diff --git a/.readthedocs.yaml b/.readthedocs.yaml
deleted file mode 100644
index a3f3c3f..0000000
--- a/.readthedocs.yaml
+++ /dev/null
@@ -1,11 +0,0 @@
-version: 2
-
-build:
-  os: ubuntu-20.04
-  tools:
-    python: "3.9"
-
-python:
-   install:
-   - requirements: doc/requirements.txt
-   - requirements: requirements.txt
\ No newline at end of file
diff --git a/README.md b/README.md
index 3a6b08a..d7dda63 100644
--- a/README.md
+++ b/README.md
@@ -45,19 +45,6 @@ att_gt.fit(formula='y')
 att_gt.aggregate('event')
 ```
 
-*differences* ATTgt benefitted substantially from the original authors' R packages: Callaway & Sant'Anna's [did](https://github.com/bcallaway11/did) and Sant'Anna and 
-Zhao's [DRDID](https://github.com/pedrohcgs/DRDID)
-
-> **_NOTE:_**  Important note on performance ! Currently, the ATTgt class allows users to pass string entity identifiers, as in the example with `df = simulate_data()` above, where the first index containing the entity identifiers is a string datatype. Note that the performance of the ATT computation (when calling `.fit()`) would improve greatly if you cast the entities to integers before initializing ATTgt. You can easily do that just by using pandas category codes.
-
-### TWFE
-
-```python
-from differences import TWFE, simulate_data
-
-df = simulate_data()
-
-twfe = TWFE(data=df, cohort_name='cohort')
-
-twfe.fit(formula='y')
-```
+*differences* ATTgt benefited from
+    - Callaway & Sant'Anna's [did](https://github.com/bcallaway11/did)
+    - Sant'Anna and Zhao's [DRDID](https://github.com/pedrohcgs/DRDID)
diff --git a/differences/tests/_attgt.py b/differences/tests/_attgt.py
deleted file mode 100644
index 6bb27bb..0000000
--- a/differences/tests/_attgt.py
+++ /dev/null
@@ -1,45 +0,0 @@
-from __future__ import annotations
-
-import pandas as pd
-
-pd.set_option("display.max_rows", 6)
-
-from differences import ATTgt, load_data
-from differences.tests._utility import get_r_did_result
-
-data_name = "rc_multi_period"
-
-params_tuple = (0, "varying", "nevertreated", "dr-mle", "random_weights")
-anticipation, base_period, control_group, est_method, weights_name = params_tuple
-
-R_result = get_r_did_result(
-    data_name=data_name,
-    params_tuple=params_tuple,
-    result_type="att_gt",
-)
-
-data_dict = getattr(load_data, data_name)()
-
-att_gt = ATTgt(
-    data=data_dict["data"],
-    cohort_name=data_dict["cohort_name"],
-    anticipation=anticipation,
-    base_period=base_period,
-)
-
-att_gt.fit(
-    formula=f"{data_dict['y_name']}",
-    control_group=control_group,
-    weights_name=weights_name,
-    est_method=est_method,
-)
-
-agg_type = "time"
-att_gt.aggregate(agg_type, overall=True)
-
-get_r_did_result(
-    data_name=data_name,
-    params_tuple=params_tuple,
-    result_type="overall",
-    agg_type=agg_type,
-)
diff --git a/differences/tests/_twfe.py b/differences/tests/_twfe.py
deleted file mode 100644
index 25b6560..0000000
--- a/differences/tests/_twfe.py
+++ /dev/null
@@ -1,23 +0,0 @@
-from __future__ import annotations
-
-from altair import HConcatChart
-from pandas import DataFrame
-
-from differences import TWFE, simulate_data
-
-panel_data = simulate_data(nentity=20)  # generate data
-
-twfe = TWFE(
-    data=panel_data,
-    cohort_name="cohort",
-)
-
-res = twfe.fit(
-    formula="y",
-    cluster_names="entity",
-)
-
-assert isinstance(res, DataFrame)
-assert len(res)
-
-assert isinstance(twfe.plot(), HConcatChart)
diff --git a/differences/tests/_utility.py b/differences/tests/_utility.py
deleted file mode 100644
index b607f5b..0000000
--- a/differences/tests/_utility.py
+++ /dev/null
@@ -1,74 +0,0 @@
-from __future__ import annotations
-
-import pickle
-from itertools import product
-from os.path import join
-from typing import NamedTuple
-
-from pandas import DataFrame
-
-from differences.datasets import load_data
-
-py_test_data = {
-    "mpdta": load_data.mpdta(),
-    "rc_multi_period": load_data.rc_multi_period(),
-}
-
-
-def flatten_res(df):
-    df.columns = [c[2] for c in list(df)]
-    return df.reset_index()
-
-
-class RATTgtArgs(NamedTuple):
-    aggregation_type = ["simple", "dynamic", "group", "calendar"]
-
-    python_agg_types = {
-        "group": "cohort",
-        "dynamic": "event",
-        "calendar": "time",
-        "simple": "simple",
-    }
-    r_est_method = {"dr-mle": "dr", "reg": "reg", "std_ipw-mle": "ipw"}
-
-    dataset_names = ["mpdta", "rc_multi_period"]
-
-    varying_args = list(
-        product(
-            ["mpdta", "rc_multi_period"],
-            [0, 1, 2],  # anticipation
-            ["varying", "universal"],  # base_period
-            ["nevertreated", "notyettreated"],  # control_group
-            ["dr-mle", "std_ipw-mle", "reg"],  # est method
-            [None, "random_weights"],  # weights
-        )
-    )
-
-
-def read_r_did_results():
-    with open(
-        f"{join(load_data._get_path(__file__), 'r_did_results')}", "rb"
-    ) as handle:
-        res = pickle.load(handle)
-    return res
-
-
-r_did_results = read_r_did_results()
-
-
-def get_r_did_result(
-    data_name: str,  # 'mpdta', 'rc_multi_period'
-    params_tuple: tuple,  # anticipation, base_period, control_group, est_method, weights
-    result_type: str,  # 'att_gt', 'aggregate', 'overall'
-    agg_type: str = None,  # 'simple', 'dynamic', 'group', 'calendar'
-):
-    res = r_did_results[data_name][params_tuple][result_type]
-
-    if result_type in ["aggregate", "overall"]:
-        if agg_type is None:
-            raise ValueError(
-                "need to provide an agg_type: 'simple', 'dynamic', 'group', 'calendar'"
-            )
-        res = res[agg_type]
-
-    return DataFrame.from_dict(res)
diff --git a/differences/tests/r_did_results b/differences/tests/r_did_results
deleted file mode 100644
index 7d83eb7..0000000
Binary files a/differences/tests/r_did_results and /dev/null differ
diff --git a/differences/tests/test_attgt.py b/differences/tests/test_attgt.py
deleted file mode 100644
index 8fac452..0000000
--- a/differences/tests/test_attgt.py
+++ /dev/null
@@ -1,119 +0,0 @@
-from __future__ import annotations
-
-import numpy as np
-import pytest
-
-from differences import ATTgt
-from differences.tests._utility import (RATTgtArgs, flatten_res,
-                                        get_r_did_result, py_test_data)
-
-
-@pytest.mark.parametrize(
-    "data_name,anticipation,base_period,control_group,est_method,weights_name",
-    RATTgtArgs.varying_args,
-)
-def test_att_gt_agains_r_did(
-    data_name, anticipation, base_period, control_group, est_method, weights_name
-) -> None:
-    # ------------------------- R --------------------------------------
-
-    R_result = get_r_did_result(
-        data_name=data_name,
-        params_tuple=(
-            anticipation,
-            base_period,
-            control_group,
-            est_method,
-            weights_name,
-        ),
-        result_type="att_gt",
-    )
-    # ------------------------- python ---------------------------------
-
-    att_gt = ATTgt(
-        data=py_test_data[data_name]["data"],
-        cohort_name=py_test_data[data_name]["cohort_name"],
-        anticipation=anticipation,
-        base_period=base_period,
-    )
-
-    py_result = att_gt.fit(
-        formula=f"{py_test_data[data_name]['y_name']}",
-        control_group=control_group,
-        weights_name=weights_name,
-        est_method=est_method,
-    )
-
-    py_result = flatten_res(py_result)
-
-    # ----------------------- compare att gt ---------------------------
-
-    assert np.allclose(
-        R_result["att"].dropna().to_numpy(), py_result["ATT"].dropna().to_numpy()
-    )
-
-    assert np.allclose(
-        R_result["se"].dropna().to_numpy(), py_result["std_error"].dropna().to_numpy()
-    )
-
-    # ----------------------- aggregate --------------------------------
-
-    for agg_type in ["event", "simple", "time", "cohort"]:
-
-        # load pre calculated R results
-
-        R_agg_res = get_r_did_result(
-            data_name=data_name,
-            params_tuple=(
-                anticipation,
-                base_period,
-                control_group,
-                est_method,
-                weights_name,
-            ),
-            result_type="aggregate",
-            agg_type=agg_type,
-        )
-
-        R_agg_overall_result = get_r_did_result(
-            data_name=data_name,
-            params_tuple=(
-                anticipation,
-                base_period,
-                control_group,
-                est_method,
-                weights_name,
-            ),
-            result_type="overall",
-            agg_type=agg_type,
-        )
-
-        # ------------------------ overall -----------------------------
-
-        py_agg_overall_result = flatten_res(att_gt.aggregate(agg_type, overall=True))
-
-        assert np.allclose(
-            R_agg_overall_result["att"].dropna().to_numpy(),
-            py_agg_overall_result["ATT"].dropna().to_numpy(),
-        )
-
-        if agg_type != "cohort":  # group_overall likely a bug in R
-            assert np.allclose(
-                R_agg_overall_result["se"].dropna().to_numpy(),
-                py_agg_overall_result["std_error"].dropna().to_numpy(),
-            )
-
-        if agg_type != "simple":
-            # ------------------------ not overall ---------------------
-
-            py_agg_result = flatten_res(att_gt.aggregate(agg_type))  # py
-
-            assert np.allclose(
-                R_agg_res["att"].dropna().to_numpy(),
-                py_agg_result["ATT"].dropna().to_numpy(),
-            )
-
-            assert np.allclose(
-                R_agg_res["se"].dropna().to_numpy(),
-                py_agg_result["std_error"].dropna().to_numpy(),
-            )
diff --git a/differences/tests/test_twfe.py b/differences/tests/test_twfe.py
deleted file mode 100644
index 0dee2cc..0000000
--- a/differences/tests/test_twfe.py
+++ /dev/null
@@ -1,26 +0,0 @@
-from __future__ import annotations
-
-from altair import HConcatChart
-from pandas import DataFrame
-
-from differences import TWFE, simulate_data
-
-panel_data = simulate_data(nentity=20)  # generate data
-
-
-def test_basic_twfe():
-    twfe = TWFE(
-        data=panel_data,
-        cohort_name="cohort",
-    )
-
-    res = twfe.fit(
-        formula="y",
-        cluster_names="entity",
-    )
-
-    assert isinstance(res, DataFrame)
-
-    assert len(res)
-
-    assert isinstance(twfe.plot(), HConcatChart)
diff --git a/differences/tools/feols/__init__.py b/differences/tools/feols/__init__.py
deleted file mode 100644
index e69de29..0000000
diff --git a/differences/tools/r_install.py b/differences/tools/r_install.py
deleted file mode 100644
index ee6c6a8..0000000
--- a/differences/tools/r_install.py
+++ /dev/null
@@ -1,57 +0,0 @@
-"""
-Module to install r-packages
-"""
-from __future__ import annotations
-
-import argparse
-
-import rpy2.robjects.packages as rpackages
-from rpy2.robjects.vectors import StrVector  # R vector of strings
-
-required = [
-    "did",
-]
-# ----------------------------------------------------------------------
-
-# import R's utility package
-r_utils = rpackages.importr("utils")
-
-# select a mirror for R packages
-r_utils.chooseCRANmirror(ind=1)  # select the first mirror in the list
-
-
-def install_rpackages(r_pkgs: list = None):
-    # Selectively install what needs to be installed.
-
-    if r_pkgs is None:
-        r_pkgs = required
-    else:
-        r_pkgs += required
-
-    if not r_pkgs:
-        print("no library specified")
-
-    else:
-        names_to_install = [x for x in set(r_pkgs) if not rpackages.isinstalled(x)]
-
-        if names_to_install:
-            names = ", ".join(names_to_install)
-            print(f"the following R libraries will be installed: {names}")
-            r_utils.install_packages(StrVector(names_to_install))
-
-        else:
-            print("all libraries already installed")
-
-
-if __name__ == "__main__":
-    parser = argparse.ArgumentParser(description=__doc__)
-    parser.add_argument(
-        "-l",
-        "--list",
-        nargs="+",
-        required=False,
-        help="A list or R packages to install from CRAN",
-    )
-    args = parser.parse_args()
-
-    install_rpackages(r_pkgs=args.list)
diff --git a/doc/requirements.txt b/doc/requirements.txt
deleted file mode 100644
index 29f55fb..0000000
--- a/doc/requirements.txt
+++ /dev/null
@@ -1,5 +0,0 @@
-furo
-sphinx_copybutton
-jupyter
-sphinx
-nbsphinx
diff --git a/doc/source/_static/css/custom.css b/doc/source/_static/css/custom.css
deleted file mode 100644
index 4410ab8..0000000
--- a/doc/source/_static/css/custom.css
+++ /dev/null
@@ -1,3 +0,0 @@
-.underline {
-  text-decoration: underline;
-}
\ No newline at end of file
diff --git a/doc/source/api_reference/attgt.rst b/doc/source/api_reference/attgt.rst
deleted file mode 100644
index 49cff6c..0000000
--- a/doc/source/api_reference/attgt.rst
+++ /dev/null
@@ -1,15 +0,0 @@
-ATTgt
-=====
-
-.. autoclass:: differences.attgt.attgt.ATTgt
-   :members:
-
-
-**Citation**
-
-..  [CS2021] Callaway, Brantly, and Pedro HC Sant’Anna. "Difference-in-differences with multiple
-    time periods." *Journal of Econometrics* 225, no. 2 (2021): 200-230.
-..  [CGS2022] Callaway, Brantly, Andrew Goodman-Bacon, and Pedro HC Sant'Anna.
-    "Difference-in-differences with a continuous treatment." *arXiv preprint* arXiv:2107.02637 (2021).
-..  [SZ2020] Sant’Anna, Pedro HC, and Jun Zhao. "Doubly robust difference-in-differences
-    estimators." *Journal of Econometrics* 219, no. 1 (2020): 101-122.
\ No newline at end of file
diff --git a/doc/source/api_reference/index.rst b/doc/source/api_reference/index.rst
deleted file mode 100644
index d2a3118..0000000
--- a/doc/source/api_reference/index.rst
+++ /dev/null
@@ -1,7 +0,0 @@
-API reference
-=============
-
-.. toctree::
-
-   attgt
-   twfe
\ No newline at end of file
diff --git a/doc/source/api_reference/twfe.rst b/doc/source/api_reference/twfe.rst
deleted file mode 100644
index 5a45291..0000000
--- a/doc/source/api_reference/twfe.rst
+++ /dev/null
@@ -1,6 +0,0 @@
-TWFE
-====
-
-
-.. autoclass:: differences.twfe.twfe.TWFE
-   :members:
diff --git a/doc/source/conf.py b/doc/source/conf.py
deleted file mode 100644
index 168691f..0000000
--- a/doc/source/conf.py
+++ /dev/null
@@ -1,124 +0,0 @@
-# Configuration file for the Sphinx documentation builder.
-#
-# This file only contains a selection of the most common options. For a full
-# list see the documentation:
-# https://www.sphinx-doc.org/en/master/usage/configuration.html
-
-# -- Path setup --------------------------------------------------------
-
-# If extensions (or modules to document with autodoc) are in another directory,
-# add these directories to sys.path here. If the directory is relative to the
-# documentation root, use os.path.abspath to make it absolute, like shown here.
-#
-from __future__ import annotations
-
-import glob
-import hashlib
-import os
-import sys
-
-sys.path.insert(0, os.path.abspath("."))
-sys.path.insert(0, os.path.abspath("../.."))
-
-# -- Project information -----------------------------------------------
-
-project = "differences"
-copyright = "2022, Bernardo Dionsi"
-author = "Bernardo Dionsi"
-
-# The full version, including alpha/beta/rc tags
-release = "0.1.0"
-
-# -- General configuration ---------------------------------------------
-
-autodoc_member_order = "bysource"
-
-# Add any Sphinx extension module names here, as strings. They can be
-# extensions coming with Sphinx (named 'sphinx.ext.*') or your custom
-# ones.
-extensions = [
-    "sphinx.ext.autodoc",
-    "sphinx.ext.autosummary",
-    # 'sphinx.ext.viewcode',
-    "sphinx_copybutton",
-    "sphinx.ext.doctest",
-    "sphinx.ext.napoleon",
-    "sphinx.ext.intersphinx",  # provides links for classes in type annotations
-    "nbsphinx",
-    "altair.sphinxext.altairplot",
-]
-
-autosummary_generate = True
-
-# Add any paths that contain templates here, relative to this directory.
-# templates_path = ['_templates']
-
-# List of patterns, relative to source directory, that match files and
-# directories to ignore when looking for source files.
-# This pattern also affects html_static_path and html_extra_path.
-exclude_patterns = []
-
-# ------------------------ Options for HTML output ---------------------
-
-# The theme to use for HTML and HTML Help pages.  See the documentation for
-# a list of builtin themes.
-#
-html_theme = "furo"
-
-html_theme_options = {
-    "sidebar_hide_name": True,
-}
-html_title = "differences"
-
-# Add any paths that contain custom static files (such as style sheets) here,
-# relative to this directory. They are copied after the builtin static files,
-# so a file named "default.css" will overwrite the builtin "default.css".
-html_static_path = ["_static"]
-
-html_logo = "images/logo/bw/logo_name_bw.png"
-# html_logo = "images/logo/bw/logo_bw.png"
-
-# These paths are either relative to html_static_path
-# or fully qualified paths (eg. https://...)
-html_css_files = [
-    "css/custom.css",
-]
-
-# todo: ADD rst_prolog to global
-#   https://stackoverflow.com/questions/9698702/how-do-i-create-a-global-role-roles-in-sphinx
-# rst_prolog = """
-# .. role:: underline
-#     :class: underline
-# """
-
-rst_prolog = """
-.. role:: underline
-"""
-
-# ----------------------------------------------------------------------
-
-# from linearmodels: copy over notebooks from examples to docs for build
-files = glob.glob("../../examples/*.ipynb")
-print(files)
-for file_to_copy in files:
-    file_name = os.path.split(file_to_copy)[-1]
-
-    out_dir = "notebooks"
-
-    if not os.path.exists(out_dir):
-        os.makedirs(out_dir, exist_ok=True)
-
-    out_file = os.path.join(out_dir, file_name)
-    existing_hash = ""
-    with open(file_to_copy, "rb") as example:
-        example_file = example.read()
-        example_hash = hashlib.sha512(example_file).hexdigest()
-
-    if os.path.exists(out_file):
-        with open(out_file, "rb") as existing:
-            existing_hash = hashlib.sha512(existing.read()).hexdigest()
-
-    if existing_hash != example_hash:
-        print(f"Copying {file_to_copy} to {out_file}")
-        with open(out_file, "wb") as out:
-            out.write(example_file)
diff --git a/doc/source/example_notebooks/index.rst b/doc/source/example_notebooks/index.rst
deleted file mode 100644
index 1f57f81..0000000
--- a/doc/source/example_notebooks/index.rst
+++ /dev/null
@@ -1,6 +0,0 @@
-Examples
-========
-
-.. toctree::
-   ../notebooks/attgt.ipynb
-   ../notebooks/twfe.ipynb
\ No newline at end of file
diff --git a/doc/source/getting_started/index.rst b/doc/source/getting_started/index.rst
deleted file mode 100644
index 36cc31f..0000000
--- a/doc/source/getting_started/index.rst
+++ /dev/null
@@ -1,10 +0,0 @@
-Getting started
-===============
-
-**Installation**
-
-Install *differences* from PyPI with pip:
-
-.. code-block:: bash
-
-  pip install differences
diff --git a/doc/source/images/logo/bw/logo_bw.png b/doc/source/images/logo/bw/logo_bw.png
deleted file mode 100644
index 373f8e9..0000000
Binary files a/doc/source/images/logo/bw/logo_bw.png and /dev/null differ
diff --git a/doc/source/images/logo/bw/logo_name_bw.png b/doc/source/images/logo/bw/logo_name_bw.png
deleted file mode 100644
index 7fbcc26..0000000
Binary files a/doc/source/images/logo/bw/logo_name_bw.png and /dev/null differ
diff --git a/doc/source/index.rst b/doc/source/index.rst
deleted file mode 100644
index 92ff63a..0000000
--- a/doc/source/index.rst
+++ /dev/null
@@ -1,20 +0,0 @@
-Difference in Differences
-=========================
-
-.. toctree::
-   :hidden:
-   :maxdepth: 3
-
-   getting_started/index
-   example_notebooks/index
-   api_reference/index
-
-
-*differences* contains a set of classes and functions for **difference-in-differences** and **event study** estimation in Python.
