eda.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "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>session_id</th>\n",
       "      <th>product_name</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>000ed966131fcb96e0efc4ff2b716a3e</td>\n",
       "      <td>beetroot</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>000ed966131fcb96e0efc4ff2b716a3e</td>\n",
       "      <td>cucumber</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0013eab657eaf2d82d7f1e13023d95c2</td>\n",
       "      <td>onion</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0013eab657eaf2d82d7f1e13023d95c2</td>\n",
       "      <td>long shelf life milk</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0013fabde1e543dd541be925266aadbc</td>\n",
       "      <td>dates</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                         session_id          product_name\n",
       "0  000ed966131fcb96e0efc4ff2b716a3e              beetroot\n",
       "1  000ed966131fcb96e0efc4ff2b716a3e              cucumber\n",
       "2  0013eab657eaf2d82d7f1e13023d95c2                 onion\n",
       "3  0013eab657eaf2d82d7f1e13023d95c2  long shelf life milk\n",
       "4  0013fabde1e543dd541be925266aadbc                 dates"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Importing necessary libraries\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "\n",
    "# For market basket analysis\n",
    "from mlxtend.frequent_patterns import apriori, association_rules\n",
    "\n",
    "# Import the data\n",
    "data = pd.read_csv('data/session_data.csv')\n",
    "\n",
    "# Display the first few rows of the data\n",
    "data.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 345152 entries, 0 to 345151\n",
      "Data columns (total 2 columns):\n",
      " #   Column        Non-Null Count   Dtype \n",
      "---  ------        --------------   ----- \n",
      " 0   session_id    345152 non-null  object\n",
      " 1   product_name  345152 non-null  object\n",
      "dtypes: object(2)\n",
      "memory usage: 5.3+ MB\n",
      "None\n",
      "                              session_id product_name\n",
      "count                             345152       345152\n",
      "unique                            165335          396\n",
      "top     27d86d946e6ea6d022f12211d61f8ac7        onion\n",
      "freq                                   9        31196\n"
     ]
    }
   ],
   "source": [
    "# Basic EDA\n",
    "print(data.info())\n",
    "print(data.describe())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
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      "text/plain": [
       "<Figure size 1200x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plotting the frequency of each product\n",
    "product_counts = data.groupby(['product_name']).count()['session_id'].values\n",
    "\n",
    "# Set up the plot\n",
    "plt.figure(figsize=(12, 8))\n",
    "sns.set_style(\"whitegrid\")\n",
    "\n",
    "plt.yticks(fontsize=14)\n",
    "plt.xticks(fontsize=14)\n",
    "\n",
    "# Plot the product counts\n",
    "plt.semilogy(sorted(product_counts))\n",
    "plt.title(\"Product Popularity Distribution\", fontsize=18, fontweight='bold')\n",
    "plt.ylabel(\"Product counts (log scale)\", fontsize=16);\n",
    "plt.xlabel(\"Product index\", fontsize=16);\n",
    "\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plotting the frequency of the top 10 products\n",
    "product_counts = data['product_name'].value_counts().head(10)\n",
    "\n",
    "# Set up the plot\n",
    "plt.figure(figsize=(12, 8))\n",
    "sns.set_style(\"whitegrid\")\n",
    "\n",
    "# Create the bar plot\n",
    "bar_plot = sns.barplot(x=product_counts.index, y=product_counts.values, palette=\"viridis\")\n",
    "\n",
    "# Add labels to the bars\n",
    "for i in bar_plot.containers:\n",
    "    bar_plot.bar_label(i, fmt='%d', padding=5, fontsize=12)\n",
    "\n",
    "# Set plot labels and title\n",
    "plt.xlabel('Products', fontsize=14)\n",
