BF550_Project1_Spirgel.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "# do imports\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import scipy.stats as sps\n",
    "import pandas as pd\n",
    "import seaborn as sns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [],
   "source": [
    "#data import\n",
    "df = pd.read_excel('tomato_metabolites.xlsx') #metabolite data table\n",
    "metab_list = df.columns[2:]             #list of metabolites\n",
    "df_variants = pd.read_excel('tomato_varieties.xlsx') #tomato accession with group\n",
    "df_variants = df_variants[['Individual code', 'Group']]\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {},
   "outputs": [],
   "source": [
    "#create number ID for accession\n",
    "df['Accession ID'] = df['Accessions'].str[3:].astype(int)\n",
    "\n",
    "#separate by rep\n",
    "df_rep1 = df[df['Replicate'] == 1] \n",
    "df_rep2 = df[df['Replicate'] == 2]\n",
    "\n",
    "#add group information to separated tables\n",
    "df_final = df_variants.merge(df, right_on = 'Accessions', left_on = 'Individual code')\n",
    "df_final1 = df_variants.merge(df_rep1, right_on = 'Accessions', left_on = 'Individual code')\n",
    "df_final2 = df_variants.merge(df_rep2, right_on = 'Accessions', left_on = 'Individual code')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Coefficient of variation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1.2175842161177635\n",
      "1.3574629338061694\n",
      "1.4204847074447586\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Coefficient of variation for each metabolite across each group:\n",
    "\n",
    "data = []\n",
    "groups = ['PIM', 'CER', 'BIG']\n",
    "for x in groups:\n",
    "    mean = np.mean(df_final[df_final['Group'] == x])\n",
    "    stdev = np.std(df_final[df_final['Group'] == x])\n",
    "    data.append(stdev/mean)\n",
    "plt.figure(figsize = (6, 4))\n",
    "plt.boxplot(data)\n",
    "plt.xticks([1, 2, 3], groups)\n",
    "plt.ylim(-0.5, 4.5)\n",
    "plt.ylabel('Coefficient of variation')\n",
    "for x in data:\n",
    "    print(np.mean(x))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Log2 transformation "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {},
   "outputs": [],
   "source": [
    "rep1_logged = np.log2(df_rep1.iloc[:, 2:982])\n",
    "rep2_logged = np.log2(df_rep2.iloc[:, 2:982])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 107,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'post-log-transformation, SlFM0007')"
      ]
     },
     "execution_count": 107,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1, 2, figsize = (10, 5))\n",
    "ax[0].plot([0, 10**7], [0, 10**7], c = 'r')\n",
    "ax[0].scatter(df_rep1.iloc[:, 2:]['SlFM0007'], df_rep2.iloc[:, 2:]['SlFM0007'])\n",
    "ax[0].set_xlabel('Replicate 1')\n",
    "ax[0].set_ylabel('Replicate 2')\n",
    "ax[0].set_title('pre-log-transformation, SlFM0007')\n",
    "\n",
    "ax[1].plot([10, 30], [10, 30], c = 'r')\n",
    "ax[1].scatter(np.log2(df_rep1.iloc[:, 2:]['SlFM0007']), np.log2(df_rep2.iloc[:, 2:]['SlFM0007']))\n",
    "ax[1].set_xlabel('Replicate 1')\n",
    "ax[1].set_ylabel('Replicate 2')\n",
    "ax[1].set_title('post-log-transformation, SlFM0007')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 108,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'post-log-transformation, SlFM1194')"
      ]
     },
     "execution_count": 108,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1, 2, figsize = (10, 5))\n",
    "\n",
    "ax[0].plot([0, 10**6], [0, 10**6], c = 'r')\n",
    "ax[0].scatter(df_rep1.iloc[:, 2:]['SlFM1194'], df_rep2.iloc[:, 2:]['SlFM1194'])\n",
    "ax[0].set_xlabel('Replicate 1')\n",
    "ax[0].set_ylabel('Replicate 2')\n",
    "ax[0].set_title('pre-log-transformation, SlFM1194')\n",
    "\n",
    "ax[1].plot([0, 30], [0, 30], c = 'r')\n",
    "ax[1].scatter(np.log2(df_rep1.iloc[:, 2:]['SlFM1194']), np.log2(df_rep2.iloc[:, 2:]['SlFM1194']))\n",
    "ax[1].set_xlabel('Replicate 1')\n",
    "ax[1].set_ylabel('Replicate 2')\n",