-
-.. Indices and tables
-.. ==================
-
-..  * :ref:`genindex`
-    * :ref:`modindex`
-    * :ref:`search`
diff --git a/doc/source/notebooks/attgt.ipynb b/doc/source/notebooks/attgt.ipynb
deleted file mode 100644
index a5b3fa1..0000000
--- a/doc/source/notebooks/attgt.ipynb
+++ /dev/null
@@ -1,3828 +0,0 @@
-{
- "cells": [
-  {
-   "cell_type": "markdown",
-   "id": "3540d2e8",
-   "metadata": {},
-   "source": [
-    "# ATTgt"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 1,
-   "id": "8db6ab5a",
-   "metadata": {},
-   "outputs": [],
-   "source": [
-    "import numpy as np\n",
-    "import pandas as pd\n",
-    "\n",
-    "pd.set_option(\"display.max_rows\", 6)\n",
-    "\n",
-    "from differences import simulate_data, ATTgt"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "id": "ea05e82e",
-   "metadata": {},
-   "source": [
-    "see [plotto](https://plotto.readthedocs.io/en/latest/notebooks/plotto.html#Plot-parameters) to configure the plots. the .plot() method takes the same arguments as the function [mark_plot() in plotto](https://plotto.readthedocs.io/en/latest/api_reference/plotto.html#plotto.plotto.mark_plot)"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "id": "ee745c62",
-   "metadata": {},
-   "source": [
-    "## Binary Treatment"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "id": "4a477966",
-   "metadata": {},
-   "source": [
-    "An entity can be either treated or not treated, and once treated it remains treated, the groups are identified by the date of the treatement (cohort)\n"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 2,
-   "id": "879da0fb",
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
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-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th>y</th>\n",
-       "      <th>x0</th>\n",
-       "      <th>w</th>\n",
-       "      <th>cat.0</th>\n",
-       "      <th>cat.1</th>\n",
-       "      <th>effect</th>\n",
-       "      <th>cohort</th>\n",
-       "      <th>intensity</th>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>entity</th>\n",
-       "      <th>time</th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
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-       "  <tbody>\n",
-       "    <tr>\n",
-       "      <th rowspan=\"3\" valign=\"top\">e0</th>\n",
-       "      <th>1900</th>\n",
-       "      <td>4.295747</td>\n",
-       "      <td>0.160245</td>\n",
-       "      <td>3.729827</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0.00</td>\n",
-       "      <td>1904.0</td>\n",
-       "      <td>5.25</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>1901</th>\n",
-       "      <td>-4.799873</td>\n",
-       "      <td>-1.933404</td>\n",
-       "      <td>1.691201</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0.00</td>\n",
-       "      <td>1904.0</td>\n",
-       "      <td>5.25</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>1902</th>\n",
-       "      <td>11.082130</td>\n",
-       "      <td>-0.056813</td>\n",
-       "      <td>1.786326</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0.00</td>\n",
-       "      <td>1904.0</td>\n",
-       "      <td>5.25</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>...</th>\n",
-       "      <th>...</th>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th rowspan=\"3\" valign=\"top\">e999</th>\n",
-       "      <th>1905</th>\n",
-       "      <td>-7.629120</td>\n",
-       "      <td>-0.258604</td>\n",
-       "      <td>1.801049</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>5.25</td>\n",
-       "      <td>1904.0</td>\n",
-       "      <td>5.25</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>1906</th>\n",
-       "      <td>39.241097</td>\n",
-       "      <td>1.504564</td>\n",
-       "      <td>0.616657</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>10.50</td>\n",
-       "      <td>1904.0</td>\n",
-       "      <td>5.25</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>1907</th>\n",
-       "      <td>23.619567</td>\n",
-       "      <td>0.472740</td>\n",
-       "      <td>0.674045</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>15.75</td>\n",
-       "      <td>1904.0</td>\n",
-       "      <td>5.25</td>\n",
-       "    </tr>\n",
-       "  </tbody>\n",
-       "</table>\n",
-       "<p>8000 rows × 8 columns</p>\n",
-       "</div>"
-      ],
-      "text/plain": [
-       "                     y        x0         w  cat.0  cat.1  effect  cohort  \\\n",
-       "entity time                                                                \n",
-       "e0     1900   4.295747  0.160245  3.729827      0      0    0.00  1904.0   \n",
-       "       1901  -4.799873 -1.933404  1.691201      0      0    0.00  1904.0   \n",
-       "       1902  11.082130 -0.056813  1.786326      0      0    0.00  1904.0   \n",
-       "...                ...       ...       ...    ...    ...     ...     ...   \n",
-       "e999   1905  -7.629120 -0.258604  1.801049      0      0    5.25  1904.0   \n",
-       "       1906  39.241097  1.504564  0.616657      0      0   10.50  1904.0   \n",
-       "       1907  23.619567  0.472740  0.674045      0      0   15.75  1904.0   \n",
-       "\n",
-       "             intensity  \n",
-       "entity time             \n",
-       "e0     1900       5.25  \n",
-       "       1901       5.25  \n",
-       "       1902       5.25  \n",
-       "...                ...  \n",
-       "e999   1905       5.25  \n",
-       "       1906       5.25  \n",
-       "       1907       5.25  \n",
-       "\n",
-       "[8000 rows x 8 columns]"
-      ]
-     },
-     "execution_count": 2,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "panel_data = simulate_data()  # generate data\n",
-    "\n",
-    "panel_data"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 3,
-   "id": "d6f7a10f",
-   "metadata": {},
-   "outputs": [],
-   "source": [
-    "att_gt = ATTgt(data=panel_data, cohort_name=\"cohort\")"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 4,
-   "id": "d3b72951",
-   "metadata": {},
-   "outputs": [
-    {
-     "name": "stderr",
-     "output_type": "stream",
-     "text": [
-      "Computing ATTgt [workers=1]   100%|████████████████████| 14/14 [00:00<00:00, 59.11it/s]\n"
-     ]
-    },
-    {
-     "data": {
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-       "      <th></th>\n",
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-       "      <th></th>\n",
-       "      <th colspan=\"5\" halign=\"left\">ATTgtResult</th>\n",
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-       "    <tr>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th>analytic</th>\n",
-       "      <th colspan=\"3\" halign=\"left\">pointwise conf. band</th>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th>ATT</th>\n",
-       "      <th>std_error</th>\n",
-       "      <th>lower</th>\n",
-       "      <th>upper</th>\n",
-       "      <th>zero_not_in_cband</th>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>cohort</th>\n",
-       "      <th>base_period</th>\n",
-       "      <th>time</th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "    </tr>\n",
-       "  </thead>\n",
-       "  <tbody>\n",
-       "    <tr>\n",
-       "      <th rowspan=\"3\" valign=\"top\">1903</th>\n",
-       "      <th>1900</th>\n",
-       "      <th>1901</th>\n",
-       "      <td>0.447031</td>\n",
-       "      <td>1.407877</td>\n",
-       "      <td>-2.312357</td>\n",
-       "      <td>3.206418</td>\n",
-       "      <td></td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>1901</th>\n",
-       "      <th>1902</th>\n",
-       "      <td>0.196806</td>\n",
-       "      <td>1.293725</td>\n",
-       "      <td>-2.338849</td>\n",
-       "      <td>2.732461</td>\n",
-       "      <td></td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>1902</th>\n",
-       "      <th>1903</th>\n",
-       "      <td>2.613823</td>\n",
-       "      <td>1.295713</td>\n",
-       "      <td>0.074272</td>\n",
-       "      <td>5.153373</td>\n",
-       "      <td>*</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>...</th>\n",
-       "      <th>...</th>\n",
-       "      <th>...</th>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th rowspan=\"3\" valign=\"top\">1904</th>\n",
-       "      <th rowspan=\"3\" valign=\"top\">1903</th>\n",
-       "      <th>1905</th>\n",
-       "      <td>3.701955</td>\n",
-       "      <td>1.352406</td>\n",
-       "      <td>1.051288</td>\n",
-       "      <td>6.352621</td>\n",
-       "      <td>*</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>1906</th>\n",
-       "      <td>10.637781</td>\n",
-       "      <td>1.302243</td>\n",
-       "      <td>8.085431</td>\n",
-       "      <td>13.190131</td>\n",
-       "      <td>*</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>1907</th>\n",
-       "      <td>13.856575</td>\n",
-       "      <td>1.353726</td>\n",
-       "      <td>11.203320</td>\n",
-       "      <td>16.509830</td>\n",
-       "      <td>*</td>\n",
-       "    </tr>\n",
-       "  </tbody>\n",
-       "</table>\n",
-       "<p>14 rows × 5 columns</p>\n",
-       "</div>"
-      ],
-      "text/plain": [
-       "                        ATTgtResult                                            \\\n",
-       "                                     analytic pointwise conf. band              \n",
-       "                                ATT std_error                lower      upper   \n",
-       "cohort base_period time                                                         \n",
-       "1903   1900        1901    0.447031  1.407877            -2.312357   3.206418   \n",
-       "       1901        1902    0.196806  1.293725            -2.338849   2.732461   \n",
-       "       1902        1903    2.613823  1.295713             0.074272   5.153373   \n",
-       "...                             ...       ...                  ...        ...   \n",
-       "1904   1903        1905    3.701955  1.352406             1.051288   6.352621   \n",
-       "                   1906   10.637781  1.302243             8.085431  13.190131   \n",
-       "                   1907   13.856575  1.353726            11.203320  16.509830   \n",
-       "\n",
-       "                                           \n",
-       "                                           \n",
-       "                        zero_not_in_cband  \n",
-       "cohort base_period time                    \n",
-       "1903   1900        1901                    \n",
-       "       1901        1902                    \n",
-       "       1902        1903                 *  \n",
-       "...                                   ...  \n",
-       "1904   1903        1905                 *  \n",
-       "                   1906                 *  \n",
-       "                   1907                 *  \n",
-       "\n",
-       "[14 rows x 5 columns]"
-      ]
-     },
-     "execution_count": 4,
-     "metadata": {},
-     "output_type": "execute_result"
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-   ],
-   "source": [
-    "att_gt.fit(\n",
-    "    formula=\"y ~ x0\",\n",
-    ")"
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-  },
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-   "execution_count": 5,
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{\"zero\": false}, \"sort\": null, \"title\": \"time\", \"type\": \"quantitative\"}, \"y\": {\"field\": \"lower\", \"type\": \"quantitative\"}}, \"height\": 300, \"title\": {\"text\": \"ATTgt Result\", \"subtitle\": \"\"}, \"width\": 450}, {\"mark\": {\"type\": \"tick\", \"orient\": \"horizontal\"}, \"encoding\": {\"color\": {\"field\": \"post\", \"legend\": null, \"scale\": {\"range\": [\"#DA722E\", \"#0B5345\", \"#DDCC77\", \"#88CCEE\", \"#2275A9\", \"#CC6677\"], \"type\": \"linear\"}, \"type\": \"nominal\"}, \"opacity\": {\"condition\": {\"value\": 0.9, \"selection\": {\"or\": [\"selector001\", \"selector002\"]}}, \"value\": 0.01}, \"x\": {\"field\": \"time\", \"scale\": {\"zero\": false}, \"sort\": null, \"title\": \"time\", \"type\": \"quantitative\"}, \"y\": {\"field\": \"upper\", \"type\": \"quantitative\"}}, \"height\": 300, \"title\": {\"text\": \"ATTgt Result\", \"subtitle\": \"\"}, \"width\": 450}], \"resolve\": {\"scale\": {\"color\": \"independent\", \"shape\": \"independent\", \"strokeDash\": \"independent\"}}}], \"data\": {\"name\": \"data-0cb3272859935a5a93a8262a3eae340e\"}}, {\"hconcat\": [{\"mark\": {\"type\": \"text\", \"align\": \"left\", \"fontWeight\": \"bold\"}, \"encoding\": {\"text\": {\"field\": \"name\", \"type\": \"nominal\"}, \"y\": {\"axis\": null, \"field\": \"row_number\", \"type\": \"ordinal\"}}, \"transform\": [{\"window\": [{\"op\": \"row_number\", \"field\": \"\", \"as\": \"row_number\"}]}]}, {\"mark\": {\"type\": \"text\", \"align\": \"left\"}, \"encoding\": {\"text\": {\"field\": \"info\", \"type\": \"nominal\"}, \"y\": {\"axis\": null, \"field\": \"row_number\", \"type\": \"ordinal\"}}, \"transform\": [{\"window\": [{\"op\": \"row_number\", \"field\": \"\", \"as\": \"row_number\"}]}]}], \"data\": {\"name\": \"data-d264e36677b46d1b535e9fe0cb8bccb1\"}}], \"spacing\": 50, \"$schema\": \"https://vega.github.io/schema/vega-lite/v4.17.0.json\", \"datasets\": {\"data-0cb3272859935a5a93a8262a3eae340e\": [{\"cohort\": \"1903\", \"base_period\": 1900, \"time\": 1901, \"post\": \"pre\", \"ATT\": 0.44703069022811853, \"std_error\": 1.407876767966522, \"lower\": -2.3123570696569193, \"upper\": 3.2064184501131563, \"zero_not_in_cband\": \"\"}, {\"cohort\": \"1903\", \"base_period\": 1901, \"time\": 1902, \"post\": \"pre\", \"ATT\": 0.1968058318403339, \"std_error\": 1.2937254681632469, \"lower\": -2.33884949164185, \"upper\": 2.7324611553225178, \"zero_not_in_cband\": \"\"}, {\"cohort\": \"1903\", \"base_period\": 1902, \"time\": 1903, \"post\": \"pre\", \"ATT\": 2.6138227305543347, \"std_error\": 1.295712958550229, \"lower\": 0.074271997494046, \"upper\": 5.153373463614623, \"zero_not_in_cband\": \"*\"}, {\"cohort\": \"1903\", \"base_period\": 1902, \"time\": 1904, \"post\": \"post\", \"ATT\": 0.6114409050724828, \"std_error\": 1.2825950766875738, \"lower\": -1.9023992519835504, \"upper\": 3.125281062128516, \"zero_not_in_cband\": \"\"}, {\"cohort\": \"1903\", \"base_period\": 1902, \"time\": 1905, \"post\": \"post\", \"ATT\": 0.9235470105307731, \"std_error\": 1.3721254449860232, \"lower\": -1.7657694439128275, \"upper\": 3.612863464974374, \"zero_not_in_cband\": \"\"}, {\"cohort\": \"1903\", \"base_period\": 1902, \"time\": 1906, \"post\": \"post\", \"ATT\": 3.3464882224757577, \"std_error\": 1.2785312618482703, \"lower\": 0.840612996144599, \"upper\": 5.8523634488069165, \"zero_not_in_cband\": \"*\"}, {\"cohort\": \"1903\", \"base_period\": 1902, \"time\": 1907, \"post\": \"post\", \"ATT\": 1.675674914101901, \"std_error\": 1.3255018373581573, \"lower\": -0.9222609485617557, \"upper\": 4.273610776765557, \"zero_not_in_cband\": \"\"}, {\"cohort\": \"1904\", \"base_period\": 1900, \"time\": 1901, \"post\": \"pre\", \"ATT\": -0.5443416761114394, \"std_error\": 1.4286072949149011, \"lower\": -3.3443605221958372, \"upper\": 2.2556771699729583, \"zero_not_in_cband\": \"\"}, {\"cohort\": \"1904\", \"base_period\": 1901, \"time\": 1902, \"post\": \"pre\", \"ATT\": 1.3120862655661096, \"std_error\": 1.2964336254631692, \"lower\": -1.2288769486883917, \"upper\": 3.853049479820611, \"zero_not_in_cband\": \"\"}, {\"cohort\": \"1904\", \"base_period\": 1902, \"time\": 1903, \"post\": \"pre\", \"ATT\": 2.5570485114286163, \"std_error\": 1.2885245376265657, \"lower\": 0.03158682448442196, \"upper\": 5.082510198372811, \"zero_not_in_cband\": \"*\"}, {\"cohort\": \"1904\", \"base_period\": 1903, \"time\": 1904, \"post\": \"pre\", \"ATT\": -1.286336350354729, \"std_error\": 1.3508971699535932, \"lower\": -3.9340461502808557, \"upper\": 1.361373449571398, \"zero_not_in_cband\": \"\"}, {\"cohort\": \"1904\", \"base_period\": 1903, \"time\": 1905, \"post\": \"post\", \"ATT\": 3.7019548282463104, \"std_error\": 1.3524056767119654, \"lower\": 1.0512884094033383, \"upper\": 6.352621247089282, \"zero_not_in_cband\": \"*\"}, {\"cohort\": \"1904\", \"base_period\": 1903, \"time\": 1906, \"post\": \"post\", \"ATT\": 10.6377812222811, \"std_error\": 1.302243255495121, \"lower\": 8.085431342400472, \"upper\": 13.190131102161729, \"zero_not_in_cband\": \"*\"}, {\"cohort\": \"1904\", \"base_period\": 1903, \"time\": 1907, \"post\": \"post\", \"ATT\": 13.856575279579342, \"std_error\": 1.3537263004489328, \"lower\": 11.203320485774785, \"upper\": 16.5098300733839, \"zero_not_in_cband\": \"*\"}], \"data-d264e36677b46d1b535e9fe0cb8bccb1\": [{\"name\": \"Anticipation\", \"info\": \"0\"}, {\"name\": \"Base period type\", \"info\": \"varying\"}, {\"name\": \"Is panel\", \"info\": \"True\"}, {\"name\": \"Is balanced panel\", \"info\": \"True\"}, {\"name\": \"As repeated cross section\", \"info\": \"False\"}, {\"name\": \"Control group\", \"info\": \"never_treated\"}, {\"name\": \"Formula\", \"info\": \"y ~ x0\"}, {\"name\": \"Cluster by entity\", \"info\": \"True\"}, {\"name\": \"Base delta\", \"info\": \"{'base': ['Intercept', 'x0'], 'delta': []}\"}]}}, {\"mode\": \"vega-lite\"});\n",
-       "</script>"
-      ],
-      "text/plain": [
-       "alt.HConcatChart(...)"
-      ]
-     },
-     "execution_count": 5,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "att_gt.plot(configure_axisX={\"format\": \"c\"})"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "id": "ab0ec44b",
-   "metadata": {},
-   "source": [
-    "### Aggregate"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 6,
-   "id": "a977132e",
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/html": [
-       "\n",
-       "<div id=\"altair-viz-02b7fd2addda48a5a677730e15716210\"></div>\n",
-       "<script type=\"text/javascript\">\n",
-       "  var VEGA_DEBUG = (typeof VEGA_DEBUG == \"undefined\") ? {} : VEGA_DEBUG;\n",
-       "  (function(spec, embedOpt){\n",
-       "    let outputDiv = document.currentScript.previousElementSibling;\n",
-       "    if (outputDiv.id !== \"altair-viz-02b7fd2addda48a5a677730e15716210\") {\n",
-       "      outputDiv = document.getElementById(\"altair-viz-02b7fd2addda48a5a677730e15716210\");\n",
-       "    }\n",
-       "    const paths = {\n",
-       "      \"vega\": \"https://cdn.jsdelivr.net/npm//vega@5?noext\",\n",
-       "      \"vega-lib\": \"https://cdn.jsdelivr.net/npm//vega-lib?noext\",\n",
-       "      \"vega-lite\": \"https://cdn.jsdelivr.net/npm//vega-lite@4.17.0?noext\",\n",
-       "      \"vega-embed\": \"https://cdn.jsdelivr.net/npm//vega-embed@6?noext\",\n",
-       "    };\n",
-       "\n",
-       "    function maybeLoadScript(lib, version) {\n",
-       "      var key = `${lib.replace(\"-\", \"\")}_version`;\n",
-       "      return (VEGA_DEBUG[key] == version) ?\n",
-       "        Promise.resolve(paths[lib]) :\n",
-       "        new Promise(function(resolve, reject) {\n",
-       "          var s = document.createElement('script');\n",
-       "          document.getElementsByTagName(\"head\")[0].appendChild(s);\n",
-       "          s.async = true;\n",
-       "          s.onload = () => {\n",
-       "            VEGA_DEBUG[key] = version;\n",
-       "            return resolve(paths[lib]);\n",
-       "          };\n",
-       "          s.onerror = () => reject(`Error loading script: ${paths[lib]}`);\n",
-       "          s.src = paths[lib];\n",
-       "        });\n",
-       "    }\n",
-       "\n",
-       "    function showError(err) {\n",
-       "      outputDiv.innerHTML = `<div class=\"error\" style=\"color:red;\">${err}</div>`;\n",
-       "      throw err;\n",
-       "    }\n",
-       "\n",
-       "    function displayChart(vegaEmbed) {\n",
-       "      vegaEmbed(outputDiv, spec, embedOpt)\n",
-       "        .catch(err => showError(`Javascript Error: ${err.message}<br>This usually means there's a typo in your chart specification. See the javascript console for the full traceback.`));\n",
-       "    }\n",
-       "\n",
-       "    if(typeof define === \"function\" && define.amd) {\n",
-       "      requirejs.config({paths});\n",
-       "      require([\"vega-embed\"], displayChart, err => showError(`Error loading script: ${err.message}`));\n",
-       "    } else {\n",
-       "      maybeLoadScript(\"vega\", \"5\")\n",
-       "        .then(() => maybeLoadScript(\"vega-lite\", \"4.17.0\"))\n",
-       "        .then(() => maybeLoadScript(\"vega-embed\", \"6\"))\n",
-       "        .catch(showError)\n",
-       "        .then(() => displayChart(vegaEmbed));\n",
-       "    }\n",
-       "  })({\"config\": {\"view\": {\"continuousWidth\": 400, \"continuousHeight\": 300, \"strokeWidth\": 0}, \"axis\": {}, \"axisX\": {\"format\": \"c\", \"grid\": false, \"labelAngle\": 0, \"labelSeparation\": 1, \"titlePadding\": 15}, \"axisY\": {\"domain\": false, \"labelAngle\": 0, \"labelPadding\": 10, \"ticks\": false, \"titleAngle\": 0, \"titlePadding\": 35}, \"header\": {}, \"title\": {\"fontSize\": 16, \"offset\": 15, \"subtitleFontSize\": 13, \"subtitlePadding\": 7}}, \"hconcat\": [{\"concat\": [{\"layer\": [{\"mark\": {\"type\": \"point\", \"filled\": true, \"size\": 60}, \"encoding\": {\"color\": {\"value\": \"#DA722E\"}, \"opacity\": {\"value\": 0.9}, \"shape\": {}, \"size\": {}, \"tooltip\": [{\"field\": \"ATT\", \"type\": \"quantitative\"}], \"x\": {\"field\": \"time\", \"scale\": {\"zero\": false}, \"sort\": null, \"title\": \"time\", \"type\": \"quantitative\"}, \"y\": {\"field\": \"ATT\", \"title\": \"ATT\", \"type\": \"quantitative\"}}, \"height\": 300, \"selection\": {\"selector004\": {\"type\": \"interval\", \"bind\": \"scales\", \"encodings\": [\"x\", \"y\"]}}, \"title\": {\"text\": \"Time Aggregation\", \"subtitle\": \"\"}, \"width\": 450}, {\"mark\": {\"type\": \"line\", \"strokeOpacity\": 0.5, \"strokeWidth\": 2}, \"encoding\": {\"color\": {\"value\": \"#DA722E\"}, \"opacity\": {\"value\": 0.9}, \"strokeDash\": {}, \"x\": {\"field\": \"time\", \"scale\": {\"zero\": false}, \"sort\": null, \"title\": \"time\", \"type\": \"quantitative\"}, \"y\": {\"field\": \"ATT\", \"title\": \"ATT\", \"type\": \"quantitative\"}}, \"height\": 300, \"title\": {\"text\": \"Time Aggregation\", \"subtitle\": \"\"}, \"width\": 450}, {\"mark\": \"rule\", \"encoding\": {\"color\": {\"value\": \"#DA722E\"}, \"opacity\": {\"value\": 0.9}, \"x\": {\"field\": \"time\", \"scale\": {\"zero\": false}, \"sort\": null, \"title\": \"time\", \"type\": \"quantitative\"}, \"y\": {\"field\": \"upper\", \"type\": \"quantitative\"}, \"y2\": {\"field\": \"lower\"}}, \"height\": 300, \"title\": {\"text\": \"Time Aggregation\", \"subtitle\": \"\"}, \"width\": 450}, {\"mark\": {\"type\": \"tick\", \"orient\": \"horizontal\"}, \"encoding\": {\"color\": {\"value\": \"#DA722E\"}, \"opacity\": {\"value\": 0.9}, \"x\": {\"field\": \"time\", \"scale\": {\"zero\": false}, \"sort\": null, \"title\": \"time\", \"type\": \"quantitative\"}, \"y\": {\"field\": \"lower\", \"type\": \"quantitative\"}}, \"height\": 300, \"title\": {\"text\": \"Time Aggregation\", \"subtitle\": \"\"}, \"width\": 450}, {\"mark\": {\"type\": \"tick\", \"orient\": \"horizontal\"}, \"encoding\": {\"color\": {\"value\": \"#DA722E\"}, \"opacity\": {\"value\": 0.9}, \"x\": {\"field\": \"time\", \"scale\": {\"zero\": false}, \"sort\": null, \"title\": \"time\", \"type\": \"quantitative\"}, \"y\": {\"field\": \"upper\", \"type\": \"quantitative\"}}, \"height\": 300, \"title\": {\"text\": \"Time Aggregation\", \"subtitle\": \"\"}, \"width\": 450}], \"resolve\": {\"scale\": {\"color\": \"independent\", \"shape\": \"independent\", \"strokeDash\": \"independent\"}}}], \"data\": {\"name\": \"data-7b449112289be5e475a8c95f0f4be5b8\"}}, {\"hconcat\": [{\"mark\": {\"type\": \"text\", \"align\": \"left\", \"fontWeight\": \"bold\"}, \"encoding\": {\"text\": {\"field\": \"name\", \"type\": \"nominal\"}, \"y\": {\"axis\": null, \"field\": \"row_number\", \"type\": \"ordinal\"}}, \"transform\": [{\"window\": [{\"op\": \"row_number\", \"field\": \"\", \"as\": \"row_number\"}]}]}, {\"mark\": {\"type\": \"text\", \"align\": \"left\"}, \"encoding\": {\"text\": {\"field\": \"info\", \"type\": \"nominal\"}, \"y\": {\"axis\": null, \"field\": \"row_number\", \"type\": \"ordinal\"}}, \"transform\": [{\"window\": [{\"op\": \"row_number\", \"field\": \"\", \"as\": \"row_number\"}]}]}], \"data\": {\"name\": \"data-d264e36677b46d1b535e9fe0cb8bccb1\"}}], \"spacing\": 50, \"$schema\": \"https://vega.github.io/schema/vega-lite/v4.17.0.json\", \"datasets\": {\"data-7b449112289be5e475a8c95f0f4be5b8\": [{\"time\": 1903, \"ATT\": 2.6138227305543347, \"std_error\": 1.295712958550229, \"lower\": 0.074271997494046, \"upper\": 5.153373463614623, \"zero_not_in_cband\": \"*\"}, {\"time\": 1904, \"ATT\": -0.33744772264112305, \"std_error\": 1.0496071912079932, \"lower\": -2.3946400153230356, \"upper\": 1.7197445700407896, \"zero_not_in_cband\": \"\"}, {\"time\": 1905, \"ATT\": 2.3127509193885416, \"std_error\": 1.1174592436032391, \"lower\": 0.12257104773482208, \"upper\": 4.502930791042261, \"zero_not_in_cband\": \"*\"}, {\"time\": 1906, \"ATT\": 6.992134722378429, \"std_error\": 1.0276492497831398, \"lower\": 4.977979204063869, \"upper\": 9.006290240692989, \"zero_not_in_cband\": \"*\"}, {\"time\": 1907, \"ATT\": 7.7661250968406215, \"std_error\": 1.1225414546316566, \"lower\": 5.565984274609372, \"upper\": 9.966265919071871, \"zero_not_in_cband\": \"*\"}], \"data-d264e36677b46d1b535e9fe0cb8bccb1\": [{\"name\": \"Anticipation\", \"info\": \"0\"}, {\"name\": \"Base period type\", \"info\": \"varying\"}, {\"name\": \"Is panel\", \"info\": \"True\"}, {\"name\": \"Is balanced panel\", \"info\": \"True\"}, {\"name\": \"As repeated cross section\", \"info\": \"False\"}, {\"name\": \"Control group\", \"info\": \"never_treated\"}, {\"name\": \"Formula\", \"info\": \"y ~ x0\"}, {\"name\": \"Cluster by entity\", \"info\": \"True\"}, {\"name\": \"Base delta\", \"info\": \"{'base': ['Intercept', 'x0'], 'delta': []}\"}]}}, {\"mode\": \"vega-lite\"});\n",
-       "</script>"
-      ],
-      "text/plain": [
-       "alt.HConcatChart(...)"