    "plt.ylabel('Frequency', fontsize=14)\n",
    "plt.title('Top 10 Most Frequent Products', fontsize=18, fontweight='bold')\n",
    "plt.xticks(rotation=45, ha='right', fontsize=12)\n",
    "\n",
    "# Customize the plot further (e.g., removing the top and right spines)\n",
    "sns.despine()\n",
    "\n",
    "# Show the plot\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "c:\\Python311\\Lib\\site-packages\\mlxtend\\frequent_patterns\\fpcommon.py:109: DeprecationWarning: DataFrames with non-bool types result in worse computationalperformance and their support might be discontinued in the future.Please use a DataFrame with bool type\n",
      "  warnings.warn(\n"
     ]
    },
    {
     "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>antecedents</th>\n",
       "      <th>consequents</th>\n",
       "      <th>antecedent support</th>\n",
       "      <th>consequent support</th>\n",
       "      <th>support</th>\n",
       "      <th>confidence</th>\n",
       "      <th>lift</th>\n",
       "      <th>leverage</th>\n",
       "      <th>conviction</th>\n",
       "      <th>zhangs_metric</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>(beetroot)</td>\n",
       "      <td>(cucumber)</td>\n",
       "      <td>0.103287</td>\n",
       "      <td>0.115420</td>\n",
       "      <td>0.051985</td>\n",
       "      <td>0.503309</td>\n",
       "      <td>4.360662</td>\n",
       "      <td>0.040064</td>\n",
       "      <td>1.780944</td>\n",
       "      <td>0.859447</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>(long shelf life milk)</td>\n",
       "      <td>(onion)</td>\n",
       "      <td>0.062515</td>\n",
       "      <td>0.188684</td>\n",
       "      <td>0.030647</td>\n",
       "      <td>0.490228</td>\n",
       "      <td>2.598150</td>\n",
       "      <td>0.018851</td>\n",
       "      <td>1.591529</td>\n",
       "      <td>0.656129</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>(cucumber)</td>\n",
       "      <td>(beetroot)</td>\n",
       "      <td>0.115420</td>\n",
       "      <td>0.103287</td>\n",
       "      <td>0.051985</td>\n",
       "      <td>0.450401</td>\n",
       "      <td>4.360662</td>\n",
       "      <td>0.040064</td>\n",
       "      <td>1.631576</td>\n",
       "      <td>0.871235</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>(tender coconut)</td>\n",
       "      <td>(onion)</td>\n",
       "      <td>0.055372</td>\n",
       "      <td>0.188684</td>\n",
       "      <td>0.021883</td>\n",
       "      <td>0.395194</td>\n",
       "      <td>2.094479</td>\n",
       "      <td>0.011435</td>\n",
       "      <td>1.341449</td>\n",
       "      <td>0.553186</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>(watermelon)</td>\n",
       "      <td>(cucumber)</td>\n",
       "      <td>0.029389</td>\n",
       "      <td>0.115420</td>\n",
       "      <td>0.011462</td>\n",
       "      <td>0.389998</td>\n",
       "      <td>3.378940</td>\n",
       "      <td>0.008070</td>\n",
       "      <td>1.450126</td>\n",
       "      <td>0.725367</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "               antecedents consequents  antecedent support  \\\n",
       "3               (beetroot)  (cucumber)            0.103287   \n",
       "25  (long shelf life milk)     (onion)            0.062515   \n",
       "2               (cucumber)  (beetroot)            0.115420   \n",
       "26        (tender coconut)     (onion)            0.055372   \n",
       "16            (watermelon)  (cucumber)            0.029389   \n",
       "\n",
       "    consequent support   support  confidence      lift  leverage  conviction  \\\n",
       "3             0.115420  0.051985    0.503309  4.360662  0.040064    1.780944   \n",
       "25            0.188684  0.030647    0.490228  2.598150  0.018851    1.591529   \n",
       "2             0.103287  0.051985    0.450401  4.360662  0.040064    1.631576   \n",
       "26            0.188684  0.021883    0.395194  2.094479  0.011435    1.341449   \n",