    "ax[1].set_title('post-log-transformation, SlFM1194')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Missing data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "5999 / 433160 1.38\n",
      "10024 / 433160 2.31\n"
     ]
    }
   ],
   "source": [
    "#percentage missing data\n",
    "print(rep1_logged.isnull().values.sum(), '/', rep1_logged.size, '{0:.2f}'.format(rep1_logged.isnull().values.sum()/rep1_logged.size*100))\n",
    "print(rep2_logged.isnull().values.sum(), '/', rep2_logged.size, '{0:.2f}'.format(rep2_logged.isnull().values.sum()/rep2_logged.size*100))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "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>Accessions</th>\n",
       "      <th>Replicate</th>\n",
       "      <th>SlFM0001</th>\n",
       "      <th>SlFM0002</th>\n",
       "      <th>SlFM0003</th>\n",
       "      <th>SlFM0004</th>\n",
       "      <th>SlFM0006</th>\n",
       "      <th>SlFM0007</th>\n",
       "      <th>SlFM0008</th>\n",
       "      <th>SlFM0009</th>\n",
       "      <th>...</th>\n",
       "      <th>SlFM1994</th>\n",
       "      <th>SlFM1995</th>\n",
       "      <th>SlFM1996</th>\n",
       "      <th>SlFM1997</th>\n",
       "      <th>SlFM1998</th>\n",
       "      <th>SlFM1999</th>\n",
       "      <th>SlFM2000</th>\n",
       "      <th>Accession ID</th>\n",
       "      <th>Individual code</th>\n",
       "      <th>Group</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>TS-1</td>\n",
       "      <td>1</td>\n",
       "      <td>27272.2500</td>\n",
       "      <td>7524.2000</td>\n",
       "      <td>9907.5500</td>\n",
       "      <td>52315.5500</td>\n",
       "      <td>184169.6502</td>\n",
       "      <td>469608.0716</td>\n",
       "      <td>118913.1213</td>\n",
       "      <td>13682.9000</td>\n",
       "      <td>...</td>\n",
       "      <td>80612.2997</td>\n",
       "      <td>NaN</td>\n",
       "      <td>48292.7999</td>\n",
       "      <td>20794.9000</td>\n",
       "      <td>3465.6500</td>\n",
       "      <td>85502.7499</td>\n",
       "      <td>6.060375e+05</td>\n",
       "      <td>1</td>\n",
       "      <td>TS-1</td>\n",
       "      <td>BIG</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>TS-2</td>\n",
       "      <td>1</td>\n",
       "      <td>6410.8000</td>\n",
       "      <td>8084.8000</td>\n",
       "      <td>11651.0000</td>\n",
       "      <td>13935.6500</td>\n",
       "      <td>224168.1084</td>\n",
       "      <td>376843.8492</td>\n",
       "      <td>54469.3201</td>\n",
       "      <td>6210.2500</td>\n",
       "      <td>...</td>\n",
       "      <td>13982.2500</td>\n",
       "      <td>NaN</td>\n",
       "      <td>35917.8999</td>\n",
       "      <td>19905.3500</td>\n",
       "      <td>3201.3000</td>\n",
       "      <td>95892.0000</td>\n",
       "      <td>5.537594e+05</td>\n",
       "      <td>2</td>\n",
       "      <td>TS-2</td>\n",
       "      <td>BIG</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>TS-3</td>\n",
       "      <td>1</td>\n",
       "      <td>4304.3000</td>\n",
       "      <td>8592.4500</td>\n",
       "      <td>1583.8500</td>\n",
       "      <td>3226.0000</td>\n",
       "      <td>186806.5001</td>\n",
       "      <td>268954.7998</td>\n",
       "      <td>29407.7134</td>\n",
       "      <td>4134.8000</td>\n",
       "      <td>...</td>\n",
       "      <td>28321.3999</td>\n",
       "      <td>NaN</td>\n",
       "      <td>63002.5499</td>\n",
       "      <td>38525.7499</td>\n",
       "      <td>3197.0000</td>\n",
       "      <td>89135.5502</td>\n",
       "      <td>6.466950e+05</td>\n",
       "      <td>3</td>\n",
       "      <td>TS-3</td>\n",
       "      <td>BIG</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>TS-4</td>\n",
       "      <td>1</td>\n",
       "      <td>24844.8500</td>\n",
       "      <td>9163.8000</td>\n",
       "      <td>5471.4500</td>\n",
       "      <td>23689.1000</td>\n",
       "      <td>461896.9999</td>\n",
       "      <td>425660.4489</td>\n",
       "      <td>169292.5499</td>\n",