-      ]
-     },
-     "execution_count": 6,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "att_gt.aggregate(\"time\")\n",
-    "att_gt.plot(\"time\", configure_axisX={\"format\": \"c\"})"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 7,
-   "id": "f0321319",
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/html": [
-       "\n",
-       "<div id=\"altair-viz-9cd90fd7954d431d9b146ad2d9784d51\"></div>\n",
-       "<script type=\"text/javascript\">\n",
-       "  var VEGA_DEBUG = (typeof VEGA_DEBUG == \"undefined\") ? {} : VEGA_DEBUG;\n",
-       "  (function(spec, embedOpt){\n",
-       "    let outputDiv = document.currentScript.previousElementSibling;\n",
-       "    if (outputDiv.id !== \"altair-viz-9cd90fd7954d431d9b146ad2d9784d51\") {\n",
-       "      outputDiv = document.getElementById(\"altair-viz-9cd90fd7954d431d9b146ad2d9784d51\");\n",
-       "    }\n",
-       "    const paths = {\n",
-       "      \"vega\": \"https://cdn.jsdelivr.net/npm//vega@5?noext\",\n",
-       "      \"vega-lib\": \"https://cdn.jsdelivr.net/npm//vega-lib?noext\",\n",
-       "      \"vega-lite\": \"https://cdn.jsdelivr.net/npm//vega-lite@4.17.0?noext\",\n",
-       "      \"vega-embed\": \"https://cdn.jsdelivr.net/npm//vega-embed@6?noext\",\n",
-       "    };\n",
-       "\n",
-       "    function maybeLoadScript(lib, version) {\n",
-       "      var key = `${lib.replace(\"-\", \"\")}_version`;\n",
-       "      return (VEGA_DEBUG[key] == version) ?\n",
-       "        Promise.resolve(paths[lib]) :\n",
-       "        new Promise(function(resolve, reject) {\n",
-       "          var s = document.createElement('script');\n",
-       "          document.getElementsByTagName(\"head\")[0].appendChild(s);\n",
-       "          s.async = true;\n",
-       "          s.onload = () => {\n",
-       "            VEGA_DEBUG[key] = version;\n",
-       "            return resolve(paths[lib]);\n",
-       "          };\n",
-       "          s.onerror = () => reject(`Error loading script: ${paths[lib]}`);\n",
-       "          s.src = paths[lib];\n",
-       "        });\n",
-       "    }\n",
-       "\n",
-       "    function showError(err) {\n",
-       "      outputDiv.innerHTML = `<div class=\"error\" style=\"color:red;\">${err}</div>`;\n",
-       "      throw err;\n",
-       "    }\n",
-       "\n",
-       "    function displayChart(vegaEmbed) {\n",
-       "      vegaEmbed(outputDiv, spec, embedOpt)\n",
-       "        .catch(err => showError(`Javascript Error: ${err.message}<br>This usually means there's a typo in your chart specification. See the javascript console for the full traceback.`));\n",
-       "    }\n",
-       "\n",
-       "    if(typeof define === \"function\" && define.amd) {\n",
-       "      requirejs.config({paths});\n",
-       "      require([\"vega-embed\"], displayChart, err => showError(`Error loading script: ${err.message}`));\n",
-       "    } else {\n",
-       "      maybeLoadScript(\"vega\", \"5\")\n",
-       "        .then(() => maybeLoadScript(\"vega-lite\", \"4.17.0\"))\n",
-       "        .then(() => maybeLoadScript(\"vega-embed\", \"6\"))\n",
-       "        .catch(showError)\n",
-       "        .then(() => displayChart(vegaEmbed));\n",
-       "    }\n",
-       "  })({\"config\": {\"view\": {\"continuousWidth\": 400, \"continuousHeight\": 300, \"strokeWidth\": 0}, \"axis\": {}, \"axisX\": {\"grid\": false, \"labelAngle\": 0, \"labelSeparation\": 1, \"titlePadding\": 15}, \"axisY\": {\"domain\": false, \"labelAngle\": 0, \"labelPadding\": 10, \"ticks\": false, \"titleAngle\": 0, \"titlePadding\": 35}, \"header\": {}, \"title\": {\"fontSize\": 16, \"offset\": 15, \"subtitleFontSize\": 13, \"subtitlePadding\": 7}}, \"hconcat\": [{\"concat\": [{\"layer\": [{\"mark\": {\"type\": \"point\", \"filled\": true, \"size\": 60}, \"encoding\": {\"color\": {\"value\": \"#DA722E\"}, \"opacity\": {\"value\": 0.9}, \"shape\": {}, \"size\": {}, \"tooltip\": [{\"field\": \"ATT\", \"type\": \"quantitative\"}], \"x\": {\"field\": \"relative_period\", \"scale\": {\"zero\": false}, \"sort\": null, \"title\": \"relative_period\", \"type\": \"quantitative\"}, \"y\": {\"field\": \"ATT\", \"title\": \"ATT\", \"type\": \"quantitative\"}}, \"height\": 300, \"selection\": {\"selector005\": {\"type\": \"interval\", \"bind\": \"scales\", \"encodings\": [\"x\", \"y\"]}}, \"title\": {\"text\": \"Event Aggregation\", \"subtitle\": \"\"}, \"width\": 450}, {\"mark\": {\"type\": \"line\", \"strokeOpacity\": 0.5, \"strokeWidth\": 2}, \"encoding\": {\"color\": {\"value\": \"#DA722E\"}, \"opacity\": {\"value\": 0.9}, \"strokeDash\": {}, \"x\": {\"field\": \"relative_period\", \"scale\": {\"zero\": false}, \"sort\": null, \"title\": \"relative_period\", \"type\": \"quantitative\"}, \"y\": {\"field\": \"ATT\", \"title\": \"ATT\", \"type\": \"quantitative\"}}, \"height\": 300, \"title\": {\"text\": \"Event Aggregation\", \"subtitle\": \"\"}, \"width\": 450}, {\"mark\": \"area\", \"encoding\": {\"color\": {\"value\": \"#DA722E\"}, \"opacity\": {\"value\": 0.36}, \"x\": {\"field\": \"relative_period\", \"scale\": {\"zero\": false}, \"sort\": null, \"title\": \"relative_period\", \"type\": \"quantitative\"}, \"y\": {\"field\": \"lower\", \"type\": 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\"info\": \"never_treated\"}, {\"name\": \"Formula\", \"info\": \"y ~ x0\"}, {\"name\": \"Cluster by entity\", \"info\": \"True\"}, {\"name\": \"Base delta\", \"info\": \"{'base': ['Intercept', 'x0'], 'delta': []}\"}]}}, {\"mode\": \"vega-lite\"});\n",
-       "</script>"
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-       "alt.HConcatChart(...)"
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-     "execution_count": 7,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "att_gt.aggregate(\"event\")\n",
-    "att_gt.plot(\"event\")"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 8,
-   "id": "cd3edc08",
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-       "</script>"
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-      "text/plain": [
-       "alt.HConcatChart(...)"
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-     },
-     "execution_count": 8,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "att_gt.aggregate(\"cohort\")\n",
-    "att_gt.plot(\"cohort\", lines=False, configure_axisX={\"format\": \"c\"})"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 9,
-   "id": "9a0cf76b",
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/html": [
-       "<div>\n",
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-       "  <thead>\n",
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-       "      <th></th>\n",
-       "      <th colspan=\"5\" halign=\"left\">SimpleAggregation</th>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th>analytic</th>\n",
-       "      <th colspan=\"3\" halign=\"left\">pointwise conf. band</th>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th></th>\n",
-       "      <th>ATT</th>\n",
-       "      <th>std_error</th>\n",
-       "      <th>lower</th>\n",
-       "      <th>upper</th>\n",
-       "      <th>zero_not_in_cband</th>\n",
-       "    </tr>\n",
-       "  </thead>\n",
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-       "    <tr>\n",
-       "      <th>0</th>\n",
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-       "      <td>5.43549</td>\n",
-       "      <td>*</td>\n",
-       "    </tr>\n",
-       "  </tbody>\n",
-       "</table>\n",
-       "</div>"
-      ],
-      "text/plain": [
-       "  SimpleAggregation                                                          \n",
-       "                     analytic pointwise conf. band                           \n",
-       "                ATT std_error                lower    upper zero_not_in_cband\n",
-       "0          4.008994  0.727817             2.582498  5.43549                 *"
-      ]
-     },
-     "execution_count": 9,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "att_gt.aggregate(\"simple\")"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 10,
-   "id": "09c79b30",
-   "metadata": {},
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-    {
-     "data": {
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-       "<div>\n",
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-       "      <th>std_error</th>\n",
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-       "      <th>upper</th>\n",
-       "      <th>zero_not_in_cband</th>\n",
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-       "  </thead>\n",
-       "  <tbody>\n",
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-       "      <th>0</th>\n",
-       "      <td>4.008994</td>\n",
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-       "      <td>5.43549</td>\n",
-       "      <td>*</td>\n",
-       "    </tr>\n",
-       "  </tbody>\n",
-       "</table>\n",
-       "</div>"
-      ],
-      "text/plain": [
-       "  SimpleAggregation                                                          \n",
-       "                     analytic pointwise conf. band                           \n",
-       "                ATT std_error                lower    upper zero_not_in_cband\n",
-       "0          4.008994  0.727817             2.582498  5.43549                 *"
-      ]
-     },
-     "execution_count": 10,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "att_gt.aggregate(\"simple\")"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 11,
-   "id": "52a93a69",
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/html": [
-       "<div>\n",
-       "<style scoped>\n",
-       "    .dataframe tbody tr th:only-of-type {\n",
-       "        vertical-align: middle;\n",
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-       "\n",
-       "    .dataframe tbody tr th {\n",
-       "        vertical-align: top;\n",
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-       "\n",
-       "    .dataframe thead tr th {\n",
-       "        text-align: left;\n",
-       "    }\n",
-       "</style>\n",
-       "<table border=\"1\" class=\"dataframe\">\n",
-       "  <thead>\n",
-       "    <tr>\n",
-       "      <th></th>\n",
-       "      <th colspan=\"5\" halign=\"left\">EventAggregationOverall</th>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th>analytic</th>\n",
-       "      <th colspan=\"3\" halign=\"left\">pointwise conf. band</th>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th></th>\n",
-       "      <th>ATT</th>\n",
-       "      <th>std_error</th>\n",
-       "      <th>lower</th>\n",
-       "      <th>upper</th>\n",
-       "      <th>zero_not_in_cband</th>\n",
-       "    </tr>\n",
-       "  </thead>\n",
-       "  <tbody>\n",
-       "    <tr>\n",
-       "      <th>0</th>\n",
-       "      <td>3.775662</td>\n",
-       "      <td>0.742154</td>\n",
-       "      <td>2.321068</td>\n",
-       "      <td>5.230257</td>\n",
-       "      <td>*</td>\n",
-       "    </tr>\n",
-       "  </tbody>\n",
-       "</table>\n",
-       "</div>"
-      ],
-      "text/plain": [
-       "  EventAggregationOverall                                           \\\n",
-       "                           analytic pointwise conf. band             \n",
-       "                      ATT std_error                lower     upper   \n",
-       "0                3.775662  0.742154             2.321068  5.230257   \n",
-       "\n",
-       "                     \n",
-       "                     \n",
-       "  zero_not_in_cband  \n",
-       "0                 *  "
-      ]
-     },
-     "execution_count": 11,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "att_gt.aggregate(\"event\", overall=True)"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "id": "02a75d4c",
-   "metadata": {},
-   "source": [
-    "### Heterogeneity & Triple Difference"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 12,
-   "id": "61b59315",
-   "metadata": {},
-   "outputs": [],
-   "source": [
-    "panel_data = simulate_data(samples=3)"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 13,
-   "id": "65a8eb25",
-   "metadata": {},
-   "outputs": [
-    {
-     "name": "stderr",
-     "output_type": "stream",
-     "text": [
-      "Computing ATTgt for samples = 0 [workers=1]100%|████████████████████| 21/21 [00:00<00:00, 119.56it/s]\n",
-      "Computing ATTgt for samples = 1 [workers=1]100%|████████████████████| 21/21 [00:00<00:00, 116.07it/s]\n",
-      "Computing ATTgt for samples = 2 [workers=1]100%|████████████████████| 21/21 [00:00<00:00, 115.64it/s]\n"
-     ]
-    },
-    {
-     "data": {
-      "text/html": [
-       "<div>\n",
-       "<style scoped>\n",
-       "    .dataframe tbody tr th:only-of-type {\n",
-       "        vertical-align: middle;\n",
-       "    }\n",
-       "\n",
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-       "  <thead>\n",
-       "    <tr>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th colspan=\"5\" halign=\"left\">ATTgtResult</th>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th>analytic</th>\n",
-       "      <th colspan=\"3\" halign=\"left\">pointwise conf. band</th>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th>ATT</th>\n",
-       "      <th>std_error</th>\n",
-       "      <th>lower</th>\n",
-       "      <th>upper</th>\n",
-       "      <th>zero_not_in_cband</th>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>sample_name</th>\n",
-       "      <th>cohort</th>\n",
-       "      <th>base_period</th>\n",
-       "      <th>time</th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "    </tr>\n",
-       "  </thead>\n",
-       "  <tbody>\n",
-       "    <tr>\n",
-       "      <th rowspan=\"3\" valign=\"top\">samples = 0</th>\n",
-       "      <th rowspan=\"3\" valign=\"top\">1902</th>\n",
-       "      <th>1900</th>\n",
-       "      <th>1901</th>\n",
-       "      <td>-0.413163</td>\n",
-       "      <td>2.285396</td>\n",
-       "      <td>-4.892458</td>\n",
-       "      <td>4.066131</td>\n",
-       "      <td></td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th rowspan=\"2\" valign=\"top\">1901</th>\n",
-       "      <th>1902</th>\n",
-       "      <td>0.016927</td>\n",
-       "      <td>2.219508</td>\n",
-       "      <td>-4.333228</td>\n",
-       "      <td>4.367082</td>\n",
-       "      <td></td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>1903</th>\n",
-       "      <td>8.410651</td>\n",
-       "      <td>2.174143</td>\n",
-       "      <td>4.149408</td>\n",
-       "      <td>12.671893</td>\n",
-       "      <td>*</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>...</th>\n",
-       "      <th>...</th>\n",
-       "      <th>...</th>\n",
-       "      <th>...</th>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th rowspan=\"3\" valign=\"top\">samples = 2</th>\n",
-       "      <th rowspan=\"3\" valign=\"top\">1905</th>\n",
-       "      <th rowspan=\"3\" valign=\"top\">1904</th>\n",
-       "      <th>1905</th>\n",
-       "      <td>-2.266016</td>\n",
-       "      <td>2.272358</td>\n",
-       "      <td>-6.719756</td>\n",
-       "      <td>2.187723</td>\n",
-       "      <td></td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>1906</th>\n",
-       "      <td>4.853377</td>\n",
-       "      <td>2.291364</td>\n",
-       "      <td>0.362385</td>\n",
-       "      <td>9.344369</td>\n",
-       "      <td>*</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>1907</th>\n",
-       "      <td>12.146894</td>\n",
-       "      <td>2.203472</td>\n",
-       "      <td>7.828168</td>\n",
-       "      <td>16.465620</td>\n",
-       "      <td>*</td>\n",
-       "    </tr>\n",
-       "  </tbody>\n",
-       "</table>\n",
-       "<p>63 rows × 5 columns</p>\n",
-       "</div>"
-      ],
-      "text/plain": [
-       "                                    ATTgtResult            \\\n",
-       "                                                 analytic   \n",
-       "                                            ATT std_error   \n",
-       "sample_name cohort base_period time                         \n",
-       "samples = 0 1902   1900        1901   -0.413163  2.285396   \n",
-       "                   1901        1902    0.016927  2.219508   \n",
-       "                               1903    8.410651  2.174143   \n",
-       "...                                         ...       ...   \n",
-       "samples = 2 1905   1904        1905   -2.266016  2.272358   \n",
-       "                               1906    4.853377  2.291364   \n",
-       "                               1907   12.146894  2.203472   \n",
-       "\n",
-       "                                                                     \\\n",
-       "                                    pointwise conf. band              \n",
-       "                                                   lower      upper   \n",
-       "sample_name cohort base_period time                                   \n",
-       "samples = 0 1902   1900        1901            -4.892458   4.066131   \n",
-       "                   1901        1902            -4.333228   4.367082   \n",
-       "                               1903             4.149408  12.671893   \n",
-       "...                                                  ...        ...   \n",
-       "samples = 2 1905   1904        1905            -6.719756   2.187723   \n",
-       "                               1906             0.362385   9.344369   \n",
-       "                               1907             7.828168  16.465620   \n",
-       "\n",
-       "                                                       \n",
-       "                                                       \n",
-       "                                    zero_not_in_cband  \n",
-       "sample_name cohort base_period time                    \n",
-       "samples = 0 1902   1900        1901                    \n",
-       "                   1901        1902                    \n",
-       "                               1903                 *  \n",
-       "...                                               ...  \n",
-       "samples = 2 1905   1904        1905                    \n",
-       "                               1906                 *  \n",
-       "                               1907                 *  \n",
-       "\n",
-       "[63 rows x 5 columns]"
-      ]
-     },
-     "execution_count": 13,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "att_gt = ATTgt(data=panel_data, cohort_name=\"cohort\")\n",
-    "\n",
-    "# heterogeneity\n",
-    "\n",
-    "att_gt.fit(formula=\"y\", split_sample_by=\"samples\")"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 14,
-   "id": "6bca34b2",
-   "metadata": {},
-   "outputs": [
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2\", \"relative_period\": 3, \"ATT\": 18.726390856498107, \"std_error\": 1.810447158512192, \"lower\": 15.177979629901332, \"upper\": 22.27480208309488, \"zero_not_in_cband\": \"*\"}, {\"sample_name\": \"samples = 2\", \"relative_period\": 4, \"ATT\": 39.034715277791314, \"std_error\": 2.2636492260813075, \"lower\": 34.598044321039986, \"upper\": 43.47138623454264, \"zero_not_in_cband\": \"*\"}, {\"sample_name\": \"samples = 2\", \"relative_period\": 5, \"ATT\": 51.1242848349058, \"std_error\": 2.1175909610899084, \"lower\": 46.97388281718202, \"upper\": 55.27468685262958, \"zero_not_in_cband\": \"*\"}], \"data-9c00aa9dc2b1c1a0b4bf9b34ead12925\": [{\"x\": 0}], \"data-06fd9f850666401b4599de5588b60692\": [{\"y\": 0}], \"data-34f35b367feb6266f4ff8553a071f3af\": [{\"name\": \"Anticipation\", \"info\": \"0\"}, {\"name\": \"Base period type\", \"info\": \"varying\"}, {\"name\": \"Is panel\", \"info\": \"True\"}, {\"name\": \"Is balanced panel\", \"info\": \"True\"}, {\"name\": \"As repeated cross section\", \"info\": \"False\"}, {\"name\": \"Control group\", \"info\": \"never_treated\"}, {\"name\": \"Formula\", \"info\": \"y ~ 1\"}, {\"name\": \"Cluster by entity\", \"info\": \"True\"}, {\"name\": \"Base delta\", \"info\": \"{'base': ['Intercept'], 'delta': []}\"}]}}, {\"mode\": \"vega-lite\"});\n",
-       "</script>"
-      ],
-      "text/plain": [
-       "alt.HConcatChart(...)"
-      ]
-     },
-     "execution_count": 14,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "att_gt.aggregate(\"event\")\n",
-    "\n",
-    "att_gt.plot(\"event\", vertical_line=0, horizontal_line=0)"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 15,
-   "id": "92e11306",
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/html": [
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-       "        vertical-align: top;\n",
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-       "\n",
-       "    .dataframe thead tr th {\n",
-       "        text-align: left;\n",
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-       "\n",
-       "    .dataframe thead tr:last-of-type th {\n",
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-       "    }\n",
-       "</style>\n",
-       "<table border=\"1\" class=\"dataframe\">\n",
-       "  <thead>\n",
-       "    <tr>\n",
-       "      <th></th>\n",
-       "      <th colspan=\"5\" halign=\"left\">SimpleAggregation</th>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th>analytic</th>\n",
-       "      <th colspan=\"3\" halign=\"left\">pointwise conf. band</th>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th></th>\n",
-       "      <th>ATT</th>\n",
-       "      <th>std_error</th>\n",
-       "      <th>lower</th>\n",
-       "      <th>upper</th>\n",
-       "      <th>zero_not_in_cband</th>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>sample_name</th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "    </tr>\n",
-       "  </thead>\n",
-       "  <tbody>\n",
-       "    <tr>\n",
-       "      <th>samples = 0</th>\n",
-       "      <td>11.659525</td>\n",
-       "      <td>1.145702</td>\n",
-       "      <td>9.413990</td>\n",
-       "      <td>13.905061</td>\n",
-       "      <td>*</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>samples = 1</th>\n",
-       "      <td>13.036015</td>\n",
-       "      <td>1.231696</td>\n",
-       "      <td>10.621935</td>\n",
-       "      <td>15.450095</td>\n",
-       "      <td>*</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>samples = 2</th>\n",
-       "      <td>14.491206</td>\n",
-       "      <td>1.284529</td>\n",
-       "      <td>11.973576</td>\n",
-       "      <td>17.008836</td>\n",
-       "      <td>*</td>\n",
-       "    </tr>\n",
-       "  </tbody>\n",
-       "</table>\n",
-       "</div>"
-      ],
-      "text/plain": [
-       "            SimpleAggregation                                            \\\n",
-       "                               analytic pointwise conf. band              \n",
-       "                          ATT std_error                lower      upper   \n",
-       "sample_name                                                               \n",
-       "samples = 0         11.659525  1.145702             9.413990  13.905061   \n",
-       "samples = 1         13.036015  1.231696            10.621935  15.450095   \n",
-       "samples = 2         14.491206  1.284529            11.973576  17.008836   \n",
-       "\n",
-       "                               \n",
-       "                               \n",
-       "            zero_not_in_cband  \n",
-       "sample_name                    \n",
-       "samples = 0                 *  \n",
-       "samples = 1                 *  \n",
-       "samples = 2                 *  "
-      ]
-     },
-     "execution_count": 15,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "att_gt.aggregate(\"simple\")"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 16,
-   "id": "4051c33c",
-   "metadata": {},
-   "outputs": [
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-       "      vegaEmbed(outputDiv, spec, embedOpt)\n",
-       "        .catch(err => showError(`Javascript Error: ${err.message}<br>This usually means there's a typo in your chart specification. See the javascript console for the full traceback.`));\n",
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-       "    if(typeof define === \"function\" && define.amd) {\n",
-       "      requirejs.config({paths});\n",
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-       "        .catch(showError)\n",
-       "        .then(() => displayChart(vegaEmbed));\n",
-       "    }\n",
-       "  })({\"config\": {\"view\": {\"continuousWidth\": 400, \"continuousHeight\": 300, \"strokeWidth\": 0}, \"axis\": {}, \"axisX\": {\"grid\": false, \"labelAngle\": 0, \"labelSeparation\": 1, \"titlePadding\": 15}, \"axisY\": {\"domain\": true, \"labelAngle\": 0, \"labelPadding\": 10, \"ticks\": true, \"titleAngle\": 0, \"titlePadding\": 35}, \"header\": {}, \"title\": {\"fontSize\": 16, \"offset\": 15, \"subtitleFontSize\": 13, \"subtitlePadding\": 7}}, \"hconcat\": [{\"concat\": [{\"layer\": [{\"layer\": [{\"data\": {\"name\": \"data-af1007033986cf185f8eddb49e416456\"}, \"mark\": {\"type\": \"point\", \"filled\": true, \"size\": 60}, \"encoding\": {\"color\": {\"value\": \"#DA722E\"}, \"opacity\": {\"value\": 0.9}, \"shape\": {}, \"size\": {}, \"tooltip\": [{\"field\": \"ATT\", \"type\": \"quantitative\"}], \"x\": {\"field\": \"ATT\", \"title\": \"ATT\", \"type\": \"quantitative\"}, \"y\": {\"field\": \"sample_name\", \"sort\": null, \"title\": [\"Sample\", \"Names\"], 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9.413989708666882, \"upper\": 13.905060906879545, \"zero_not_in_cband\": \"*\"}, {\"sample_name\": \"samples = 1\", \"ATT\": 13.036014727238095, \"std_error\": 1.231696166712566, \"lower\": 10.621934600585423, \"upper\": 15.450094853890768, \"zero_not_in_cband\": \"*\"}, {\"sample_name\": \"samples = 2\", \"ATT\": 14.491206000986224, \"std_error\": 1.2845286406659782, \"lower\": 11.973576128170714, \"upper\": 17.008835873801736, \"zero_not_in_cband\": \"*\"}], \"data-9c00aa9dc2b1c1a0b4bf9b34ead12925\": [{\"x\": 0}], \"data-34f35b367feb6266f4ff8553a071f3af\": [{\"name\": \"Anticipation\", \"info\": \"0\"}, {\"name\": \"Base period type\", \"info\": \"varying\"}, {\"name\": \"Is panel\", \"info\": \"True\"}, {\"name\": \"Is balanced panel\", \"info\": \"True\"}, {\"name\": \"As repeated cross section\", \"info\": \"False\"}, {\"name\": \"Control group\", \"info\": \"never_treated\"}, {\"name\": \"Formula\", \"info\": \"y ~ 1\"}, {\"name\": \"Cluster by entity\", \"info\": \"True\"}, {\"name\": \"Base delta\", \"info\": \"{'base': ['Intercept'], 'delta': []}\"}]}}, {\"mode\": \"vega-lite\"});\n",
-       "</script>"
-      ],
-      "text/plain": [
-       "alt.HConcatChart(...)"