       "16            0.115420  0.011462    0.389998  3.378940  0.008070    1.450126   \n",
       "\n",
       "    zhangs_metric  \n",
       "3        0.859447  \n",
       "25       0.656129  \n",
       "2        0.871235  \n",
       "26       0.553186  \n",
       "16       0.725367  "
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Market Basket Analysis (Predictive)\n",
    "basket = (data.groupby(['session_id', 'product_name'])['product_name']\n",
    "          .count().unstack().reset_index().fillna(0)\n",
    "          .set_index('session_id'))\n",
    "\n",
    "# Convert the data into a one-hot encoded format\n",
    "def encode_units(x):\n",
    "    return 0 if x <= 0 else 1\n",
    "\n",
    "basket_sets = basket.applymap(encode_units)\n",
    "\n",
    "# Apply the Apriori algorithm\n",
    "frequent_itemsets = apriori(basket_sets, min_support=0.01, use_colnames=True)\n",
    "\n",
    "# Generate the rules\n",
    "rules = association_rules(frequent_itemsets, metric='lift', min_threshold=1.0)\n",
    "rules = rules.sort_values(['confidence', 'lift'], ascending=[False, False])\n",
    "rules.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x800 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Support vs. Confidence\n",
    "plt.figure(figsize=(12, 8))\n",
    "plt.scatter(rules['support'], rules['confidence'], alpha=0.6, c=rules['lift'], cmap='viridis')\n",
    "plt.colorbar(label='Lift')\n",
    "plt.xlabel('Support', fontsize=14)\n",
    "plt.ylabel('Confidence', fontsize=14)\n",
    "plt.title('Support vs. Confidence', fontsize=18, fontweight='bold')\n",
    "plt.grid(True)\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Lift Distribution\n",
    "plt.figure(figsize=(12, 8))\n",
    "plt.hist(rules['lift'], bins=10, color='skyblue', edgecolor='black')\n",
    "plt.xlabel('Lift', fontsize=14)\n",
    "plt.ylabel('Frequency', fontsize=14)\n",
    "plt.title('Lift Distribution', fontsize=18, fontweight='bold')\n",
    "plt.grid(True)\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Antecedents and Consequents Bar Plot\n",
    "# Count the frequency of antecedents and consequents\n",
    "antecedent_counts = rules['antecedents'].value_counts()\n",
    "consequent_counts = rules['consequents'].value_counts()\n",
    "\n",
    "# Plot antecedents\n",
    "plt.figure(figsize=(12, 8))\n",
    "antecedent_counts.plot(kind='bar', color='lightcoral')\n",
    "plt.xlabel('Antecedents', fontsize=14)\n",
    "plt.ylabel('Frequency', fontsize=14)\n",
    "plt.title('Frequency of Antecedents in Rules', fontsize=18, fontweight='bold')\n",
    "plt.xticks(rotation=45, ha='right', fontsize=12)\n",
    "plt.grid(True, axis='y')\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "# Plot consequents\n",
    "plt.figure(figsize=(12, 8))\n",
    "consequent_counts.plot(kind='bar', color='lightseagreen')\n",
    "plt.xlabel('Consequents', fontsize=14)\n",
    "plt.ylabel('Frequency', fontsize=14)\n",
    "plt.title('Frequency of Consequents in Rules', fontsize=18, fontweight='bold')\n",
    "plt.xticks(rotation=45, ha='right', fontsize=12)\n",
    "plt.grid(True, axis='y')\n",
    "plt.tight_layout()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Average cart length: 2.09\n"
     ]
    }
   ],
   "source": [
    "# Average cart length\n",
    "average_cart_length = basket_sets.sum(axis=1).mean()\n",
    "print(f\"Average cart length: {average_cart_length:.2f}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Cart Length Distribution\n",
    "plt.figure(figsize=(12, 8))\n",
    "plt.hist(basket_sets.sum(axis=1), bins=20, color='darkorange', edgecolor='black')\n",
    "plt.xlabel('Cart Length', fontsize=14)\n",
    "plt.ylabel('Frequency', fontsize=14)\n",
    "plt.title('Cart Length Distribution', fontsize=18, fontweight='bold')\n",
    "plt.grid(True)\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "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": "3.11.0"
  }
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