       "      <td>5215.1000</td>\n",
       "      <td>...</td>\n",
       "      <td>24752.0000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>56587.8498</td>\n",
       "      <td>27110.5000</td>\n",
       "      <td>4263.3500</td>\n",
       "      <td>103855.9999</td>\n",
       "      <td>6.140405e+05</td>\n",
       "      <td>4</td>\n",
       "      <td>TS-4</td>\n",
       "      <td>BIG</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>TS-5</td>\n",
       "      <td>1</td>\n",
       "      <td>9819.7500</td>\n",
       "      <td>8602.2000</td>\n",
       "      <td>10360.5000</td>\n",
       "      <td>6516.4500</td>\n",
       "      <td>187771.8005</td>\n",
       "      <td>231472.4006</td>\n",
       "      <td>67163.1000</td>\n",
       "      <td>7501.8000</td>\n",
       "      <td>...</td>\n",
       "      <td>17261.8500</td>\n",
       "      <td>NaN</td>\n",
       "      <td>16576.7500</td>\n",
       "      <td>11827.1000</td>\n",
       "      <td>2663.3000</td>\n",
       "      <td>42785.6501</td>\n",
       "      <td>2.820534e+05</td>\n",
       "      <td>5</td>\n",
       "      <td>TS-5</td>\n",
       "      <td>BIG</td>\n",
       "    </tr>\n",
       "    <tr>\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",
       "      <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",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>875</th>\n",
       "      <td>TS-700</td>\n",
       "      <td>2</td>\n",
       "      <td>1024.1339</td>\n",
       "      <td>15674.8370</td>\n",
       "      <td>6543.4744</td>\n",
       "      <td>713.4160</td>\n",
       "      <td>25263.0431</td>\n",
       "      <td>232780.1655</td>\n",
       "      <td>165998.1203</td>\n",
       "      <td>32565.1276</td>\n",
       "      <td>...</td>\n",
       "      <td>3478.3260</td>\n",
       "      <td>NaN</td>\n",
       "      <td>60267.8250</td>\n",
       "      <td>7698.0752</td>\n",
       "      <td>2447.5941</td>\n",
       "      <td>56833.4006</td>\n",
       "      <td>6.828172e+05</td>\n",
       "      <td>700</td>\n",
       "      <td>TS-700</td>\n",
       "      <td>BIG</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>877</th>\n",
       "      <td>TS-701</td>\n",
       "      <td>2</td>\n",
       "      <td>1416.6685</td>\n",
       "      <td>6980.8179</td>\n",
       "      <td>2810.4091</td>\n",
       "      <td>537.1689</td>\n",
       "      <td>31818.4051</td>\n",
       "      <td>133001.0565</td>\n",
       "      <td>71476.1923</td>\n",
       "      <td>10509.2662</td>\n",
       "      <td>...</td>\n",
       "      <td>112663.5656</td>\n",
       "      <td>702.6445</td>\n",
       "      <td>800452.6841</td>\n",
       "      <td>200847.3457</td>\n",
       "      <td>9465.2746</td>\n",
       "      <td>650659.5221</td>\n",
       "      <td>1.000871e+06</td>\n",
       "      <td>701</td>\n",
       "      <td>TS-701</td>\n",
       "      <td>PIM</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>879</th>\n",
       "      <td>TS-702</td>\n",
       "      <td>2</td>\n",
       "      <td>438.0220</td>\n",
       "      <td>3787.6969</td>\n",
       "      <td>2214.4227</td>\n",
       "      <td>1923.8061</td>\n",
       "      <td>19143.4676</td>\n",
       "      <td>173469.9317</td>\n",
       "      <td>235927.9554</td>\n",
       "      <td>24402.5192</td>\n",
       "      <td>...</td>\n",
       "      <td>79619.9337</td>\n",
       "      <td>NaN</td>\n",
       "      <td>709818.6868</td>\n",
       "      <td>181926.3852</td>\n",
       "      <td>5936.2610</td>\n",
       "      <td>522218.5972</td>\n",
       "      <td>1.341707e+06</td>\n",
       "      <td>702</td>\n",
       "      <td>TS-702</td>\n",
       "      <td>CER</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>881</th>\n",
       "      <td>TS-731</td>\n",
       "      <td>2</td>\n",
       "      <td>NaN</td>\n",
       "      <td>15128.7994</td>\n",
       "      <td>NaN</td>\n",
       "      <td>673.8754</td>\n",
       "      <td>18180.2009</td>\n",
       "      <td>203976.3198</td>\n",