-      ]
-     },
-     "execution_count": 16,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "att_gt.plot(\n",
-    "    \"simple\",\n",
-    "    y_title=[\"Sample\", \"Names\"],\n",
-    "    vertical_line=0,\n",
-    "    configure_axisY={\"domain\": True, \"ticks\": True},\n",
-    ")"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "id": "cfe8c034",
-   "metadata": {},
-   "source": [
-    "## Triple Difference"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 17,
-   "id": "7c407f69",
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "['samples = 0', 'samples = 1', 'samples = 2']"
-      ]
-     },
-     "execution_count": 17,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "att_gt.sample_names"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 18,
-   "id": "1b6f8be6",
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/html": [
-       "<div>\n",
-       "<style scoped>\n",
-       "    .dataframe tbody tr th:only-of-type {\n",
-       "        vertical-align: middle;\n",
-       "    }\n",
-       "\n",
-       "    .dataframe tbody tr th {\n",
-       "        vertical-align: top;\n",
-       "    }\n",
-       "\n",
-       "    .dataframe thead tr th {\n",
-       "        text-align: left;\n",
-       "    }\n",
-       "\n",
-       "    .dataframe thead tr:last-of-type th {\n",
-       "        text-align: right;\n",
-       "    }\n",
-       "</style>\n",
-       "<table border=\"1\" class=\"dataframe\">\n",
-       "  <thead>\n",
-       "    <tr>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th colspan=\"5\" halign=\"left\">DifferenceTimeAggregation</th>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th>analytic</th>\n",
-       "      <th colspan=\"3\" halign=\"left\">pointwise conf. band</th>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th>ATT</th>\n",
-       "      <th>std_error</th>\n",
-       "      <th>lower</th>\n",
-       "      <th>upper</th>\n",
-       "      <th>zero_not_in_cband</th>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>difference_between</th>\n",
-       "      <th>time</th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "    </tr>\n",
-       "  </thead>\n",
-       "  <tbody>\n",
-       "    <tr>\n",
-       "      <th rowspan=\"6\" valign=\"top\">samples = 1 - samples = 2</th>\n",
-       "      <th>1902</th>\n",
-       "      <td>0.478123</td>\n",
-       "      <td>1.541316</td>\n",
-       "      <td>-2.542801</td>\n",
-       "      <td>3.499047</td>\n",
-       "      <td></td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>1903</th>\n",
-       "      <td>5.549908</td>\n",
-       "      <td>1.474024</td>\n",
-       "      <td>2.660874</td>\n",
-       "      <td>8.438943</td>\n",
-       "      <td>*</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>1904</th>\n",
-       "      <td>-5.869359</td>\n",
-       "      <td>1.375390</td>\n",
-       "      <td>-8.565075</td>\n",
-       "      <td>-3.173643</td>\n",
-       "      <td>*</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>1905</th>\n",
-       "      <td>1.940128</td>\n",
-       "      <td>1.286668</td>\n",
-       "      <td>-0.581695</td>\n",
-       "      <td>4.461951</td>\n",
-       "      <td></td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>1906</th>\n",
-       "      <td>-1.888593</td>\n",
-       "      <td>1.396793</td>\n",
-       "      <td>-4.626258</td>\n",
-       "      <td>0.849071</td>\n",
-       "      <td></td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>1907</th>\n",
-       "      <td>-5.348880</td>\n",
-       "      <td>1.394556</td>\n",
-       "      <td>-8.082160</td>\n",
-       "      <td>-2.615600</td>\n",
-       "      <td>*</td>\n",
-       "    </tr>\n",
-       "  </tbody>\n",
-       "</table>\n",
-       "</div>"
-      ],
-      "text/plain": [
-       "                               DifferenceTimeAggregation            \\\n",
-       "                                                          analytic   \n",
-       "                                                     ATT std_error   \n",
-       "difference_between        time                                       \n",
-       "samples = 1 - samples = 2 1902                  0.478123  1.541316   \n",
-       "                          1903                  5.549908  1.474024   \n",
-       "                          1904                 -5.869359  1.375390   \n",
-       "                          1905                  1.940128  1.286668   \n",
-       "                          1906                 -1.888593  1.396793   \n",
-       "                          1907                 -5.348880  1.394556   \n",
-       "\n",
-       "                                                               \\\n",
-       "                               pointwise conf. band             \n",
-       "                                              lower     upper   \n",
-       "difference_between        time                                  \n",
-       "samples = 1 - samples = 2 1902            -2.542801  3.499047   \n",
-       "                          1903             2.660874  8.438943   \n",
-       "                          1904            -8.565075 -3.173643   \n",
-       "                          1905            -0.581695  4.461951   \n",
-       "                          1906            -4.626258  0.849071   \n",
-       "                          1907            -8.082160 -2.615600   \n",
-       "\n",
-       "                                                  \n",
-       "                                                  \n",
-       "                               zero_not_in_cband  \n",
-       "difference_between        time                    \n",
-       "samples = 1 - samples = 2 1902                    \n",
-       "                          1903                 *  \n",
-       "                          1904                 *  \n",
-       "                          1905                    \n",
-       "                          1906                    \n",
-       "                          1907                 *  "
-      ]
-     },
-     "execution_count": 18,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "att_gt.aggregate(\"time\", difference=[\"samples = 1\", \"samples = 2\"])"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 19,
-   "id": "9951ecb1",
-   "metadata": {},
-   "outputs": [
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samples = 2\", \"time\": 1907, \"ATT\": -5.348879952119635, \"std_error\": 1.3945562743586202, \"lower\": -8.082160024276888, \"upper\": -2.6155998799623807, \"zero_not_in_cband\": \"*\"}], \"data-34f35b367feb6266f4ff8553a071f3af\": [{\"name\": \"Anticipation\", \"info\": \"0\"}, {\"name\": \"Base period type\", \"info\": \"varying\"}, {\"name\": \"Is panel\", \"info\": \"True\"}, {\"name\": \"Is balanced panel\", \"info\": \"True\"}, {\"name\": \"As repeated cross section\", \"info\": \"False\"}, {\"name\": \"Control group\", \"info\": \"never_treated\"}, {\"name\": \"Formula\", \"info\": \"y ~ 1\"}, {\"name\": \"Cluster by entity\", \"info\": \"True\"}, {\"name\": \"Base delta\", \"info\": \"{'base': ['Intercept'], 'delta': []}\"}]}}, {\"mode\": \"vega-lite\"});\n",
-       "</script>"
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-      "text/plain": [
-       "alt.HConcatChart(...)"
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-     },
-     "execution_count": 19,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "att_gt.plot(\"time\", difference=True)"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "id": "446d7705",
-   "metadata": {},
-   "source": [
-    "## Multi-valued Treatment"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "id": "aecee69d",
-   "metadata": {},
-   "source": [
-    "An entity can be treated with different intensities or not treated, the groups are identified by the date of the treatement (cohort) & the intensity which represents a second dimension."
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 20,
-   "id": "8832441a",
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/html": [
-       "<div>\n",
-       "<style scoped>\n",
-       "    .dataframe tbody tr th:only-of-type {\n",
-       "        vertical-align: middle;\n",
-       "    }\n",
-       "\n",
-       "    .dataframe tbody tr th {\n",
-       "        vertical-align: top;\n",
-       "    }\n",
-       "\n",
-       "    .dataframe thead th {\n",
-       "        text-align: right;\n",
-       "    }\n",
-       "</style>\n",
-       "<table border=\"1\" class=\"dataframe\">\n",
-       "  <thead>\n",
-       "    <tr style=\"text-align: right;\">\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th>y</th>\n",
-       "      <th>x0</th>\n",
-       "      <th>w</th>\n",
-       "      <th>cat.0</th>\n",
-       "      <th>cat.1</th>\n",
-       "      <th>effect</th>\n",
-       "      <th>cohort</th>\n",
-       "      <th>strata</th>\n",
-       "      <th>intensity</th>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>entity</th>\n",
-       "      <th>time</th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "    </tr>\n",
-       "  </thead>\n",
-       "  <tbody>\n",
-       "    <tr>\n",
-       "      <th rowspan=\"3\" valign=\"top\">e0</th>\n",
-       "      <th>1900</th>\n",
-       "      <td>14.320181</td>\n",
-       "      <td>0.160245</td>\n",
-       "      <td>3.729827</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0.0</td>\n",
-       "      <td>1904.0</td>\n",
-       "      <td>0.0</td>\n",
-       "      <td>10.0</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>1901</th>\n",
-       "      <td>1.118288</td>\n",
-       "      <td>-1.933404</td>\n",
-       "      <td>1.691201</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0.0</td>\n",
-       "      <td>1904.0</td>\n",
-       "      <td>0.0</td>\n",
-       "      <td>10.0</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>1902</th>\n",
-       "      <td>-0.252880</td>\n",
-       "      <td>-0.056813</td>\n",
-       "      <td>1.786326</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0.0</td>\n",
-       "      <td>1904.0</td>\n",
-       "      <td>0.0</td>\n",
-       "      <td>10.0</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>...</th>\n",
-       "      <th>...</th>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th rowspan=\"3\" valign=\"top\">e999</th>\n",
-       "      <th>1905</th>\n",
-       "      <td>16.700577</td>\n",
-       "      <td>-0.258604</td>\n",
-       "      <td>1.801049</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0.5</td>\n",
-       "      <td>1904.0</td>\n",
-       "      <td>1.0</td>\n",
-       "      <td>0.5</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>1906</th>\n",
-       "      <td>15.151684</td>\n",
-       "      <td>1.504564</td>\n",
-       "      <td>0.616657</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>1.0</td>\n",
-       "      <td>1904.0</td>\n",
-       "      <td>1.0</td>\n",
-       "      <td>0.5</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>1907</th>\n",
-       "      <td>0.163186</td>\n",
-       "      <td>0.472740</td>\n",
-       "      <td>0.674045</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>1.5</td>\n",
-       "      <td>1904.0</td>\n",
-       "      <td>1.0</td>\n",
-       "      <td>0.5</td>\n",
-       "    </tr>\n",
-       "  </tbody>\n",
-       "</table>\n",
-       "<p>8000 rows × 9 columns</p>\n",
-       "</div>"
-      ],
-      "text/plain": [
-       "                     y        x0         w  cat.0  cat.1  effect  cohort  \\\n",
-       "entity time                                                                \n",
-       "e0     1900  14.320181  0.160245  3.729827      0      0     0.0  1904.0   \n",
-       "       1901   1.118288 -1.933404  1.691201      0      0     0.0  1904.0   \n",
-       "       1902  -0.252880 -0.056813  1.786326      0      0     0.0  1904.0   \n",
-       "...                ...       ...       ...    ...    ...     ...     ...   \n",
-       "e999   1905  16.700577 -0.258604  1.801049      0      0     0.5  1904.0   \n",
-       "       1906  15.151684  1.504564  0.616657      0      0     1.0  1904.0   \n",
-       "       1907   0.163186  0.472740  0.674045      0      0     1.5  1904.0   \n",
-       "\n",
-       "             strata  intensity  \n",
-       "entity time                     \n",
-       "e0     1900     0.0       10.0  \n",
-       "       1901     0.0       10.0  \n",
-       "       1902     0.0       10.0  \n",
-       "...             ...        ...  \n",
-       "e999   1905     1.0        0.5  \n",
-       "       1906     1.0        0.5  \n",
-       "       1907     1.0        0.5  \n",
-       "\n",
-       "[8000 rows x 9 columns]"
-      ]
-     },
-     "execution_count": 20,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "panel_data = simulate_data(intensity_by=2)  # generate data\n",
-    "\n",
-    "panel_data"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 21,
-   "id": "3734b6f5",
-   "metadata": {},
-   "outputs": [],
-   "source": [
-    "att_gt = ATTgt(data=panel_data, cohort_name=\"cohort\", strata_name=\"strata\")"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 22,
-   "id": "41971182",
-   "metadata": {},
-   "outputs": [
-    {
-     "name": "stderr",
-     "output_type": "stream",
-     "text": [
-      "Computing ATTgt [workers=1]   100%|████████████████████| 42/42 [00:00<00:00, 44.39it/s]\n"
-     ]
-    },
-    {
-     "data": {
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-       "<style scoped>\n",
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-       "  <thead>\n",
-       "    <tr>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th colspan=\"5\" halign=\"left\">ATTgtResult</th>\n",
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-       "    <tr>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th>analytic</th>\n",
-       "      <th colspan=\"3\" halign=\"left\">pointwise conf. band</th>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th>ATT</th>\n",
-       "      <th>std_error</th>\n",
-       "      <th>lower</th>\n",
-       "      <th>upper</th>\n",
-       "      <th>zero_not_in_cband</th>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>stratum</th>\n",
-       "      <th>cohort</th>\n",
-       "      <th>base_period</th>\n",
-       "      <th>time</th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "    </tr>\n",
-       "  </thead>\n",
-       "  <tbody>\n",
-       "    <tr>\n",
-       "      <th rowspan=\"3\" valign=\"top\">0</th>\n",
-       "      <th rowspan=\"3\" valign=\"top\">1901</th>\n",
-       "      <th rowspan=\"3\" valign=\"top\">1900</th>\n",
-       "      <th>1901</th>\n",
-       "      <td>-1.166568</td>\n",
-       "      <td>1.488863</td>\n",
-       "      <td>-4.084686</td>\n",
-       "      <td>1.751550</td>\n",
-       "      <td></td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>1902</th>\n",
-       "      <td>9.743155</td>\n",
-       "      <td>1.628144</td>\n",
-       "      <td>6.552052</td>\n",
-       "      <td>12.934258</td>\n",
-       "      <td>*</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>1903</th>\n",
-       "      <td>19.473230</td>\n",
-       "      <td>1.626157</td>\n",
-       "      <td>16.286020</td>\n",
-       "      <td>22.660440</td>\n",
-       "      <td>*</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>...</th>\n",
-       "      <th>...</th>\n",
-       "      <th>...</th>\n",
-       "      <th>...</th>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th rowspan=\"3\" valign=\"top\">1</th>\n",
-       "      <th rowspan=\"3\" valign=\"top\">1905</th>\n",
-       "      <th rowspan=\"3\" valign=\"top\">1904</th>\n",
-       "      <th>1905</th>\n",
-       "      <td>1.454368</td>\n",
-       "      <td>1.619994</td>\n",
-       "      <td>-1.720762</td>\n",
-       "      <td>4.629498</td>\n",
-       "      <td></td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>1906</th>\n",
-       "      <td>0.030797</td>\n",
-       "      <td>1.537388</td>\n",
-       "      <td>-2.982428</td>\n",
-       "      <td>3.044021</td>\n",
-       "      <td></td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>1907</th>\n",
-       "      <td>1.231228</td>\n",
-       "      <td>1.572191</td>\n",
-       "      <td>-1.850210</td>\n",
-       "      <td>4.312665</td>\n",
-       "      <td></td>\n",
-       "    </tr>\n",
-       "  </tbody>\n",
-       "</table>\n",
-       "<p>42 rows × 5 columns</p>\n",
-       "</div>"
-      ],
-      "text/plain": [
-       "                                ATTgtResult                                 \\\n",
-       "                                             analytic pointwise conf. band   \n",
-       "                                        ATT std_error                lower   \n",
-       "stratum cohort base_period time                                              \n",
-       "0       1901   1900        1901   -1.166568  1.488863            -4.084686   \n",
-       "                           1902    9.743155  1.628144             6.552052   \n",
-       "                           1903   19.473230  1.626157            16.286020   \n",
-       "...                                     ...       ...                  ...   \n",
-       "1       1905   1904        1905    1.454368  1.619994            -1.720762   \n",
-       "                           1906    0.030797  1.537388            -2.982428   \n",
-       "                           1907    1.231228  1.572191            -1.850210   \n",
-       "\n",
-       "                                                              \n",
-       "                                                              \n",
-       "                                     upper zero_not_in_cband  \n",
-       "stratum cohort base_period time                               \n",
-       "0       1901   1900        1901   1.751550                    \n",
-       "                           1902  12.934258                 *  \n",
-       "                           1903  22.660440                 *  \n",
-       "...                                    ...               ...  \n",
-       "1       1905   1904        1905   4.629498                    \n",
-       "                           1906   3.044021                    \n",
-       "                           1907   4.312665                    \n",
-       "\n",
-       "[42 rows x 5 columns]"
-      ]
-     },
-     "execution_count": 22,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "att_gt.fit(formula=\"y\", n_jobs=1)"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "id": "920f63a2",
-   "metadata": {},
-   "source": [
-    "### Aggregate"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 23,
-   "id": "789bcae6",
-   "metadata": {},
-   "outputs": [
-    {
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-       "<table border=\"1\" class=\"dataframe\">\n",
-       "  <thead>\n",
-       "    <tr>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th colspan=\"5\" halign=\"left\">EventAggregation</th>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th>analytic</th>\n",
-       "      <th colspan=\"3\" halign=\"left\">pointwise conf. band</th>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th>ATT</th>\n",
-       "      <th>std_error</th>\n",
-       "      <th>lower</th>\n",
-       "      <th>upper</th>\n",
-       "      <th>zero_not_in_cband</th>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>stratum</th>\n",
-       "      <th>relative_period</th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "    </tr>\n",
-       "  </thead>\n",
-       "  <tbody>\n",
-       "    <tr>\n",
-       "      <th rowspan=\"3\" valign=\"top\">0</th>\n",
-       "      <th>-4</th>\n",
-       "      <td>-0.528218</td>\n",
-       "      <td>1.521623</td>\n",
-       "      <td>-3.510545</td>\n",
-       "      <td>2.454109</td>\n",
-       "      <td></td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>-3</th>\n",
-       "      <td>1.539960</td>\n",
-       "      <td>1.009962</td>\n",
-       "      <td>-0.439529</td>\n",
-       "      <td>3.519448</td>\n",
-       "      <td></td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>-2</th>\n",
-       "      <td>-0.138531</td>\n",
-       "      <td>0.989853</td>\n",
-       "      <td>-2.078607</td>\n",
-       "      <td>1.801545</td>\n",
-       "      <td></td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>...</th>\n",
-       "      <th>...</th>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th rowspan=\"3\" valign=\"top\">1</th>\n",
-       "      <th>4</th>\n",
-       "      <td>3.188915</td>\n",
-       "      <td>1.576782</td>\n",
-       "      <td>0.098478</td>\n",
-       "      <td>6.279352</td>\n",
-       "      <td>*</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>5</th>\n",
-       "      <td>2.272094</td>\n",
-       "      <td>1.596461</td>\n",
-       "      <td>-0.856913</td>\n",
-       "      <td>5.401100</td>\n",
-       "      <td></td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>6</th>\n",
-       "      <td>3.896055</td>\n",
-       "      <td>1.626878</td>\n",
-       "      <td>0.707432</td>\n",
-       "      <td>7.084679</td>\n",
-       "      <td>*</td>\n",
-       "    </tr>\n",
-       "  </tbody>\n",
-       "</table>\n",
-       "<p>22 rows × 5 columns</p>\n",
-       "</div>"
-      ],
-      "text/plain": [
-       "                        EventAggregation                                 \\\n",
-       "                                          analytic pointwise conf. band   \n",
-       "                                     ATT std_error                lower   \n",
-       "stratum relative_period                                                   \n",
-       "0       -4                     -0.528218  1.521623            -3.510545   \n",
-       "        -3                      1.539960  1.009962            -0.439529   \n",
-       "        -2                     -0.138531  0.989853            -2.078607   \n",
-       "...                                  ...       ...                  ...   \n",
-       "1        4                      3.188915  1.576782             0.098478   \n",
-       "         5                      2.272094  1.596461            -0.856913   \n",
-       "         6                      3.896055  1.626878             0.707432   \n",
-       "\n",
-       "                                                     \n",
-       "                                                     \n",
-       "                            upper zero_not_in_cband  \n",
-       "stratum relative_period                              \n",
-       "0       -4               2.454109                    \n",
-       "        -3               3.519448                    \n",
-       "        -2               1.801545                    \n",
-       "...                           ...               ...  \n",
-       "1        4               6.279352                 *  \n",
-       "         5               5.401100                    \n",
-       "         6               7.084679                 *  \n",
-       "\n",
-       "[22 rows x 5 columns]"
-      ]
-     },
-     "execution_count": 23,
-     "metadata": {},
-     "output_type": "execute_result"
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-   ],
-   "source": [
-    "att_gt.aggregate(\"event\")"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 24,
-   "id": "99bde70f",
-   "metadata": {},
-   "outputs": [
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-       "alt.HConcatChart(...)"
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-    "att_gt.plot(\"event\")"
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-   "execution_count": 25,
-   "id": "5e7946e2",
-   "metadata": {},
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-     "name": "stderr",
-     "output_type": "stream",
-     "text": [
-      "Bootstrap                     100%|████████████████████| [00:00<00:00, 10926.23it/s]\n"
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-       "  <thead>\n",
-       "    <tr>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th colspan=\"5\" halign=\"left\">DifferenceEventAggregation</th>\n",
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-       "    <tr>\n",
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-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th>bootstrap</th>\n",
-       "      <th colspan=\"3\" halign=\"left\">simult. conf. band</th>\n",
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-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th>ATT</th>\n",
-       "      <th>std_error</th>\n",
-       "      <th>lower</th>\n",
-       "      <th>upper</th>\n",
-       "      <th>zero_not_in_cband</th>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>difference_between</th>\n",
-       "      <th>relative_period</th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
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-       "  <tbody>\n",
-       "    <tr>\n",
-       "      <th rowspan=\"7\" valign=\"top\">0 - 1</th>\n",
-       "      <th>-4</th>\n",
-       "      <td>-1.121424</td>\n",
-       "      <td>1.702570</td>\n",
-       "      <td>-5.902428</td>\n",
-       "      <td>3.659580</td>\n",
-       "      <td></td>\n",
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-       "    <tr>\n",
-       "      <th>-3</th>\n",
-       "      <td>1.860588</td>\n",
-       "      <td>1.272509</td>\n",
-       "      <td>-1.712757</td>\n",
-       "      <td>5.433934</td>\n",
-       "      <td></td>\n",
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-       "    <tr>\n",
-       "      <th>-2</th>\n",
-       "      <td>-0.597033</td>\n",
-       "      <td>1.240433</td>\n",
-       "      <td>-4.080306</td>\n",
-       "      <td>2.886239</td>\n",
-       "      <td></td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>...</th>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>4</th>\n",
-       "      <td>37.084082</td>\n",
-       "      <td>1.716253</td>\n",
-       "      <td>32.264655</td>\n",
-       "      <td>41.903510</td>\n",
-       "      <td>*</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>5</th>\n",
-       "      <td>47.373146</td>\n",
-       "      <td>1.620863</td>\n",
-       "      <td>42.821584</td>\n",
-       "      <td>51.924708</td>\n",
-       "      <td>*</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>6</th>\n",
-       "      <td>55.768956</td>\n",
-       "      <td>1.691237</td>\n",
-       "      <td>51.019777</td>\n",
-       "      <td>60.518135</td>\n",
-       "      <td>*</td>\n",
-       "    </tr>\n",
-       "  </tbody>\n",
-       "</table>\n",
-       "<p>11 rows × 5 columns</p>\n",
-       "</div>"
-      ],
-      "text/plain": [
-       "                                   DifferenceEventAggregation            \\\n",
-       "                                                              bootstrap   \n",
-       "                                                          ATT std_error   \n",
-       "difference_between relative_period                                        \n",
-       "0 - 1              -4                               -1.121424  1.702570   \n",
-       "                   -3                                1.860588  1.272509   \n",
-       "                   -2                               -0.597033  1.240433   \n",
-       "...                                                       ...       ...   \n",
-       "                    4                               37.084082  1.716253   \n",
-       "                    5                               47.373146  1.620863   \n",
-       "                    6                               55.768956  1.691237   \n",
-       "\n",
-       "                                                                  \\\n",
-       "                                   simult. conf. band              \n",
-       "                                                lower      upper   \n",
-       "difference_between relative_period                                 \n",
-       "0 - 1              -4                       -5.902428   3.659580   \n",
-       "                   -3                       -1.712757   5.433934   \n",
-       "                   -2                       -4.080306   2.886239   \n",
-       "...                                               ...        ...   \n",
-       "                    4                       32.264655  41.903510   \n",
-       "                    5                       42.821584  51.924708   \n",
-       "                    6                       51.019777  60.518135   \n",
-       "\n",
-       "                                                      \n",
-       "                                                      \n",
-       "                                   zero_not_in_cband  \n",
-       "difference_between relative_period                    \n",
-       "0 - 1              -4                                 \n",
-       "                   -3                                 \n",
-       "                   -2                                 \n",
-       "...                                              ...  \n",
-       "                    4                              *  \n",
-       "                    5                              *  \n",
-       "                    6                              *  \n",
-       "\n",
-       "[11 rows x 5 columns]"
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-     "execution_count": 25,
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-       "      maybeLoadScript(\"vega\", \"5\")\n",
-       "        .then(() => maybeLoadScript(\"vega-lite\", \"4.17.0\"))\n",
-       "        .then(() => maybeLoadScript(\"vega-embed\", \"6\"))\n",
-       "        .catch(showError)\n",
-       "        .then(() => displayChart(vegaEmbed));\n",
-       "    }\n",
-       "  })({\"config\": {\"view\": {\"continuousWidth\": 400, \"continuousHeight\": 300, \"strokeWidth\": 0}, \"axis\": {}, \"axisX\": {\"grid\": false, \"labelAngle\": 0, \"labelSeparation\": 1, \"titlePadding\": 15}, \"axisY\": {\"domain\": false, \"labelAngle\": 0, \"labelPadding\": 10, \"ticks\": false, \"titleAngle\": 0, \"titlePadding\": 35}, \"header\": {}, \"title\": {\"fontSize\": 16, \"offset\": 15, \"subtitleFontSize\": 13, \"subtitlePadding\": 7}}, \"hconcat\": [{\"concat\": [{\"layer\": [{\"mark\": {\"type\": \"point\", \"filled\": true, \"size\": 60}, \"encoding\": {\"color\": {\"value\": \"#DA722E\"}, \"opacity\": {\"value\": 0.9}, \"shape\": {}, \"size\": {}, \"tooltip\": [{\"field\": \"ATT\", \"type\": \"quantitative\"}], \"x\": {\"field\": \"ATT\", \"title\": \"ATT\", \"type\": \"quantitative\"}, \"y\": {\"field\": \"stratum\", \"sort\": null, \"title\": \"stratum\", \"type\": \"nominal\"}}, \"height\": 300, \"selection\": {\"selector014\": {\"type\": \"interval\", \"bind\": \"scales\", \"encodings\": [\"x\", \"y\"]}}, \"title\": {\"text\": \"Simple Aggregation\", \"subtitle\": \"\"}, \"width\": 450}, {\"mark\": \"rule\", \"encoding\": {\"color\": {\"value\": \"#DA722E\"}, \"opacity\": {\"value\": 0.9}, \"x\": {\"field\": \"lower\", \"type\": \"quantitative\"}, \"x2\": {\"field\": \"upper\"}, \"y\": {\"field\": \"stratum\", \"sort\": null, \"title\": \"stratum\", \"type\": \"nominal\"}}, \"height\": 300, \"title\": {\"text\": \"Simple Aggregation\", \"subtitle\": \"\"}, \"width\": 450}, {\"mark\": {\"type\": \"tick\", \"orient\": \"vertical\"}, \"encoding\": {\"color\": {\"value\": \"#DA722E\"}, \"opacity\": {\"value\": 0.9}, \"x\": {\"field\": \"lower\", \"type\": \"quantitative\"}, \"y\": {\"field\": \"stratum\", \"sort\": null, \"title\": \"stratum\", \"type\": \"nominal\"}}, \"height\": 300, \"title\": {\"text\": \"Simple Aggregation\", \"subtitle\": \"\"}, \"width\": 450}, {\"mark\": {\"type\": \"tick\", \"orient\": \"vertical\"}, \"encoding\": {\"color\": {\"value\": \"#DA722E\"}, \"opacity\": {\"value\": 0.9}, \"x\": {\"field\": \"upper\", \"type\": \"quantitative\"}, \"y\": {\"field\": \"stratum\", \"sort\": null, \"title\": \"stratum\", \"type\": \"nominal\"}}, \"height\": 300, \"title\": {\"text\": \"Simple Aggregation\", \"subtitle\": \"\"}, \"width\": 450}], \"resolve\": {\"scale\": {\"color\": \"independent\", \"shape\": \"independent\", \"strokeDash\": \"independent\"}}}], \"data\": {\"name\": \"data-4bac69ac7b82f11327c107b9ac8e9698\"}}, {\"hconcat\": [{\"mark\": {\"type\": \"text\", \"align\": \"left\", \"fontWeight\": \"bold\"}, \"encoding\": {\"text\": {\"field\": \"name\", \"type\": \"nominal\"}, \"y\": {\"axis\": null, \"field\": \"row_number\", \"type\": \"ordinal\"}}, \"transform\": [{\"window\": [{\"op\": \"row_number\", \"field\": \"\", \"as\": \"row_number\"}]}]}, {\"mark\": {\"type\": \"text\", \"align\": \"left\"}, \"encoding\": {\"text\": {\"field\": \"info\", \"type\": \"nominal\"}, \"y\": {\"axis\": null, \"field\": \"row_number\", \"type\": \"ordinal\"}}, \"transform\": [{\"window\": [{\"op\": \"row_number\", \"field\": \"\", \"as\": \"row_number\"}]}]}], \"data\": {\"name\": \"data-34f35b367feb6266f4ff8553a071f3af\"}}], \"spacing\": 50, \"$schema\": \"https://vega.github.io/schema/vega-lite/v4.17.0.json\", \"datasets\": {\"data-4bac69ac7b82f11327c107b9ac8e9698\": [{\"stratum\": \"0\", \"ATT\": 21.0705460663443, \"std_error\": 0.8417303613672277, \"lower\": 19.42078487337065, \"upper\": 22.72030725931795, \"zero_not_in_cband\": \"*\"}, {\"stratum\": \"1\", \"ATT\": 1.3850318970479738, \"std_error\": 0.7220939198383779, \"lower\": -0.030246179290599695, \"upper\": 2.8003099733865473, \"zero_not_in_cband\": \"\"}], \"data-34f35b367feb6266f4ff8553a071f3af\": [{\"name\": \"Anticipation\", \"info\": \"0\"}, {\"name\": \"Base period type\", \"info\": \"varying\"}, {\"name\": \"Is panel\", \"info\": \"True\"}, {\"name\": \"Is balanced panel\", \"info\": \"True\"}, {\"name\": \"As repeated cross section\", \"info\": \"False\"}, {\"name\": \"Control group\", \"info\": \"never_treated\"}, {\"name\": \"Formula\", \"info\": \"y ~ 1\"}, {\"name\": \"Cluster by entity\", \"info\": \"True\"}, {\"name\": \"Base delta\", \"info\": \"{'base': ['Intercept'], 'delta': []}\"}]}}, {\"mode\": \"vega-lite\"});\n",
-       "</script>"
-      ],
-      "text/plain": [
-       "alt.HConcatChart(...)"
-      ]
-     },
-     "execution_count": 27,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "att_gt.aggregate(\"simple\")\n",
-    "att_gt.plot(\"simple\")"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "id": "b68b21ab",
-   "metadata": {},
-   "source": [
-    "### Heterogeneity & Triple Difference"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 28,
-   "id": "17960802",
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/html": [
-       "<div>\n",
-       "<style scoped>\n",
-       "    .dataframe tbody tr th:only-of-type {\n",
-       "        vertical-align: middle;\n",
-       "    }\n",
-       "\n",
-       "    .dataframe tbody tr th {\n",
-       "        vertical-align: top;\n",
-       "    }\n",
-       "\n",
-       "    .dataframe thead th {\n",
-       "        text-align: right;\n",
-       "    }\n",
-       "</style>\n",
-       "<table border=\"1\" class=\"dataframe\">\n",
-       "  <thead>\n",
-       "    <tr style=\"text-align: right;\">\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th>y</th>\n",
-       "      <th>x0</th>\n",
-       "      <th>w</th>\n",
-       "      <th>cat.0</th>\n",
-       "      <th>cat.1</th>\n",
-       "      <th>effect</th>\n",
-       "      <th>cohort</th>\n",
-       "      <th>samples</th>\n",
-       "      <th>strata</th>\n",
-       "      <th>intensity</th>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>entity</th>\n",
-       "      <th>time</th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "    </tr>\n",
-       "  </thead>\n",
-       "  <tbody>\n",
-       "    <tr>\n",
-       "      <th rowspan=\"3\" valign=\"top\">e0</th>\n",
-       "      <th>1900</th>\n",
-       "      <td>2.347452</td>\n",
-       "      <td>0.160245</td>\n",
-       "      <td>3.729827</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0.0</td>\n",
-       "      <td>1906.0</td>\n",
-       "      <td>2</td>\n",
-       "      <td>1.0</td>\n",
-       "      <td>4.3</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>1901</th>\n",
-       "      <td>-2.880331</td>\n",
-       "      <td>-1.933404</td>\n",
-       "      <td>1.691201</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0.0</td>\n",
-       "      <td>1906.0</td>\n",
-       "      <td>2</td>\n",
-       "      <td>1.0</td>\n",
-       "      <td>4.3</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>1902</th>\n",
-       "      <td>-6.399243</td>\n",
-       "      <td>-0.056813</td>\n",
-       "      <td>1.786326</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0.0</td>\n",
-       "      <td>1906.0</td>\n",
-       "      <td>2</td>\n",
-       "      <td>1.0</td>\n",
-       "      <td>4.3</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>...</th>\n",
-       "      <th>...</th>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th rowspan=\"3\" valign=\"top\">e999</th>\n",
-       "      <th>1905</th>\n",
-       "      <td>-8.514995</td>\n",
-       "      <td>-0.258604</td>\n",
-       "      <td>1.801049</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0.0</td>\n",
-       "      <td>1906.0</td>\n",
-       "      <td>2</td>\n",
-       "      <td>1.0</td>\n",
-       "      <td>4.3</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>1906</th>\n",
-       "      <td>3.713039</td>\n",
-       "      <td>1.504564</td>\n",
-       "      <td>0.616657</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0.0</td>\n",
-       "      <td>1906.0</td>\n",
-       "      <td>2</td>\n",
-       "      <td>1.0</td>\n",
-       "      <td>4.3</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>1907</th>\n",
-       "      <td>26.942832</td>\n",
-       "      <td>0.472740</td>\n",
-       "      <td>0.674045</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>4.3</td>\n",
-       "      <td>1906.0</td>\n",
-       "      <td>2</td>\n",
-       "      <td>1.0</td>\n",
-       "      <td>4.3</td>\n",
-       "    </tr>\n",
-       "  </tbody>\n",
-       "</table>\n",
-       "<p>8000 rows × 10 columns</p>\n",
-       "</div>"
-      ],
-      "text/plain": [
-       "                     y        x0         w  cat.0  cat.1  effect  cohort  \\\n",
-       "entity time                                                                \n",
-       "e0     1900   2.347452  0.160245  3.729827      0      0     0.0  1906.0   \n",
-       "       1901  -2.880331 -1.933404  1.691201      0      0     0.0  1906.0   \n",
-       "       1902  -6.399243 -0.056813  1.786326      0      0     0.0  1906.0   \n",
-       "...                ...       ...       ...    ...    ...     ...     ...   \n",
-       "e999   1905  -8.514995 -0.258604  1.801049      0      0     0.0  1906.0   \n",
-       "       1906   3.713039  1.504564  0.616657      0      0     0.0  1906.0   \n",
-       "       1907  26.942832  0.472740  0.674045      0      0     4.3  1906.0   \n",
-       "\n",
-       "             samples  strata  intensity  \n",
-       "entity time                              \n",
-       "e0     1900        2     1.0        4.3  \n",
-       "       1901        2     1.0        4.3  \n",
-       "       1902        2     1.0        4.3  \n",
-       "...              ...     ...        ...  \n",
-       "e999   1905        2     1.0        4.3  \n",
-       "       1906        2     1.0        4.3  \n",
-       "       1907        2     1.0        4.3  \n",
-       "\n",
-       "[8000 rows x 10 columns]"
-      ]
-     },
-     "execution_count": 28,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "panel_data = simulate_data(intensity_by=2, samples=3)  # generate data\n",
-    "\n",
-    "panel_data"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 29,
-   "id": "811601d0",
-   "metadata": {},
-   "outputs": [],
-   "source": [
-    "att_gt = ATTgt(data=panel_data, cohort_name=\"cohort\", strata_name=\"strata\")"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 30,
-   "id": "59d747a0",
-   "metadata": {},
-   "outputs": [
-    {
-     "name": "stderr",
-     "output_type": "stream",
-     "text": [
-      "Computing ATTgt for samples = 2 [workers=1]100%|████████████████████| 42/42 [00:00<00:00, 92.14it/s]\n",
-      "Computing ATTgt for samples = 0 [workers=1]100%|████████████████████| 42/42 [00:00<00:00, 95.82it/s]\n",
-      "Computing ATTgt for samples = 1 [workers=1]100%|████████████████████| 42/42 [00:00<00:00, 95.95it/s]\n"
-     ]
-    },
-    {
-     "data": {
-      "text/html": [
-       "<div>\n",
-       "<style scoped>\n",
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-       "\n",
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-       "    }\n",
-       "\n",
-       "    .dataframe thead tr th {\n",
-       "        text-align: left;\n",
-       "    }\n",
-       "\n",
-       "    .dataframe thead tr:last-of-type th {\n",
-       "        text-align: right;\n",
-       "    }\n",
-       "</style>\n",
-       "<table border=\"1\" class=\"dataframe\">\n",
-       "  <thead>\n",
-       "    <tr>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th colspan=\"5\" halign=\"left\">ATTgtResult</th>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th>analytic</th>\n",
-       "      <th colspan=\"3\" halign=\"left\">pointwise conf. band</th>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th>ATT</th>\n",
-       "      <th>std_error</th>\n",
-       "      <th>lower</th>\n",
-       "      <th>upper</th>\n",
-       "      <th>zero_not_in_cband</th>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>sample_name</th>\n",
-       "      <th>stratum</th>\n",
-       "      <th>cohort</th>\n",
-       "      <th>base_period</th>\n",
-       "      <th>time</th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "    </tr>\n",
-       "  </thead>\n",
-       "  <tbody>\n",
-       "    <tr>\n",
-       "      <th rowspan=\"3\" valign=\"top\">samples = 2</th>\n",
-       "      <th rowspan=\"3\" valign=\"top\">0</th>\n",
-       "      <th rowspan=\"3\" valign=\"top\">1901</th>\n",
-       "      <th rowspan=\"3\" valign=\"top\">1900</th>\n",
-       "      <th>1901</th>\n",
-       "      <td>-2.313173</td>\n",
-       "      <td>2.816396</td>\n",
-       "      <td>-7.833208</td>\n",
-       "      <td>3.206863</td>\n",
-       "      <td></td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>1902</th>\n",
-       "      <td>3.324637</td>\n",
-       "      <td>2.912590</td>\n",
-       "      <td>-2.383933</td>\n",
-       "      <td>9.033208</td>\n",
-       "      <td></td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>1903</th>\n",
-       "      <td>11.378922</td>\n",
-       "      <td>2.777983</td>\n",
-       "      <td>5.934176</td>\n",
-       "      <td>16.823669</td>\n",
-       "      <td>*</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>...</th>\n",
-       "      <th>...</th>\n",
-       "      <th>...</th>\n",
-       "      <th>...</th>\n",
-       "      <th>...</th>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th rowspan=\"3\" valign=\"top\">samples = 1</th>\n",
-       "      <th rowspan=\"3\" valign=\"top\">1</th>\n",
-       "      <th rowspan=\"3\" valign=\"top\">1906</th>\n",
-       "      <th>1904</th>\n",
-       "      <th>1905</th>\n",
-       "      <td>2.983248</td>\n",
-       "      <td>2.933005</td>\n",
-       "      <td>-2.765336</td>\n",
-       "      <td>8.731831</td>\n",
-       "      <td></td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th rowspan=\"2\" valign=\"top\">1905</th>\n",
-       "      <th>1906</th>\n",
-       "      <td>-0.334297</td>\n",
-       "      <td>2.554715</td>\n",
-       "      <td>-5.341447</td>\n",
-       "      <td>4.672852</td>\n",
-       "      <td></td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>1907</th>\n",
-       "      <td>0.343971</td>\n",
-       "      <td>3.023992</td>\n",
-       "      <td>-5.582944</td>\n",
-       "      <td>6.270887</td>\n",
-       "      <td></td>\n",
-       "    </tr>\n",
-       "  </tbody>\n",
-       "</table>\n",
-       "<p>126 rows × 5 columns</p>\n",
-       "</div>"
-      ],
-      "text/plain": [
-       "                                            ATTgtResult            \\\n",
-       "                                                         analytic   \n",
-       "                                                    ATT std_error   \n",
-       "sample_name stratum cohort base_period time                         \n",
-       "samples = 2 0       1901   1900        1901   -2.313173  2.816396   \n",
-       "                                       1902    3.324637  2.912590   \n",
-       "                                       1903   11.378922  2.777983   \n",
-       "...                                                 ...       ...   \n",
-       "samples = 1 1       1906   1904        1905    2.983248  2.933005   \n",
-       "                           1905        1906   -0.334297  2.554715   \n",
-       "                                       1907    0.343971  3.023992   \n",
-       "\n",
-       "                                                                             \\\n",
-       "                                            pointwise conf. band              \n",
-       "                                                           lower      upper   \n",
-       "sample_name stratum cohort base_period time                                   \n",
-       "samples = 2 0       1901   1900        1901            -7.833208   3.206863   \n",
-       "                                       1902            -2.383933   9.033208   \n",
-       "                                       1903             5.934176  16.823669   \n",
-       "...                                                          ...        ...   \n",
-       "samples = 1 1       1906   1904        1905            -2.765336   8.731831   \n",
-       "                           1905        1906            -5.341447   4.672852   \n",
-       "                                       1907            -5.582944   6.270887   \n",
-       "\n",
-       "                                                               \n",
-       "                                                               \n",
-       "                                            zero_not_in_cband  \n",
-       "sample_name stratum cohort base_period time                    \n",
-       "samples = 2 0       1901   1900        1901                    \n",
-       "                                       1902                    \n",
-       "                                       1903                 *  \n",
-       "...                                                       ...  \n",
-       "samples = 1 1       1906   1904        1905                    \n",
-       "                           1905        1906                    \n",
-       "                                       1907                    \n",
-       "\n",
-       "[126 rows x 5 columns]"
-      ]
-     },
-     "execution_count": 30,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "att_gt.fit(formula=\"y\", split_sample_by=\"samples\")"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 31,
-   "id": "3a0da5ae",
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/html": [
-       "\n",
-       "<div id=\"altair-viz-4b0faa776b4c49d3993596cb2fbf45b8\"></div>\n",
-       "<script type=\"text/javascript\">\n",
-       "  var VEGA_DEBUG = (typeof VEGA_DEBUG == \"undefined\") ? {} : VEGA_DEBUG;\n",
-       "  (function(spec, embedOpt){\n",
-       "    let outputDiv = document.currentScript.previousElementSibling;\n",
-       "    if (outputDiv.id !== \"altair-viz-4b0faa776b4c49d3993596cb2fbf45b8\") {\n",
-       "      outputDiv = document.getElementById(\"altair-viz-4b0faa776b4c49d3993596cb2fbf45b8\");\n",
-       "    }\n",
-       "    const paths = {\n",
-       "      \"vega\": \"https://cdn.jsdelivr.net/npm//vega@5?noext\",\n",
-       "      \"vega-lib\": \"https://cdn.jsdelivr.net/npm//vega-lib?noext\",\n",
-       "      \"vega-lite\": \"https://cdn.jsdelivr.net/npm//vega-lite@4.17.0?noext\",\n",
-       "      \"vega-embed\": \"https://cdn.jsdelivr.net/npm//vega-embed@6?noext\",\n",
-       "    };\n",
-       "\n",
-       "    function maybeLoadScript(lib, version) {\n",
-       "      var key = `${lib.replace(\"-\", \"\")}_version`;\n",
-       "      return (VEGA_DEBUG[key] == version) ?\n",
-       "        Promise.resolve(paths[lib]) :\n",
-       "        new Promise(function(resolve, reject) {\n",
-       "          var s = document.createElement('script');\n",
-       "          document.getElementsByTagName(\"head\")[0].appendChild(s);\n",
-       "          s.async = true;\n",
-       "          s.onload = () => {\n",
-       "            VEGA_DEBUG[key] = version;\n",