       "      <td>188506.9148</td>\n",
       "      <td>20064.3304</td>\n",
       "      <td>...</td>\n",
       "      <td>31712.1682</td>\n",
       "      <td>NaN</td>\n",
       "      <td>196670.0640</td>\n",
       "      <td>51841.5966</td>\n",
       "      <td>5889.3047</td>\n",
       "      <td>231417.7052</td>\n",
       "      <td>1.081862e+06</td>\n",
       "      <td>731</td>\n",
       "      <td>TS-731</td>\n",
       "      <td>CER</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>883</th>\n",
       "      <td>TS-739</td>\n",
       "      <td>2</td>\n",
       "      <td>2061.0690</td>\n",
       "      <td>6328.4684</td>\n",
       "      <td>2230.9995</td>\n",
       "      <td>277.2414</td>\n",
       "      <td>18806.0415</td>\n",
       "      <td>197917.3413</td>\n",
       "      <td>272818.0684</td>\n",
       "      <td>28283.8548</td>\n",
       "      <td>...</td>\n",
       "      <td>5244.0558</td>\n",
       "      <td>NaN</td>\n",
       "      <td>115725.9764</td>\n",
       "      <td>28660.0769</td>\n",
       "      <td>705.8536</td>\n",
       "      <td>56438.5237</td>\n",
       "      <td>3.279704e+05</td>\n",
       "      <td>739</td>\n",
       "      <td>TS-739</td>\n",
       "      <td>BIG</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>884 rows × 985 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "    Accessions  Replicate    SlFM0001    SlFM0002    SlFM0003    SlFM0004  \\\n",
       "0         TS-1          1  27272.2500   7524.2000   9907.5500  52315.5500   \n",
       "2         TS-2          1   6410.8000   8084.8000  11651.0000  13935.6500   \n",
       "4         TS-3          1   4304.3000   8592.4500   1583.8500   3226.0000   \n",
       "6         TS-4          1  24844.8500   9163.8000   5471.4500  23689.1000   \n",
       "8         TS-5          1   9819.7500   8602.2000  10360.5000   6516.4500   \n",
       "..         ...        ...         ...         ...         ...         ...   \n",
       "875     TS-700          2   1024.1339  15674.8370   6543.4744    713.4160   \n",
       "877     TS-701          2   1416.6685   6980.8179   2810.4091    537.1689   \n",
       "879     TS-702          2    438.0220   3787.6969   2214.4227   1923.8061   \n",
       "881     TS-731          2         NaN  15128.7994         NaN    673.8754   \n",
       "883     TS-739          2   2061.0690   6328.4684   2230.9995    277.2414   \n",
       "\n",
       "        SlFM0006     SlFM0007     SlFM0008    SlFM0009  ...     SlFM1994  \\\n",
       "0    184169.6502  469608.0716  118913.1213  13682.9000  ...   80612.2997   \n",
       "2    224168.1084  376843.8492   54469.3201   6210.2500  ...   13982.2500   \n",
       "4    186806.5001  268954.7998   29407.7134   4134.8000  ...   28321.3999   \n",
       "6    461896.9999  425660.4489  169292.5499   5215.1000  ...   24752.0000   \n",
       "8    187771.8005  231472.4006   67163.1000   7501.8000  ...   17261.8500   \n",
       "..           ...          ...          ...         ...  ...          ...   \n",
       "875   25263.0431  232780.1655  165998.1203  32565.1276  ...    3478.3260   \n",
       "877   31818.4051  133001.0565   71476.1923  10509.2662  ...  112663.5656   \n",
       "879   19143.4676  173469.9317  235927.9554  24402.5192  ...   79619.9337   \n",
       "881   18180.2009  203976.3198  188506.9148  20064.3304  ...   31712.1682   \n",
       "883   18806.0415  197917.3413  272818.0684  28283.8548  ...    5244.0558   \n",
       "\n",
       "     SlFM1995     SlFM1996     SlFM1997   SlFM1998     SlFM1999      SlFM2000  \\\n",
       "0         NaN   48292.7999   20794.9000  3465.6500   85502.7499  6.060375e+05   \n",
       "2         NaN   35917.8999   19905.3500  3201.3000   95892.0000  5.537594e+05   \n",
       "4         NaN   63002.5499   38525.7499  3197.0000   89135.5502  6.466950e+05   \n",
       "6         NaN   56587.8498   27110.5000  4263.3500  103855.9999  6.140405e+05   \n",
       "8         NaN   16576.7500   11827.1000  2663.3000   42785.6501  2.820534e+05   \n",