-       "            return resolve(paths[lib]);\n",
-       "          };\n",
-       "          s.onerror = () => reject(`Error loading script: ${paths[lib]}`);\n",
-       "          s.src = paths[lib];\n",
-       "        });\n",
-       "    }\n",
-       "\n",
-       "    function showError(err) {\n",
-       "      outputDiv.innerHTML = `<div class=\"error\" style=\"color:red;\">${err}</div>`;\n",
-       "      throw err;\n",
-       "    }\n",
-       "\n",
-       "    function displayChart(vegaEmbed) {\n",
-       "      vegaEmbed(outputDiv, spec, embedOpt)\n",
-       "        .catch(err => showError(`Javascript Error: ${err.message}<br>This usually means there's a typo in your chart specification. See the javascript console for the full traceback.`));\n",
-       "    }\n",
-       "\n",
-       "    if(typeof define === \"function\" && define.amd) {\n",
-       "      requirejs.config({paths});\n",
-       "      require([\"vega-embed\"], displayChart, err => showError(`Error loading script: ${err.message}`));\n",
-       "    } else {\n",
-       "      maybeLoadScript(\"vega\", \"5\")\n",
-       "        .then(() => maybeLoadScript(\"vega-lite\", \"4.17.0\"))\n",
-       "        .then(() => maybeLoadScript(\"vega-embed\", \"6\"))\n",
-       "        .catch(showError)\n",
-       "        .then(() => displayChart(vegaEmbed));\n",
-       "    }\n",
-       "  })({\"config\": {\"view\": {\"continuousWidth\": 400, \"continuousHeight\": 300, \"strokeWidth\": 0}, \"axis\": {}, \"axisX\": {\"format\": \"c\", \"grid\": false, \"labelAngle\": 0, \"labelSeparation\": 1, \"titlePadding\": 15}, \"axisY\": {\"domain\": false, \"labelAngle\": 0, \"labelPadding\": 10, \"ticks\": false, \"titleAngle\": 0, \"titlePadding\": 35}, \"header\": {\"labelFontSize\": 15, \"titleFontSize\": 18}, \"title\": {\"fontSize\": 16, \"offset\": 15, \"subtitleFontSize\": 13, \"subtitlePadding\": 7}}, \"concat\": [{\"facet\": {\"column\": {\"field\": \"stratum\", \"type\": \"nominal\"}}, \"spec\": {\"layer\": [{\"mark\": {\"type\": \"point\", \"filled\": true, \"size\": 60}, \"encoding\": {\"color\": {\"field\": \"sample_name\", \"legend\": {\"columns\": 1, \"cornerRadius\": 10, \"direction\": \"horizontal\", \"fillColor\": \"#EEEEEE\", \"padding\": 10, \"strokeColor\": \"gray\", \"symbolOpacity\": 0.9, \"symbolSize\": 150, \"title\": \"\"}, \"scale\": 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{\"type\": \"tick\", \"orient\": \"horizontal\"}, \"encoding\": {\"color\": {\"field\": \"sample_name\", \"legend\": null, \"scale\": {\"range\": [\"#DA722E\", \"#0B5345\", \"#DDCC77\", \"#88CCEE\", \"#2275A9\", \"#CC6677\"], \"type\": \"linear\"}, \"type\": \"nominal\"}, \"opacity\": {\"condition\": {\"value\": 0.9, \"selection\": \"selector015\"}, \"value\": 0.01}, \"x\": {\"field\": \"time\", \"scale\": {\"zero\": false}, \"sort\": null, \"title\": \"time\", \"type\": \"quantitative\"}, \"y\": {\"field\": \"upper\", \"type\": \"quantitative\"}}, \"height\": 300, \"title\": {\"text\": \"\", \"subtitle\": \"\"}, \"width\": 450}]}, \"resolve\": {\"scale\": {\"color\": \"independent\", \"shape\": \"independent\", \"strokeDash\": \"independent\", \"y\": \"independent\"}}}], \"data\": {\"name\": \"data-0202449addaf2aaad9bdf9a986999e23\"}, \"$schema\": \"https://vega.github.io/schema/vega-lite/v4.17.0.json\", \"datasets\": {\"data-0202449addaf2aaad9bdf9a986999e23\": [{\"sample_name\": \"samples = 2\", \"stratum\": \"0\", \"time\": 1901, \"ATT\": -2.3131726293695105, \"std_error\": 2.816396246153506, \"lower\": -7.833207838024187, \"upper\": 3.206862579285166, \"zero_not_in_cband\": \"\"}, {\"sample_name\": \"samples = 2\", \"stratum\": \"0\", \"time\": 1902, \"ATT\": 3.3246374885849246, \"std_error\": 2.9125896342384108, \"lower\": -2.38393329626705, \"upper\": 9.033208273436898, \"zero_not_in_cband\": \"\"}, {\"sample_name\": \"samples = 2\", \"stratum\": \"0\", \"time\": 1903, \"ATT\": 5.300845407504936, \"std_error\": 2.148661855720302, \"lower\": 1.0895455553381463, \"upper\": 9.512145259671726, \"zero_not_in_cband\": \"*\"}, {\"sample_name\": \"samples = 2\", \"stratum\": \"0\", \"time\": 1904, \"ATT\": 18.27384893407202, \"std_error\": 2.1847631336219817, \"lower\": 13.991791877422067, \"upper\": 22.555905990721975, \"zero_not_in_cband\": \"*\"}, {\"sample_name\": \"samples = 2\", \"stratum\": \"0\", \"time\": 1905, \"ATT\": 22.07489396519008, \"std_error\": 2.1065456664228543, \"lower\": 17.94614032721236, \"upper\": 26.2036476031678, \"zero_not_in_cband\": \"*\"}, {\"sample_name\": \"samples = 2\", \"stratum\": \"0\", \"time\": 1906, \"ATT\": 24.40663437451451, \"std_error\": 2.12141780354166, \"lower\": 20.24873188341079, \"upper\": 28.56453686561823, \"zero_not_in_cband\": \"*\"}, {\"sample_name\": \"samples = 2\", \"stratum\": \"0\", \"time\": 1907, \"ATT\": 31.296961244782597, \"std_error\": 2.1623770153108763, \"lower\": 27.058780173776064, \"upper\": 35.53514231578913, \"zero_not_in_cband\": \"*\"}, {\"sample_name\": \"samples = 2\", \"stratum\": \"1\", \"time\": 1901, \"ATT\": -1.9464234525186912, \"std_error\": 2.528172967706685, \"lower\": -6.901551415911539, \"upper\": 3.008704510874157, \"zero_not_in_cband\": \"\"}, {\"sample_name\": \"samples = 2\", \"stratum\": \"1\", \"time\": 1902, \"ATT\": 2.635395164392701, \"std_error\": 2.9280199010051584, \"lower\": -3.103418387593944, \"upper\": 8.374208716379346, \"zero_not_in_cband\": \"\"}, {\"sample_name\": \"samples = 2\", \"stratum\": \"1\", \"time\": 1903, \"ATT\": 4.293071941145373, \"std_error\": 2.086694608781783, \"lower\": 0.2032256611991805, \"upper\": 8.382918221091565, \"zero_not_in_cband\": \"*\"}, {\"sample_name\": \"samples = 2\", \"stratum\": \"1\", \"time\": 1904, \"ATT\": 10.141867622454924, \"std_error\": 1.8836573264291419, \"lower\": 6.449967103438798, \"upper\": 13.833768141471051, \"zero_not_in_cband\": \"*\"}, {\"sample_name\": \"samples = 2\", \"stratum\": \"1\", \"time\": 1905, \"ATT\": 10.988952269177965, \"std_error\": 2.0225118033223803, \"lower\": 7.024901976358942, \"upper\": 14.953002561996987, \"zero_not_in_cband\": \"*\"}, {\"sample_name\": \"samples = 2\", \"stratum\": \"1\", \"time\": 1906, \"ATT\": 9.99100519440045, \"std_error\": 1.8210523322888965, \"lower\": 6.421808209151546, \"upper\": 13.560202179649355, \"zero_not_in_cband\": \"*\"}, {\"sample_name\": \"samples = 2\", \"stratum\": \"1\", \"time\": 1907, \"ATT\": 16.463991840361015, \"std_error\": 1.8911014695409982, \"lower\": 12.757501068949889, \"upper\": 20.17048261177214, \"zero_not_in_cband\": \"*\"}, {\"sample_name\": \"samples = 0\", \"stratum\": \"0\", \"time\": 1901, \"ATT\": -3.783893155445943, \"std_error\": 3.1398587860569362, \"lower\": -9.937903292659193, \"upper\": 2.370116981767307, \"zero_not_in_cband\": \"\"}, {\"sample_name\": \"samples = 0\", \"stratum\": \"0\", \"time\": 1902, \"ATT\": 13.331574944276712, \"std_error\": 2.760454126988275, \"lower\": 7.921184274404736, \"upper\": 18.74196561414869, \"zero_not_in_cband\": \"*\"}, {\"sample_name\": \"samples = 0\", \"stratum\": \"0\", \"time\": 1903, \"ATT\": 11.750668548439776, \"std_error\": 2.4190623102229276, \"lower\": 7.0093935440445785, \"upper\": 16.491943552834975, \"zero_not_in_cband\": \"*\"}, {\"sample_name\": \"samples = 0\", \"stratum\": \"0\", \"time\": 1904, \"ATT\": 22.62889703561377, \"std_error\": 2.491350349638049, \"lower\": 17.745940077451927, \"upper\": 27.511853993775617, \"zero_not_in_cband\": \"*\"}, {\"sample_name\": \"samples = 0\", \"stratum\": \"0\", \"time\": 1905, \"ATT\": 32.15140396761912, \"std_error\": 2.580932078703579, \"lower\": 27.092870046816007, \"upper\": 37.20993788842223, \"zero_not_in_cband\": \"*\"}, {\"sample_name\": \"samples = 0\", \"stratum\": \"0\", \"time\": 1906, \"ATT\": 21.718030425611385, \"std_error\": 2.697240577641261, \"lower\": 16.4315360357945, \"upper\": 27.00452481542827, \"zero_not_in_cband\": \"*\"}, {\"sample_name\": \"samples = 0\", \"stratum\": \"0\", \"time\": 1907, \"ATT\": 32.95874500760789, \"std_error\": 2.662868125317187, \"lower\": 27.73961938640651, \"upper\": 38.177870628809266, \"zero_not_in_cband\": \"*\"}, {\"sample_name\": \"samples = 0\", \"stratum\": \"1\", \"time\": 1901, \"ATT\": -2.4144299032111305, \"std_error\": 2.72219313867241, \"lower\": -7.749830413971102, \"upper\": 2.9209706075488415, \"zero_not_in_cband\": \"\"}, {\"sample_name\": \"samples = 0\", \"stratum\": \"1\", \"time\": 1902, \"ATT\": 9.692953183146443, \"std_error\": 3.1351998320149406, \"lower\": 3.548074428061132, \"upper\": 15.837831938231755, \"zero_not_in_cband\": \"*\"}, {\"sample_name\": \"samples = 0\", \"stratum\": \"1\", \"time\": 1903, \"ATT\": 4.923047041484992, \"std_error\": 2.0864836321438416, \"lower\": 0.8336142681507441, \"upper\": 9.01247981481924, \"zero_not_in_cband\": \"*\"}, {\"sample_name\": \"samples = 0\", \"stratum\": \"1\", \"time\": 1904, \"ATT\": 13.422619917737858, \"std_error\": 2.2522197006289555, \"lower\": 9.008350419233523, \"upper\": 17.836889416242194, \"zero_not_in_cband\": \"*\"}, {\"sample_name\": \"samples = 0\", \"stratum\": \"1\", \"time\": 1905, \"ATT\": 19.034847420185336, \"std_error\": 2.2714841692380667, \"lower\": 14.58282025702584, \"upper\": 23.486874583344832, \"zero_not_in_cband\": \"*\"}, {\"sample_name\": \"samples = 0\", \"stratum\": \"1\", \"time\": 1906, \"ATT\": 14.198638399930832, \"std_error\": 2.1391147553042758, \"lower\": 10.006050520736242, \"upper\": 18.391226279125423, \"zero_not_in_cband\": \"*\"}, {\"sample_name\": \"samples = 0\", \"stratum\": \"1\", \"time\": 1907, \"ATT\": 21.192093661222188, \"std_error\": 2.1433195833336205, \"lower\": 16.991264470528897, \"upper\": 25.39292285191548, \"zero_not_in_cband\": \"*\"}, {\"sample_name\": \"samples = 1\", \"stratum\": \"0\", \"time\": 1901, \"ATT\": -2.999799740775671, \"std_error\": 2.970760986073098, \"lower\": -8.82238428015564, \"upper\": 2.822784798604298, \"zero_not_in_cband\": \"\"}, {\"sample_name\": \"samples = 1\", \"stratum\": \"0\", \"time\": 1902, \"ATT\": 1.587531044544562, \"std_error\": 2.6954035693953977, \"lower\": -3.695362875271126, \"upper\": 6.87042496436025, \"zero_not_in_cband\": \"\"}, {\"sample_name\": \"samples = 1\", \"stratum\": \"0\", \"time\": 1903, \"ATT\": 1.7016010816957943, \"std_error\": 2.1217869667323646, \"lower\": -2.4570249559661264, \"upper\": 5.860227119357715, \"zero_not_in_cband\": \"\"}, {\"sample_name\": \"samples = 1\", \"stratum\": \"0\", \"time\": 1904, \"ATT\": 3.1774641473101726, \"std_error\": 2.236728505988388, \"lower\": -1.20644316762115, \"upper\": 7.561371462241495, \"zero_not_in_cband\": \"\"}, {\"sample_name\": \"samples = 1\", \"stratum\": \"0\", \"time\": 1905, \"ATT\": 6.219453564909957, \"std_error\": 2.184728226178755, \"lower\": 1.9374649255915193, \"upper\": 10.501442204228393, \"zero_not_in_cband\": \"*\"}, {\"sample_name\": \"samples = 1\", \"stratum\": \"0\", \"time\": 1906, \"ATT\": 4.244015017412094, \"std_error\": 1.8073000691773629, \"lower\": 0.7017719725677147, \"upper\": 7.786258062256474, \"zero_not_in_cband\": \"*\"}, {\"sample_name\": \"samples = 1\", \"stratum\": \"0\", \"time\": 1907, \"ATT\": 7.25786630050536, \"std_error\": 2.020396178345074, \"lower\": 3.297962556446651, \"upper\": 11.21777004456407, \"zero_not_in_cband\": \"*\"}, {\"sample_name\": \"samples = 1\", \"stratum\": \"1\", \"time\": 1901, \"ATT\": -4.564372477288843, \"std_error\": 2.7387639565057844, \"lower\": -9.932251194196603, \"upper\": 0.8035062396189181, \"zero_not_in_cband\": \"\"}, {\"sample_name\": \"samples = 1\", \"stratum\": \"1\", \"time\": 1902, \"ATT\": -1.134681711163748, \"std_error\": 3.0422162819018594, \"lower\": -7.097316056872745, \"upper\": 4.827952634545249, \"zero_not_in_cband\": \"\"}, {\"sample_name\": \"samples = 1\", \"stratum\": \"1\", \"time\": 1903, \"ATT\": -1.8428399796862398, \"std_error\": 2.3460030401531666, \"lower\": -6.44092144600792, \"upper\": 2.7552414866354407, \"zero_not_in_cband\": \"\"}, {\"sample_name\": \"samples = 1\", \"stratum\": \"1\", \"time\": 1904, \"ATT\": 0.04671536668382459, \"std_error\": 2.558371008794757, \"lower\": -4.967599669645305, \"upper\": 5.061030403012954, \"zero_not_in_cband\": \"\"}, {\"sample_name\": \"samples = 1\", \"stratum\": \"1\", \"time\": 1905, \"ATT\": 0.8985656964439881, \"std_error\": 2.2328165600644874, \"lower\": -3.4776743453670216, \"upper\": 5.274805738254998, \"zero_not_in_cband\": \"\"}, {\"sample_name\": \"samples = 1\", \"stratum\": \"1\", \"time\": 1906, \"ATT\": -0.39885166335832534, \"std_error\": 1.7751228147837685, \"lower\": -3.8780284484698764, \"upper\": 3.080325121753226, \"zero_not_in_cband\": \"\"}, {\"sample_name\": \"samples = 1\", \"stratum\": \"1\", \"time\": 1907, \"ATT\": 1.0347844136789393, \"std_error\": 2.0325792257341795, \"lower\": -2.948997664484361, \"upper\": 5.01856649184224, \"zero_not_in_cband\": \"\"}]}}, {\"mode\": \"vega-lite\"});\n",
-       "</script>"
-      ],
-      "text/plain": [
-       "alt.ConcatChart(...)"
-      ]
-     },
-     "execution_count": 31,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "att_gt.aggregate(\"time\")\n",
-    "\n",
-    "att_gt.plot(\n",
-    "    \"time\",\n",
-    "    configure_header={\"titleFontSize\": 18, \"labelFontSize\": 15},\n",
-    "    estimation_details=False,\n",
-    "    configure_axisX={\"format\": \"c\"},\n",
-    ")"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 32,
-   "id": "c9c7c0a6",
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/html": [
-       "<div>\n",
-       "<style scoped>\n",
-       "    .dataframe tbody tr th:only-of-type {\n",
-       "        vertical-align: middle;\n",
-       "    }\n",
-       "\n",
-       "    .dataframe tbody tr th {\n",
-       "        vertical-align: top;\n",
-       "    }\n",
-       "\n",
-       "    .dataframe thead tr th {\n",
-       "        text-align: left;\n",
-       "    }\n",
-       "\n",
-       "    .dataframe thead tr:last-of-type th {\n",
-       "        text-align: right;\n",
-       "    }\n",
-       "</style>\n",
-       "<table border=\"1\" class=\"dataframe\">\n",
-       "  <thead>\n",
-       "    <tr>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th colspan=\"5\" halign=\"left\">DifferenceTimeAggregation</th>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th>analytic</th>\n",
-       "      <th colspan=\"3\" halign=\"left\">pointwise conf. band</th>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th>ATT</th>\n",
-       "      <th>std_error</th>\n",
-       "      <th>lower</th>\n",
-       "      <th>upper</th>\n",
-       "      <th>zero_not_in_cband</th>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>sample_name</th>\n",
-       "      <th>difference_between</th>\n",
-       "      <th>time</th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "    </tr>\n",
-       "  </thead>\n",
-       "  <tbody>\n",
-       "    <tr>\n",
-       "      <th rowspan=\"3\" valign=\"top\">samples = 2</th>\n",
-       "      <th rowspan=\"3\" valign=\"top\">0 - 1</th>\n",
-       "      <th>1901</th>\n",
-       "      <td>-0.366749</td>\n",
-       "      <td>2.745978</td>\n",
-       "      <td>-5.748767</td>\n",
-       "      <td>5.015269</td>\n",
-       "      <td></td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>1902</th>\n",
-       "      <td>0.689242</td>\n",
-       "      <td>3.101619</td>\n",
-       "      <td>-5.389819</td>\n",
-       "      <td>6.768304</td>\n",
-       "      <td></td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>1903</th>\n",
-       "      <td>1.007773</td>\n",
-       "      <td>2.002671</td>\n",
-       "      <td>-2.917389</td>\n",
-       "      <td>4.932936</td>\n",
-       "      <td></td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>...</th>\n",
-       "      <th>...</th>\n",
-       "      <th>...</th>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th rowspan=\"3\" valign=\"top\">samples = 1</th>\n",
-       "      <th rowspan=\"3\" valign=\"top\">0 - 1</th>\n",
-       "      <th>1905</th>\n",
-       "      <td>5.320888</td>\n",
-       "      <td>2.212145</td>\n",
-       "      <td>0.985162</td>\n",
-       "      <td>9.656613</td>\n",
-       "      <td>*</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>1906</th>\n",
-       "      <td>4.642867</td>\n",
-       "      <td>1.751682</td>\n",
-       "      <td>1.209633</td>\n",
-       "      <td>8.076101</td>\n",
-       "      <td>*</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>1907</th>\n",
-       "      <td>6.223082</td>\n",
-       "      <td>1.908472</td>\n",
-       "      <td>2.482545</td>\n",
-       "      <td>9.963619</td>\n",
-       "      <td>*</td>\n",
-       "    </tr>\n",
-       "  </tbody>\n",
-       "</table>\n",
-       "<p>21 rows × 5 columns</p>\n",
-       "</div>"
-      ],
-      "text/plain": [
-       "                                    DifferenceTimeAggregation            \\\n",
-       "                                                               analytic   \n",
-       "                                                          ATT std_error   \n",
-       "sample_name difference_between time                                       \n",
-       "samples = 2 0 - 1              1901                 -0.366749  2.745978   \n",
-       "                               1902                  0.689242  3.101619   \n",
-       "                               1903                  1.007773  2.002671   \n",
-       "...                                                       ...       ...   \n",
-       "samples = 1 0 - 1              1905                  5.320888  2.212145   \n",
-       "                               1906                  4.642867  1.751682   \n",
-       "                               1907                  6.223082  1.908472   \n",
-       "\n",
-       "                                                                    \\\n",
-       "                                    pointwise conf. band             \n",
-       "                                                   lower     upper   \n",
-       "sample_name difference_between time                                  \n",
-       "samples = 2 0 - 1              1901            -5.748767  5.015269   \n",
-       "                               1902            -5.389819  6.768304   \n",
-       "                               1903            -2.917389  4.932936   \n",
-       "...                                                  ...       ...   \n",
-       "samples = 1 0 - 1              1905             0.985162  9.656613   \n",
-       "                               1906             1.209633  8.076101   \n",
-       "                               1907             2.482545  9.963619   \n",
-       "\n",
-       "                                                       \n",
-       "                                                       \n",
-       "                                    zero_not_in_cband  \n",
-       "sample_name difference_between time                    \n",
-       "samples = 2 0 - 1              1901                    \n",
-       "                               1902                    \n",
-       "                               1903                    \n",
-       "...                                               ...  \n",
-       "samples = 1 0 - 1              1905                 *  \n",
-       "                               1906                 *  \n",
-       "                               1907                 *  \n",
-       "\n",
-       "[21 rows x 5 columns]"
-      ]
-     },
-     "execution_count": 32,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "att_gt.aggregate(\"time\", difference=[0, 1])"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 33,
-   "id": "50400524",
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "['samples = 2', 'samples = 0', 'samples = 1']"
-      ]
-     },
-     "execution_count": 33,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "att_gt.sample_names"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 34,
-   "id": "c3bb845e",
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/html": [
-       "<div>\n",
-       "<style scoped>\n",
-       "    .dataframe tbody tr th:only-of-type {\n",
-       "        vertical-align: middle;\n",
-       "    }\n",
-       "\n",
-       "    .dataframe tbody tr th {\n",
-       "        vertical-align: top;\n",
-       "    }\n",
-       "\n",
-       "    .dataframe thead tr th {\n",
-       "        text-align: left;\n",
-       "    }\n",
-       "\n",
-       "    .dataframe thead tr:last-of-type th {\n",
-       "        text-align: right;\n",
-       "    }\n",
-       "</style>\n",
-       "<table border=\"1\" class=\"dataframe\">\n",
-       "  <thead>\n",
-       "    <tr>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th colspan=\"5\" halign=\"left\">DifferenceTimeAggregation</th>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th>analytic</th>\n",
-       "      <th colspan=\"3\" halign=\"left\">pointwise conf. band</th>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th>ATT</th>\n",
-       "      <th>std_error</th>\n",
-       "      <th>lower</th>\n",
-       "      <th>upper</th>\n",
-       "      <th>zero_not_in_cband</th>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>stratum</th>\n",
-       "      <th>difference_between</th>\n",
-       "      <th>time</th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "    </tr>\n",
-       "  </thead>\n",
-       "  <tbody>\n",
-       "    <tr>\n",
-       "      <th rowspan=\"3\" valign=\"top\">0</th>\n",
-       "      <th rowspan=\"3\" valign=\"top\">samples = 2 - samples = 0</th>\n",
-       "      <th>1901</th>\n",
-       "      <td>1.470721</td>\n",
-       "      <td>2.102341</td>\n",
-       "      <td>-2.649793</td>\n",
-       "      <td>5.591234</td>\n",
-       "      <td></td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>1902</th>\n",
-       "      <td>-10.006937</td>\n",
-       "      <td>2.011322</td>\n",
-       "      <td>-13.949056</td>\n",
-       "      <td>-6.064819</td>\n",
-       "      <td>*</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>1903</th>\n",
-       "      <td>-6.449823</td>\n",
-       "      <td>1.612146</td>\n",
-       "      <td>-9.609571</td>\n",
-       "      <td>-3.290075</td>\n",
-       "      <td>*</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>...</th>\n",
-       "      <th>...</th>\n",
-       "      <th>...</th>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th rowspan=\"3\" valign=\"top\">1</th>\n",
-       "      <th rowspan=\"3\" valign=\"top\">samples = 2 - samples = 0</th>\n",
-       "      <th>1905</th>\n",
-       "      <td>-8.045895</td>\n",
-       "      <td>1.515554</td>\n",
-       "      <td>-11.016327</td>\n",
-       "      <td>-5.075464</td>\n",
-       "      <td>*</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>1906</th>\n",
-       "      <td>-4.207633</td>\n",
-       "      <td>1.397745</td>\n",
-       "      <td>-6.947163</td>\n",
-       "      <td>-1.468103</td>\n",
-       "      <td>*</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>1907</th>\n",
-       "      <td>-4.728102</td>\n",
-       "      <td>1.423883</td>\n",
-       "      <td>-7.518862</td>\n",
-       "      <td>-1.937342</td>\n",
-       "      <td>*</td>\n",
-       "    </tr>\n",
-       "  </tbody>\n",
-       "</table>\n",
-       "<p>14 rows × 5 columns</p>\n",
-       "</div>"
-      ],
-      "text/plain": [
-       "                                       DifferenceTimeAggregation            \\\n",
-       "                                                                  analytic   \n",
-       "                                                             ATT std_error   \n",
-       "stratum difference_between        time                                       \n",
-       "0       samples = 2 - samples = 0 1901                  1.470721  2.102341   \n",
-       "                                  1902                -10.006937  2.011322   \n",
-       "                                  1903                 -6.449823  1.612146   \n",
-       "...                                                          ...       ...   \n",
-       "1       samples = 2 - samples = 0 1905                 -8.045895  1.515554   \n",
-       "                                  1906                 -4.207633  1.397745   \n",
-       "                                  1907                 -4.728102  1.423883   \n",
-       "\n",
-       "                                                                       \\\n",
-       "                                       pointwise conf. band             \n",
-       "                                                      lower     upper   \n",
-       "stratum difference_between        time                                  \n",
-       "0       samples = 2 - samples = 0 1901            -2.649793  5.591234   \n",
-       "                                  1902           -13.949056 -6.064819   \n",
-       "                                  1903            -9.609571 -3.290075   \n",
-       "...                                                     ...       ...   \n",
-       "1       samples = 2 - samples = 0 1905           -11.016327 -5.075464   \n",
-       "                                  1906            -6.947163 -1.468103   \n",
-       "                                  1907            -7.518862 -1.937342   \n",
-       "\n",
-       "                                                          \n",
-       "                                                          \n",
-       "                                       zero_not_in_cband  \n",
-       "stratum difference_between        time                    \n",
-       "0       samples = 2 - samples = 0 1901                    \n",
-       "                                  1902                 *  \n",
-       "                                  1903                 *  \n",
-       "...                                                  ...  \n",
-       "1       samples = 2 - samples = 0 1905                 *  \n",
-       "                                  1906                 *  \n",
-       "                                  1907                 *  \n",
-       "\n",
-       "[14 rows x 5 columns]"
-      ]
-     },
-     "execution_count": 34,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "att_gt.aggregate(\"time\", difference=[\"samples = 2\", \"samples = 0\"])"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "id": "3bd98f91",
-   "metadata": {},
-   "source": [
-    "## Custom Estimation & DoubleML"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 35,
-   "id": "1d89acae",
-   "metadata": {},
-   "outputs": [],
-   "source": [
-    "from sklearn.ensemble import RandomForestClassifier, RandomForestRegressor\n",
-    "\n",
-    "# outcome model\n",
-    "outcome_model = RandomForestRegressor(n_estimators=100, max_depth=2)\n",
-    "\n",
-    "# propensity score model\n",
-    "pscore_model = RandomForestClassifier(n_estimators=100, max_depth=2)"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 36,
-   "id": "f6e129a9",
-   "metadata": {},
-   "outputs": [],
-   "source": [
-    "from functools import partial\n",
-    "from differences.did.double_ml import aiptw_double_ml_did_panel\n",
-    "\n",
-    "# use partial to set those models for cross-fitting\n",
-    "\n",
-    "aiptw = partial(\n",
-    "    aiptw_double_ml_did_panel,\n",
-    "    pscore_model=pscore_model,\n",
-    "    outcome_model=outcome_model,\n",
-    "    outcome_type=\"continuous\",\n",
-    ")"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 37,
-   "id": "48d94db4",
-   "metadata": {},
-   "outputs": [
-    {
-     "name": "stderr",
-     "output_type": "stream",
-     "text": [
-      "Computing ATTgt [workers=10]  100%|████████████████████| 42/42 [00:27<00:00,  1.53it/s]\n"
-     ]
-    },
-    {
-     "data": {
-      "text/html": [
-       "<div>\n",
-       "<style scoped>\n",
-       "    .dataframe tbody tr th:only-of-type {\n",
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-       "    }\n",
-       "\n",
-       "    .dataframe tbody tr th {\n",
-       "        vertical-align: top;\n",
-       "    }\n",
-       "\n",
-       "    .dataframe thead tr th {\n",
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-       "    }\n",
-       "\n",
-       "    .dataframe thead tr:last-of-type th {\n",
-       "        text-align: right;\n",
-       "    }\n",
-       "</style>\n",
-       "<table border=\"1\" class=\"dataframe\">\n",
-       "  <thead>\n",
-       "    <tr>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th colspan=\"5\" halign=\"left\">ATTgtResult</th>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th>analytic</th>\n",
-       "      <th colspan=\"3\" halign=\"left\">pointwise conf. band</th>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th>ATT</th>\n",
-       "      <th>std_error</th>\n",
-       "      <th>lower</th>\n",
-       "      <th>upper</th>\n",
-       "      <th>zero_not_in_cband</th>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>stratum</th>\n",
-       "      <th>cohort</th>\n",
-       "      <th>base_period</th>\n",
-       "      <th>time</th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "    </tr>\n",
-       "  </thead>\n",
-       "  <tbody>\n",
-       "    <tr>\n",
-       "      <th rowspan=\"3\" valign=\"top\">0</th>\n",
-       "      <th rowspan=\"3\" valign=\"top\">1901</th>\n",
-       "      <th rowspan=\"3\" valign=\"top\">1900</th>\n",
-       "      <th>1901</th>\n",
-       "      <td>-2.809343</td>\n",
-       "      <td>1.806964</td>\n",
-       "      <td>-6.350927</td>\n",
-       "      <td>0.732242</td>\n",
-       "      <td></td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>1902</th>\n",
-       "      <td>5.300236</td>\n",
-       "      <td>1.724092</td>\n",
-       "      <td>1.921077</td>\n",
-       "      <td>8.679394</td>\n",
-       "      <td>*</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>1903</th>\n",
-       "      <td>10.981719</td>\n",
-       "      <td>1.759577</td>\n",
-       "      <td>7.533012</td>\n",
-       "      <td>14.430427</td>\n",
-       "      <td>*</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>...</th>\n",
-       "      <th>...</th>\n",
-       "      <th>...</th>\n",
-       "      <th>...</th>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th rowspan=\"3\" valign=\"top\">1</th>\n",
-       "      <th rowspan=\"3\" valign=\"top\">1906</th>\n",
-       "      <th>1904</th>\n",
-       "      <th>1905</th>\n",
-       "      <td>-2.160258</td>\n",
-       "      <td>1.731272</td>\n",
-       "      <td>-5.553488</td>\n",
-       "      <td>1.232972</td>\n",
-       "      <td></td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th rowspan=\"2\" valign=\"top\">1905</th>\n",
-       "      <th>1906</th>\n",
-       "      <td>0.015155</td>\n",
-       "      <td>1.767796</td>\n",
-       "      <td>-3.449661</td>\n",
-       "      <td>3.479971</td>\n",
-       "      <td></td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>1907</th>\n",
-       "      <td>4.812429</td>\n",
-       "      <td>1.722523</td>\n",
-       "      <td>1.436346</td>\n",
-       "      <td>8.188512</td>\n",
-       "      <td>*</td>\n",
-       "    </tr>\n",
-       "  </tbody>\n",
-       "</table>\n",
-       "<p>42 rows × 5 columns</p>\n",
-       "</div>"
-      ],
-      "text/plain": [
-       "                                ATTgtResult                                 \\\n",
-       "                                             analytic pointwise conf. band   \n",
-       "                                        ATT std_error                lower   \n",
-       "stratum cohort base_period time                                              \n",
-       "0       1901   1900        1901   -2.809343  1.806964            -6.350927   \n",
-       "                           1902    5.300236  1.724092             1.921077   \n",
-       "                           1903   10.981719  1.759577             7.533012   \n",
-       "...                                     ...       ...                  ...   \n",
-       "1       1906   1904        1905   -2.160258  1.731272            -5.553488   \n",
-       "               1905        1906    0.015155  1.767796            -3.449661   \n",
-       "                           1907    4.812429  1.722523             1.436346   \n",
-       "\n",
-       "                                                              \n",
-       "                                                              \n",
-       "                                     upper zero_not_in_cband  \n",
-       "stratum cohort base_period time                               \n",
-       "0       1901   1900        1901   0.732242                    \n",
-       "                           1902   8.679394                 *  \n",
-       "                           1903  14.430427                 *  \n",
-       "...                                    ...               ...  \n",
-       "1       1906   1904        1905   1.232972                    \n",
-       "               1905        1906   3.479971                    \n",
-       "                           1907   8.188512                 *  \n",
-       "\n",
-       "[42 rows x 5 columns]"
-      ]
-     },
-     "execution_count": 37,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "# now, instead of selecting from the menu of options available for the est_method,\n",
-    "# we plug in the function we composed above\n",
-    "\n",
-    "att_gt.fit(\n",
-    "    formula=\"y ~ x0\",\n",
-    "    n_jobs=-1,\n",
-    "    est_method=aiptw,  # <--- plug in here\n",
-    ")"
-   ]
-  }
- ],
- "metadata": {
-  "kernelspec": {
-   "display_name": "Python 3 (ipykernel)",
-   "language": "python",
-   "name": "python3"
-  },
-  "language_info": {
-   "codemirror_mode": {
-    "name": "ipython",
-    "version": 3
-   },
-   "file_extension": ".py",
-   "mimetype": "text/x-python",
-   "name": "python",
-   "nbconvert_exporter": "python",
-   "pygments_lexer": "ipython3",
-   "version": "3.9.13"
-  }
- },
- "nbformat": 4,
- "nbformat_minor": 5
-}
diff --git a/doc/source/notebooks/twfe.ipynb b/doc/source/notebooks/twfe.ipynb
deleted file mode 100644
index d40400b..0000000
--- a/doc/source/notebooks/twfe.ipynb
+++ /dev/null
@@ -1,554 +0,0 @@
-{
- "cells": [
-  {
-   "cell_type": "markdown",
-   "metadata": {},
-   "source": [
-    "# TWFE"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 1,
-   "metadata": {},
-   "outputs": [],
-   "source": [
-    "from differences import simulate_data, TWFE"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "metadata": {},
-   "source": [
-    "see [plotto](https://plotto.readthedocs.io/en/latest/notebooks/plotto.html#Plot-parameters) to configure the plots. the .plot() method takes the same arguments as the function [mark_plot() in plotto](https://plotto.readthedocs.io/en/latest/api_reference/plotto.html#plotto.plotto.mark_plot)"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 2,
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/html": [
-       "<div>\n",
-       "<style scoped>\n",
-       "    .dataframe tbody tr th:only-of-type {\n",
-       "        vertical-align: middle;\n",
-       "    }\n",
-       "\n",
-       "    .dataframe tbody tr th {\n",
-       "        vertical-align: top;\n",
-       "    }\n",
-       "\n",
-       "    .dataframe thead th {\n",
-       "        text-align: right;\n",
-       "    }\n",
-       "</style>\n",
-       "<table border=\"1\" class=\"dataframe\">\n",
-       "  <thead>\n",
-       "    <tr style=\"text-align: right;\">\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th>y</th>\n",
-       "      <th>x0</th>\n",
-       "      <th>w</th>\n",
-       "      <th>cat.0</th>\n",
-       "      <th>cat.1</th>\n",
-       "      <th>effect</th>\n",
-       "      <th>cohort</th>\n",
-       "      <th>intensity</th>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>entity</th>\n",
-       "      <th>time</th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "    </tr>\n",
-       "  </thead>\n",
-       "  <tbody>\n",
-       "    <tr>\n",
-       "      <th rowspan=\"5\" valign=\"top\">e0</th>\n",
-       "      <th>1900</th>\n",
-       "      <td>0.376343</td>\n",
-       "      <td>0.160245</td>\n",
-       "      <td>3.729827</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0.0</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>1901</th>\n",
-       "      <td>1.664105</td>\n",
-       "      <td>-1.933404</td>\n",
-       "      <td>1.691201</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0.0</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>1902</th>\n",
-       "      <td>-11.229124</td>\n",
-       "      <td>-0.056813</td>\n",
-       "      <td>1.786326</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0.0</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>1903</th>\n",
-       "      <td>0.542425</td>\n",
-       "      <td>0.810118</td>\n",
-       "      <td>1.741609</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0.0</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>1904</th>\n",
-       "      <td>1.111293</td>\n",
-       "      <td>0.101205</td>\n",
-       "      <td>0.806004</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0.0</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>...</th>\n",
-       "      <th>...</th>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th rowspan=\"5\" valign=\"top\">e999</th>\n",
-       "      <th>1903</th>\n",
-       "      <td>-12.916305</td>\n",
-       "      <td>1.355023</td>\n",
-       "      <td>0.688025</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0.0</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>1904</th>\n",
-       "      <td>-7.780740</td>\n",
-       "      <td>-0.381267</td>\n",
-       "      <td>1.952084</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0.0</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>1905</th>\n",
-       "      <td>-16.677634</td>\n",
-       "      <td>-0.258604</td>\n",
-       "      <td>1.801049</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0.0</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>1906</th>\n",
-       "      <td>0.556390</td>\n",
-       "      <td>1.504564</td>\n",
-       "      <td>0.616657</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0.0</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>1907</th>\n",
-       "      <td>-4.153630</td>\n",
-       "      <td>0.472740</td>\n",
-       "      <td>0.674045</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0.0</td>\n",
-       "      <td>NaN</td>\n",
-       "      <td>NaN</td>\n",
-       "    </tr>\n",
-       "  </tbody>\n",
-       "</table>\n",
-       "<p>8000 rows × 8 columns</p>\n",
-       "</div>"
-      ],
-      "text/plain": [
-       "                     y        x0         w  cat.0  cat.1  effect  cohort  \\\n",
-       "entity time                                                                \n",
-       "e0     1900   0.376343  0.160245  3.729827      0      0     0.0     NaN   \n",
-       "       1901   1.664105 -1.933404  1.691201      0      0     0.0     NaN   \n",
-       "       1902 -11.229124 -0.056813  1.786326      0      0     0.0     NaN   \n",
-       "       1903   0.542425  0.810118  1.741609      0      0     0.0     NaN   \n",
-       "       1904   1.111293  0.101205  0.806004      0      0     0.0     NaN   \n",
-       "...                ...       ...       ...    ...    ...     ...     ...   \n",
-       "e999   1903 -12.916305  1.355023  0.688025      0      0     0.0     NaN   \n",
-       "       1904  -7.780740 -0.381267  1.952084      0      0     0.0     NaN   \n",
-       "       1905 -16.677634 -0.258604  1.801049      0      0     0.0     NaN   \n",
-       "       1906   0.556390  1.504564  0.616657      0      0     0.0     NaN   \n",
-       "       1907  -4.153630  0.472740  0.674045      0      0     0.0     NaN   \n",
-       "\n",
-       "             intensity  \n",
-       "entity time             \n",
-       "e0     1900        NaN  \n",
-       "       1901        NaN  \n",
-       "       1902        NaN  \n",
-       "       1903        NaN  \n",
-       "       1904        NaN  \n",
-       "...                ...  \n",
-       "e999   1903        NaN  \n",
-       "       1904        NaN  \n",
-       "       1905        NaN  \n",
-       "       1906        NaN  \n",
-       "       1907        NaN  \n",
-       "\n",
-       "[8000 rows x 8 columns]"
-      ]
-     },
-     "execution_count": 2,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "panel_data = simulate_data()  # generate data\n",
-    "\n",
-    "panel_data"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 3,
-   "metadata": {},
-   "outputs": [],
-   "source": [
-    "twfe = TWFE(\n",
-    "    data=panel_data,\n",
-    "    cohort_name=\"cohort\",\n",
-    ")"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 4,
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/html": [
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-       "  <thead>\n",
-       "    <tr style=\"text-align: right;\">\n",
-       "      <th></th>\n",
-       "      <th>parameter</th>\n",
-       "      <th>std_error</th>\n",
-       "      <th>t_stat</th>\n",
-       "      <th>p_value</th>\n",
-       "      <th>lower</th>\n",
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-       "  </thead>\n",
-       "  <tbody>\n",
-       "    <tr>\n",
-       "      <th>Intercept</th>\n",
-       "      <td>0.170176</td>\n",
-       "      <td>0.483307</td>\n",
-       "      <td>0.352107</td>\n",
-       "      <td>7.247582e-01</td>\n",
-       "      <td>-0.777088</td>\n",
-       "      <td>1.117439</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>-6</th>\n",
-       "      <td>3.943623</td>\n",
-       "      <td>1.100968</td>\n",
-       "      <td>3.581961</td>\n",
-       "      <td>3.410253e-04</td>\n",
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-       "      <td>6.101481</td>\n",
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-       "    <tr>\n",
-       "      <th>-5</th>\n",
-       "      <td>3.322752</td>\n",
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-       "      <td>3.239476</td>\n",
-       "      <td>1.197494e-03</td>\n",
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-       "      <td>5.333100</td>\n",
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-       "      <th>-4</th>\n",
-       "      <td>2.169448</td>\n",
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-       "      <td>1.612621e-02</td>\n",
-       "      <td>0.402217</td>\n",
-       "      <td>3.936679</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>-3</th>\n",
-       "      <td>0.799785</td>\n",
-       "      <td>0.736629</td>\n",
-       "      <td>1.085737</td>\n",
-       "      <td>2.775954e-01</td>\n",
-       "      <td>-0.643981</td>\n",
-       "      <td>2.243552</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>-2</th>\n",
-       "      <td>2.223513</td>\n",
-       "      <td>0.855707</td>\n",
-       "      <td>2.598452</td>\n",
-       "      <td>9.364502e-03</td>\n",
-       "      <td>0.546359</td>\n",
-       "      <td>3.900667</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>0</th>\n",
-       "      <td>-0.120740</td>\n",
-       "      <td>0.881288</td>\n",
-       "      <td>-0.137004</td>\n",
-       "      <td>8.910277e-01</td>\n",
-       "      <td>-1.848032</td>\n",
-       "      <td>1.606552</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>1</th>\n",
-       "      <td>5.291089</td>\n",
-       "      <td>0.708303</td>\n",
-       "      <td>7.470090</td>\n",
-       "      <td>8.015810e-14</td>\n",
-       "      <td>3.902840</td>\n",
-       "      <td>6.679338</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>2</th>\n",
-       "      <td>12.605998</td>\n",
-       "      <td>1.031534</td>\n",
-       "      <td>12.220630</td>\n",
-       "      <td>0.000000e+00</td>\n",
-       "      <td>10.584228</td>\n",
-       "      <td>14.627768</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>3</th>\n",
-       "      <td>21.453005</td>\n",
-       "      <td>0.873314</td>\n",
-       "      <td>24.565050</td>\n",
-       "      <td>0.000000e+00</td>\n",
-       "      <td>19.741341</td>\n",
-       "      <td>23.164670</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>4</th>\n",
-       "      <td>34.619623</td>\n",
-       "      <td>1.321403</td>\n",
-       "      <td>26.199132</td>\n",
-       "      <td>0.000000e+00</td>\n",
-       "      <td>32.029720</td>\n",
-       "      <td>37.209526</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>5</th>\n",
-       "      <td>43.410681</td>\n",
-       "      <td>1.207994</td>\n",
-       "      <td>35.936172</td>\n",
-       "      <td>0.000000e+00</td>\n",
-       "      <td>41.043057</td>\n",
-       "      <td>45.778306</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>6</th>\n",
-       "      <td>54.668145</td>\n",
-       "      <td>1.478442</td>\n",
-       "      <td>36.976859</td>\n",
-       "      <td>0.000000e+00</td>\n",
-       "      <td>51.770451</td>\n",
-       "      <td>57.565838</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>7</th>\n",
-       "      <td>67.229564</td>\n",
-       "      <td>1.357234</td>\n",
-       "      <td>49.534260</td>\n",
-       "      <td>0.000000e+00</td>\n",
-       "      <td>64.569435</td>\n",
-       "      <td>69.889693</td>\n",
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-      "text/plain": [
-       "           parameter  std_error     t_stat       p_value      lower      upper\n",
-       "Intercept   0.170176   0.483307   0.352107  7.247582e-01  -0.777088   1.117439\n",
-       "-6          3.943623   1.100968   3.581961  3.410253e-04   1.785766   6.101481\n",
-       "-5          3.322752   1.025707   3.239476  1.197494e-03   1.312404   5.333100\n",
-       "-4          2.169448   0.901665   2.406047  1.612621e-02   0.402217   3.936679\n",
-       "-3          0.799785   0.736629   1.085737  2.775954e-01  -0.643981   2.243552\n",
-       "-2          2.223513   0.855707   2.598452  9.364502e-03   0.546359   3.900667\n",
-       "0          -0.120740   0.881288  -0.137004  8.910277e-01  -1.848032   1.606552\n",
-       "1           5.291089   0.708303   7.470090  8.015810e-14   3.902840   6.679338\n",
-       "2          12.605998   1.031534  12.220630  0.000000e+00  10.584228  14.627768\n",
-       "3          21.453005   0.873314  24.565050  0.000000e+00  19.741341  23.164670\n",
-       "4          34.619623   1.321403  26.199132  0.000000e+00  32.029720  37.209526\n",
-       "5          43.410681   1.207994  35.936172  0.000000e+00  41.043057  45.778306\n",
-       "6          54.668145   1.478442  36.976859  0.000000e+00  51.770451  57.565838\n",
-       "7          67.229564   1.357234  49.534260  0.000000e+00  64.569435  69.889693"
-      ]
-     },
-     "execution_count": 4,
-     "metadata": {},
-     "output_type": "execute_result"
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-   ],
-   "source": [
-    "twfe.fit(\n",
-    "    formula=\"y\",\n",
-    "    cluster_names=\"entity\",\n",
-    ")"
-   ]
-  },
-  {
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-   "execution_count": 5,
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\"$schema\": \"https://vega.github.io/schema/vega-lite/v4.17.0.json\", \"datasets\": {\"data-a75b1b184b85f82058d0d93c07bf4971\": [{\"relative_period\": -6, \"parameter\": 3.9436233390263027, \"std_error\": 1.1009678391685416, \"t_stat\": 3.5819605248456248, \"p_value\": 0.00034102533209146024, \"lower\": 1.7857660261190742, \"upper\": 6.101480651933531}, {\"relative_period\": -5, \"parameter\": 3.322752052741893, \"std_error\": 1.0257065283194764, \"t_stat\": 3.239476361904325, \"p_value\": 0.0011974939189982603, \"lower\": 1.3124041985281059, \"upper\": 5.333099906955679}, {\"relative_period\": -4, \"parameter\": 2.169448081136256, \"std_error\": 0.9016650256953632, \"t_stat\": 2.406046613001519, \"p_value\": 0.01612620696213307, \"lower\": 0.4022171046539613, \"upper\": 3.93667905761855}, {\"relative_period\": -3, \"parameter\": 0.7997853139717233, \"std_error\": 0.7366289590394312, \"t_stat\": 1.085736997109981, \"p_value\": 0.2775953673309719, \"lower\": -0.6439809157147929, \"upper\": 2.243551543658239}, {\"relative_period\": -2, \"parameter\": 2.2235129083721876, \"std_error\": 0.8557066083849403, \"t_stat\": 2.5984524211737052, \"p_value\": 0.009364502156488541, \"lower\": 0.546358774604784, \"upper\": 3.900667042139591}, {\"relative_period\": -1, \"parameter\": 0.0, \"std_error\": 0.0, \"t_stat\": 0.0, \"p_value\": 0.0, \"lower\": 0.0, \"upper\": 0.0}, {\"relative_period\": 0, \"parameter\": -0.12073983941942856, \"std_error\": 0.8812875083921411, \"t_stat\": -0.13700391560038283, \"p_value\": 0.891027700097125, \"lower\": -1.848031615893066, \"upper\": 1.6065519370542085}, {\"relative_period\": 1, \"parameter\": 5.291089220780563, \"std_error\": 0.7083032850686971, \"t_stat\": 7.470089906850269, \"p_value\": 8.01581023779363e-14, \"lower\": 3.9028402919145093, \"upper\": 6.679338149646616}, {\"relative_period\": 2, \"parameter\": 12.605998266215964, \"std_error\": 1.0315342174630846, \"t_stat\": 12.220630254242723, \"p_value\": 0.0, \"lower\": 10.58422835116761, \"upper\": 14.627768181264319}, {\"relative_period\": 3, \"parameter\": 21.453005331354902, \"std_error\": 0.8733141337968845, \"t_stat\": 24.5650499644203, \"p_value\": 0.0, \"lower\": 19.741341081923213, \"upper\": 23.16466958078659}, {\"relative_period\": 4, \"parameter\": 34.61962272239674, \"std_error\": 1.321403437853168, \"t_stat\": 26.199131719107584, \"p_value\": 0.0, \"lower\": 32.02971957515712, \"upper\": 37.209525869636366}, {\"relative_period\": 5, \"parameter\": 43.410681476863054, \"std_error\": 1.2079940220576164, \"t_stat\": 35.936172434794166, \"p_value\": 0.0, \"lower\": 41.04305670009044, \"upper\": 45.77830625363566}, {\"relative_period\": 6, \"parameter\": 54.668144695293115, \"std_error\": 1.478442092070205, \"t_stat\": 36.97685894396001, \"p_value\": 0.0, \"lower\": 51.77045144160746, \"upper\": 57.56583794897877}, {\"relative_period\": 7, \"parameter\": 67.22956357644505, \"std_error\": 1.357233636645817, \"t_stat\": 49.53425980702336, \"p_value\": 0.0, \"lower\": 64.56943453001293, \"upper\": 69.88969262287716}], \"data-ca691b5bfe29c145861d1f2a0f5cd16c\": [{\"name\": \"Is panel\", \"info\": \"True\"}, {\"name\": \"Is balanced panel\", \"info\": \"True\"}, {\"name\": \"Formula\", \"info\": \"y ~ 1 | entity + time\"}, {\"name\": \"Cov estimator\", \"info\": \"clustered, with ['entity'] clusters\"}]}}, {\"mode\": \"vega-lite\"});\n",
-       "</script>"
-      ],
-      "text/plain": [
-       "alt.HConcatChart(...)"
-      ]
-     },
-     "execution_count": 5,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "twfe.plot()"
-   ]
-  }
- ],
- "metadata": {
-  "kernelspec": {
-   "display_name": "Python 3 (ipykernel)",
-   "language": "python",
-   "name": "python3"
-  },
-  "language_info": {
-   "codemirror_mode": {
-    "name": "ipython",
-    "version": 3
-   },
-   "file_extension": ".py",
-   "mimetype": "text/x-python",
-   "name": "python",
-   "nbconvert_exporter": "python",
-   "pygments_lexer": "ipython3",
-   "version": "3.9.13"
-  }
- },
- "nbformat": 4,
- "nbformat_minor": 1
-}
diff --git a/examples/twfe.ipynb b/examples/twfe.ipynb
deleted file mode 100644
index 40d4ad7..0000000
--- a/examples/twfe.ipynb
+++ /dev/null
@@ -1,554 +0,0 @@
-{
- "cells": [
-  {
-   "cell_type": "markdown",
-   "metadata": {},
-   "source": [
-    "# TWFE"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 1,
-   "metadata": {},
-   "outputs": [],
-   "source": [
-    "from differences import simulate_data, TWFE"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "metadata": {},
-   "source": [
-    "see [plotto](https://plotto.readthedocs.io/en/latest/notebooks/plotto.html#Plot-parameters) to configure the plots. the .plot() method takes the same arguments as the function [mark_plot() in plotto](https://plotto.readthedocs.io/en/latest/api_reference/plotto.html#plotto.plotto.mark_plot)"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 2,
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/html": [
-       "<div>\n",
-       "<style scoped>\n",
-       "    .dataframe tbody tr th:only-of-type {\n",
-       "        vertical-align: middle;\n",
-       "    }\n",
-       "\n",
-       "    .dataframe tbody tr th {\n",
-       "        vertical-align: top;\n",
-       "    }\n",
-       "\n",
-       "    .dataframe thead th {\n",
-       "        text-align: right;\n",
-       "    }\n",
-       "</style>\n",
-       "<table border=\"1\" class=\"dataframe\">\n",
-       "  <thead>\n",
-       "    <tr style=\"text-align: right;\">\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th>y</th>\n",
-       "      <th>x0</th>\n",
-       "      <th>w</th>\n",
-       "      <th>cat.0</th>\n",
-       "      <th>cat.1</th>\n",
-       "      <th>effect</th>\n",
-       "      <th>cohort</th>\n",
-       "      <th>intensity</th>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>entity</th>\n",
-       "      <th>time</th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "      <th></th>\n",
-       "    </tr>\n",
-       "  </thead>\n",
-       "  <tbody>\n",
-       "    <tr>\n",
-       "      <th rowspan=\"5\" valign=\"top\">e0</th>\n",
-       "      <th>1900</th>\n",
-       "      <td>3.575880</td>\n",
-       "      <td>0.160245</td>\n",
-       "      <td>3.729827</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0.00</td>\n",
-       "      <td>1901.0</td>\n",
-       "      <td>0.50</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>1901</th>\n",
-       "      <td>3.608329</td>\n",
-       "      <td>-1.933404</td>\n",
-       "      <td>1.691201</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0.00</td>\n",
-       "      <td>1901.0</td>\n",
-       "      <td>0.50</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>1902</th>\n",
-       "      <td>5.132523</td>\n",
-       "      <td>-0.056813</td>\n",
-       "      <td>1.786326</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0.50</td>\n",
-       "      <td>1901.0</td>\n",
-       "      <td>0.50</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>1903</th>\n",
-       "      <td>-6.316240</td>\n",
-       "      <td>0.810118</td>\n",
-       "      <td>1.741609</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>1.00</td>\n",
-       "      <td>1901.0</td>\n",
-       "      <td>0.50</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>1904</th>\n",
-       "      <td>3.409524</td>\n",
-       "      <td>0.101205</td>\n",
-       "      <td>0.806004</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>1.50</td>\n",
-       "      <td>1901.0</td>\n",
-       "      <td>0.50</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>...</th>\n",
-       "      <th>...</th>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "      <td>...</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th rowspan=\"5\" valign=\"top\">e999</th>\n",
-       "      <th>1903</th>\n",
-       "      <td>11.376111</td>\n",
-       "      <td>1.355023</td>\n",
-       "      <td>0.688025</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>15.75</td>\n",
-       "      <td>1900.0</td>\n",
-       "      <td>5.25</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>1904</th>\n",
-       "      <td>11.727819</td>\n",
-       "      <td>-0.381267</td>\n",
-       "      <td>1.952084</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>21.00</td>\n",
-       "      <td>1900.0</td>\n",
-       "      <td>5.25</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>1905</th>\n",
-       "      <td>19.238415</td>\n",
-       "      <td>-0.258604</td>\n",
-       "      <td>1.801049</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>26.25</td>\n",
-       "      <td>1900.0</td>\n",
-       "      <td>5.25</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>1906</th>\n",
-       "      <td>40.145541</td>\n",
-       "      <td>1.504564</td>\n",
-       "      <td>0.616657</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>31.50</td>\n",
-       "      <td>1900.0</td>\n",
-       "      <td>5.25</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>1907</th>\n",
-       "      <td>70.673952</td>\n",
-       "      <td>0.472740</td>\n",
-       "      <td>0.674045</td>\n",
-       "      <td>0</td>\n",
-       "      <td>0</td>\n",
-       "      <td>36.75</td>\n",
-       "      <td>1900.0</td>\n",
-       "      <td>5.25</td>\n",
-       "    </tr>\n",
-       "  </tbody>\n",
-       "</table>\n",
-       "<p>8000 rows × 8 columns</p>\n",
-       "</div>"
-      ],
-      "text/plain": [
-       "                     y        x0         w  cat.0  cat.1  effect  cohort  \\\n",
-       "entity time                                                                \n",
-       "e0     1900   3.575880  0.160245  3.729827      0      0    0.00  1901.0   \n",
-       "       1901   3.608329 -1.933404  1.691201      0      0    0.00  1901.0   \n",
-       "       1902   5.132523 -0.056813  1.786326      0      0    0.50  1901.0   \n",
-       "       1903  -6.316240  0.810118  1.741609      0      0    1.00  1901.0   \n",
-       "       1904   3.409524  0.101205  0.806004      0      0    1.50  1901.0   \n",
-       "...                ...       ...       ...    ...    ...     ...     ...   \n",
-       "e999   1903  11.376111  1.355023  0.688025      0      0   15.75  1900.0   \n",
-       "       1904  11.727819 -0.381267  1.952084      0      0   21.00  1900.0   \n",
-       "       1905  19.238415 -0.258604  1.801049      0      0   26.25  1900.0   \n",
-       "       1906  40.145541  1.504564  0.616657      0      0   31.50  1900.0   \n",
-       "       1907  70.673952  0.472740  0.674045      0      0   36.75  1900.0   \n",
-       "\n",
-       "             intensity  \n",
-       "entity time             \n",
-       "e0     1900       0.50  \n",
-       "       1901       0.50  \n",
-       "       1902       0.50  \n",
-       "       1903       0.50  \n",
-       "       1904       0.50  \n",
-       "...                ...  \n",
-       "e999   1903       5.25  \n",
-       "       1904       5.25  \n",
-       "       1905       5.25  \n",
-       "       1906       5.25  \n",
-       "       1907       5.25  \n",
-       "\n",
-       "[8000 rows x 8 columns]"
-      ]
-     },
-     "execution_count": 2,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "panel_data = simulate_data()  # generate data\n",
-    "\n",
-    "panel_data"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 3,
-   "metadata": {},
-   "outputs": [],
-   "source": [
-    "twfe = TWFE(\n",
-    "    data=panel_data,\n",
-    "    cohort_name=\"cohort\",\n",
-    ")"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 4,
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/html": [
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-       "\n",
-       "    .dataframe thead th {\n",
-       "        text-align: right;\n",
-       "    }\n",
-       "</style>\n",
-       "<table border=\"1\" class=\"dataframe\">\n",
-       "  <thead>\n",
-       "    <tr style=\"text-align: right;\">\n",
-       "      <th></th>\n",
-       "      <th>parameter</th>\n",
-       "      <th>std_error</th>\n",
-       "      <th>t_stat</th>\n",
-       "      <th>p_value</th>\n",
-       "      <th>lower</th>\n",
-       "      <th>upper</th>\n",
-       "    </tr>\n",
-       "  </thead>\n",
-       "  <tbody>\n",
-       "    <tr>\n",
-       "      <th>Intercept</th>\n",
-       "      <td>3.393059</td>\n",
-       "      <td>0.522830</td>\n",
-       "      <td>6.489798</td>\n",
-       "      <td>8.595147e-11</td>\n",
-       "      <td>2.368332</td>\n",
-       "      <td>4.417787</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>-6</th>\n",
-       "      <td>-2.154907</td>\n",
-       "      <td>0.972402</td>\n",
-       "      <td>-2.216067</td>\n",
-       "      <td>2.668692e-02</td>\n",
-       "      <td>-4.060780</td>\n",
-       "      <td>-0.249035</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>-5</th>\n",
-       "      <td>-4.080347</td>\n",
-       "      <td>1.082333</td>\n",
-       "      <td>-3.769953</td>\n",
-       "      <td>1.632780e-04</td>\n",
-       "      <td>-6.201681</td>\n",
-       "      <td>-1.959012</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>-4</th>\n",
-       "      <td>-3.972220</td>\n",
-       "      <td>1.106781</td>\n",
-       "      <td>-3.588985</td>\n",
-       "      <td>3.319678e-04</td>\n",
-       "      <td>-6.141471</td>\n",
-       "      <td>-1.802969</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>-3</th>\n",
-       "      <td>-6.289177</td>\n",
-       "      <td>1.103977</td>\n",
-       "      <td>-5.696839</td>\n",
-       "      <td>1.220494e-08</td>\n",
-       "      <td>-8.452931</td>\n",
-       "      <td>-4.125422</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>-2</th>\n",
-       "      <td>-6.490823</td>\n",
-       "      <td>0.965235</td>\n",
-       "      <td>-6.724601</td>\n",
-       "      <td>1.760747e-11</td>\n",
-       "      <td>-8.382650</td>\n",
-       "      <td>-4.598997</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>0</th>\n",
-       "      <td>-4.155830</td>\n",
-       "      <td>0.684287</td>\n",
-       "      <td>-6.073228</td>\n",
-       "      <td>1.253646e-09</td>\n",
-       "      <td>-5.497007</td>\n",
-       "      <td>-2.814652</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>1</th>\n",
-       "      <td>0.995493</td>\n",
-       "      <td>0.873086</td>\n",
-       "      <td>1.140200</td>\n",
-       "      <td>2.542031e-01</td>\n",
-       "      <td>-0.715725</td>\n",
-       "      <td>2.706710</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>2</th>\n",
-       "      <td>0.345642</td>\n",
-       "      <td>1.016629</td>\n",
-       "      <td>0.339988</td>\n",
-       "      <td>7.338657e-01</td>\n",
-       "      <td>-1.646915</td>\n",
-       "      <td>2.338199</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>3</th>\n",
-       "      <td>1.859629</td>\n",
-       "      <td>1.032120</td>\n",
-       "      <td>1.801756</td>\n",
-       "      <td>7.158380e-02</td>\n",
-       "      <td>-0.163290</td>\n",
-       "      <td>3.882548</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>4</th>\n",
-       "      <td>6.899893</td>\n",
-       "      <td>1.000331</td>\n",
-       "      <td>6.897612</td>\n",
-       "      <td>5.288436e-12</td>\n",
-       "      <td>4.939281</td>\n",
-       "      <td>8.860504</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>5</th>\n",
-       "      <td>9.578089</td>\n",
-       "      <td>1.067022</td>\n",
-       "      <td>8.976468</td>\n",
-       "      <td>0.000000e+00</td>\n",
-       "      <td>7.486764</td>\n",
-       "      <td>11.669413</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>6</th>\n",
-       "      <td>13.382329</td>\n",
-       "      <td>1.203794</td>\n",
-       "      <td>11.116791</td>\n",
-       "      <td>0.000000e+00</td>\n",
-       "      <td>11.022936</td>\n",
-       "      <td>15.741723</td>\n",
-       "    </tr>\n",
-       "    <tr>\n",
-       "      <th>7</th>\n",
-       "      <td>27.039997</td>\n",
-       "      <td>1.365123</td>\n",
-       "      <td>19.807740</td>\n",
-       "      <td>0.000000e+00</td>\n",
-       "      <td>24.364406</td>\n",
-       "      <td>29.715589</td>\n",
-       "    </tr>\n",
-       "  </tbody>\n",
-       "</table>\n",
-       "</div>"
-      ],
-      "text/plain": [
-       "           parameter  std_error     t_stat       p_value      lower      upper\n",
-       "Intercept   3.393059   0.522830   6.489798  8.595147e-11   2.368332   4.417787\n",
-       "-6         -2.154907   0.972402  -2.216067  2.668692e-02  -4.060780  -0.249035\n",
-       "-5         -4.080347   1.082333  -3.769953  1.632780e-04  -6.201681  -1.959012\n",
-       "-4         -3.972220   1.106781  -3.588985  3.319678e-04  -6.141471  -1.802969\n",
-       "-3         -6.289177   1.103977  -5.696839  1.220494e-08  -8.452931  -4.125422\n",
-       "-2         -6.490823   0.965235  -6.724601  1.760747e-11  -8.382650  -4.598997\n",
-       "0          -4.155830   0.684287  -6.073228  1.253646e-09  -5.497007  -2.814652\n",
-       "1           0.995493   0.873086   1.140200  2.542031e-01  -0.715725   2.706710\n",
-       "2           0.345642   1.016629   0.339988  7.338657e-01  -1.646915   2.338199\n",
-       "3           1.859629   1.032120   1.801756  7.158380e-02  -0.163290   3.882548\n",
-       "4           6.899893   1.000331   6.897612  5.288436e-12   4.939281   8.860504\n",
-       "5           9.578089   1.067022   8.976468  0.000000e+00   7.486764  11.669413\n",
-       "6          13.382329   1.203794  11.116791  0.000000e+00  11.022936  15.741723\n",
-       "7          27.039997   1.365123  19.807740  0.000000e+00  24.364406  29.715589"
-      ]
-     },
-     "execution_count": 4,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "twfe.fit(\n",
-    "    formula=\"y\",\n",
-    "    cluster_names=\"entity\",\n",
-    ")"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 5,
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/html": [
-       "\n",
-       "<div id=\"altair-viz-7cdfe075e2964e198cac2ce9c88e9b5a\"></div>\n",
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-       "    let outputDiv = document.currentScript.previousElementSibling;\n",
-       "    if (outputDiv.id !== \"altair-viz-7cdfe075e2964e198cac2ce9c88e9b5a\") {\n",
-       "      outputDiv = document.getElementById(\"altair-viz-7cdfe075e2964e198cac2ce9c88e9b5a\");\n",
-       "    }\n",
-       "    const paths = {\n",
-       "      \"vega\": \"https://cdn.jsdelivr.net/npm//vega@5?noext\",\n",
-       "      \"vega-lib\": \"https://cdn.jsdelivr.net/npm//vega-lib?noext\",\n",
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-       "      \"vega-embed\": \"https://cdn.jsdelivr.net/npm//vega-embed@6?noext\",\n",
-       "    };\n",
-       "\n",
-       "    function maybeLoadScript(lib, version) {\n",
-       "      var key = `${lib.replace(\"-\", \"\")}_version`;\n",
-       "      return (VEGA_DEBUG[key] == version) ?\n",
-       "        Promise.resolve(paths[lib]) :\n",
-       "        new Promise(function(resolve, reject) {\n",
-       "          var s = document.createElement('script');\n",
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-       "          s.async = true;\n",
-       "          s.onload = () => {\n",
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-       "          s.src = paths[lib];\n",
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-       "    function showError(err) {\n",
-       "      outputDiv.innerHTML = `<div class=\"error\" style=\"color:red;\">${err}</div>`;\n",
-       "      throw err;\n",
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-       "    function displayChart(vegaEmbed) {\n",
-       "      vegaEmbed(outputDiv, spec, embedOpt)\n",
-       "        .catch(err => showError(`Javascript Error: ${err.message}<br>This usually means there's a typo in your chart specification. See the javascript console for the full traceback.`));\n",
-       "    }\n",
-       "\n",
-       "    if(typeof define === \"function\" && define.amd) {\n",
-       "      requirejs.config({paths});\n",
-       "      require([\"vega-embed\"], displayChart, err => showError(`Error loading script: ${err.message}`));\n",
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-       "      maybeLoadScript(\"vega\", \"5\")\n",
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-       "        .then(() => maybeLoadScript(\"vega-embed\", \"6\"))\n",
-       "        .catch(showError)\n",
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-       "</script>"
-      ],
-      "text/plain": [
-       "alt.HConcatChart(...)"
-      ]
-     },
-     "execution_count": 5,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "twfe.plot()"
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- ],
- "metadata": {
-  "kernelspec": {
-   "display_name": "test-differences-py38",
-   "language": "python",
-   "name": "test-differences-py38"
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-  "language_info": {
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-    "name": "ipython",
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diff --git a/examples/attgt.ipynb b/notebooks/v0-1/attgt.ipynb
similarity index 100%
rename from examples/attgt.ipynb
rename to notebooks/v0-1/attgt.ipynb
diff --git a/poetry.lock b/poetry.lock
deleted file mode 100644
index 3ef1f9f..0000000
--- a/poetry.lock
+++ /dev/null
@@ -1,3107 +0,0 @@
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-    {file = "zipp-3.11.0-py3-none-any.whl", hash = "sha256:83a28fcb75844b5c0cdaf5aa4003c2d728c77e05f5aeabe8e95e56727005fbaa"},
-    {file = "zipp-3.11.0.tar.gz", hash = "sha256:a7a22e05929290a67401440b39690ae6563279bced5f314609d9d03798f56766"},
-]
diff --git a/pyproject.toml b/pyproject-OLD.toml
similarity index 100%
rename from pyproject.toml
rename to pyproject-OLD.toml
diff --git a/differences/__init__.py b/src/differences/__init__.py
similarity index 100%
rename from differences/__init__.py
rename to src/differences/__init__.py
diff --git a/differences/attgt/__init__.py b/src/differences/attgt/__init__.py
similarity index 100%
rename from differences/attgt/__init__.py
rename to src/differences/attgt/__init__.py
diff --git a/differences/attgt/aggregate.py b/src/differences/attgt/aggregate.py
similarity index 100%
rename from differences/attgt/aggregate.py
rename to src/differences/attgt/aggregate.py
diff --git a/differences/attgt/attgt.py b/src/differences/attgt/attgt.py
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rename from differences/attgt/attgt.py
rename to src/differences/attgt/attgt.py
diff --git a/differences/attgt/attgt_cal.py b/src/differences/attgt/attgt_cal.py
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rename from differences/attgt/attgt_cal.py
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diff --git a/differences/attgt/difference.py b/src/differences/attgt/difference.py
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rename to src/differences/attgt/difference.py
diff --git a/differences/attgt/mboot.py b/src/differences/attgt/mboot.py
similarity index 100%
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rename to src/differences/attgt/mboot.py
diff --git a/differences/attgt/plot.py b/src/differences/attgt/plot.py
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rename to src/differences/attgt/plot.py
diff --git a/differences/attgt/utility.py b/src/differences/attgt/utility.py
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diff --git a/differences/datasets/__init__.py b/src/differences/datasets/__init__.py
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diff --git a/differences/datasets/generate_data.py b/src/differences/datasets/generate_data.py
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rename to src/differences/datasets/generate_data.py
diff --git a/differences/datasets/load_data.py b/src/differences/datasets/load_data.py
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rename to src/differences/datasets/load_data.py
diff --git a/differences/datasets/me.csv b/src/differences/datasets/me.csv
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diff --git a/differences/datasets/mpdta.csv b/src/differences/datasets/mpdta.csv
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diff --git a/differences/datasets/rcs-multi_period.csv b/src/differences/datasets/rcs-multi_period.csv
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diff --git a/differences/datasets/rcs-two_periods.csv b/src/differences/datasets/rcs-two_periods.csv
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diff --git a/differences/datasets/se.csv b/src/differences/datasets/se.csv
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diff --git a/differences/did/__init__.py b/src/differences/did/__init__.py
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diff --git a/differences/did/att_if.py b/src/differences/did/att_if.py
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diff --git a/differences/did/did_cal.py b/src/differences/did/did_cal.py
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diff --git a/differences/did/double_ml.py b/src/differences/did/double_ml.py
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diff --git a/differences/did/pscore_cal.py b/src/differences/did/pscore_cal.py
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diff --git a/differences/did/utility.py b/src/differences/did/utility.py
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diff --git a/differences/tests/__init__.py b/src/differences/tools/__init__.py
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diff --git a/differences/tools/__init__.py b/src/differences/tools/feols/__init__.py
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diff --git a/differences/tools/feols/ols.py b/src/differences/tools/feols/ols.py
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diff --git a/differences/tools/panel_utility.py b/src/differences/tools/panel_utility.py
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diff --git a/differences/tools/panel_validation.py b/src/differences/tools/panel_validation.py
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diff --git a/differences/tools/relative_periods.py b/src/differences/tools/relative_periods.py
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diff --git a/differences/tools/utility.py b/src/differences/tools/utility.py
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diff --git a/differences/twfe/__init__.py b/src/differences/twfe/__init__.py
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diff --git a/differences/twfe/plot.py b/src/differences/twfe/plot.py
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rename to src/differences/twfe/plot.py
diff --git a/differences/twfe/twfe.py b/src/differences/twfe/twfe.py
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diff --git a/differences/twfe/utility.py b/src/differences/twfe/utility.py
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diff --git a/tox.ini b/tox.ini
deleted file mode 100644
index 1faebe2..0000000
--- a/tox.ini
+++ /dev/null
@@ -1,9 +0,0 @@
-[tox]
-isolated_build = True
-envlist = py38,py39,py310,py311
-
-[testenv]
-deps =
-    -r requirements-dev.txt
-commands =
-    pytest differences/tests