       "..        ...          ...          ...        ...          ...           ...   \n",
       "875       NaN   60267.8250    7698.0752  2447.5941   56833.4006  6.828172e+05   \n",
       "877  702.6445  800452.6841  200847.3457  9465.2746  650659.5221  1.000871e+06   \n",
       "879       NaN  709818.6868  181926.3852  5936.2610  522218.5972  1.341707e+06   \n",
       "881       NaN  196670.0640   51841.5966  5889.3047  231417.7052  1.081862e+06   \n",
       "883       NaN  115725.9764   28660.0769   705.8536   56438.5237  3.279704e+05   \n",
       "\n",
       "     Accession ID  Individual code  Group  \n",
       "0               1             TS-1    BIG  \n",
       "2               2             TS-2    BIG  \n",
       "4               3             TS-3    BIG  \n",
       "6               4             TS-4    BIG  \n",
       "8               5             TS-5    BIG  \n",
       "..            ...              ...    ...  \n",
       "875           700           TS-700    BIG  \n",
       "877           701           TS-701    PIM  \n",
       "879           702           TS-702    CER  \n",
       "881           731           TS-731    CER  \n",
       "883           739           TS-739    BIG  \n",
       "\n",
       "[884 rows x 985 columns]"
      ]
     },
     "execution_count": 77,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "all_data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {},
   "outputs": [],
   "source": [
    "#creating full log data table and separate replicated with all data, including group\n",
    "\n",
    "all_data = df.merge(df_variants, left_on = 'Accessions', right_on = 'Individual code').sort_values(by = ['Replicate','Accession ID'])\n",
    "groups = all_data['Group'].iloc[:442]\n",
    "rep1_logged['Group'] = list(groups)\n",
    "rep2_logged['Group'] = list(groups)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/opt/anaconda3/lib/python3.8/site-packages/seaborn/matrix.py:203: RuntimeWarning: All-NaN slice encountered\n",
      "  vmin = np.nanmin(calc_data)\n",
      "/opt/anaconda3/lib/python3.8/site-packages/seaborn/matrix.py:208: RuntimeWarning: All-NaN slice encountered\n",
      "  vmax = np.nanmax(calc_data)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "Text(249.0, 0.5, 'Tomato Sample')"
      ]
     },
     "execution_count": 79,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 2160x720 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#creating heatmap to visualize missing data trends - not sure why the image isn't showing up, it was last time!!)\n",
    "plt.figure(figsize = (30, 10))\n",
    "#adding the dataframes with data converted to int\n",
    "sns.heatmap(rep1_logged.isnull().astype(int)  + rep2_logged.isnull().astype(int), cmap = 'Blues') \n",
    "plt.title('Missing Datapoints')\n",
    "#2 = both missing, 1 = missing in one dataset, 0 = none missing\n",
    "plt.xlabel('Metabolite')\n",
    "plt.ylabel('Tomato Sample')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 2160x720 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 2160x720 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#heatmaps for missing data in individual replicates\n",
    "plt.figure(figsize = (30, 10))\n",
    "sns.heatmap(rep1_logged.isnull(), cmap = 'Blues')\n",
    "plt.title('Missing Datapoints, Replicate 1')\n",
    "plt.xlabel('Metabolite')\n",
    "plt.ylabel('Tomato Sample')\n",
    "plt.show()\n",
    "\n",
    "plt.figure(figsize = (30, 10))\n",
    "sns.heatmap(rep2_logged.isnull(), cmap = 'Blues')\n",
    "plt.title('Missing Datapoints, Replicate 2')\n",
    "plt.xlabel('Metabolite')\n",
    "plt.ylabel('Tomato Sample')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
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       "    }\n",
       "\n",
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       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>SlFM0001</th>\n",
       "      <th>SlFM0002</th>\n",
       "      <th>SlFM0003</th>\n",
       "      <th>SlFM0004</th>\n",
       "      <th>SlFM0006</th>\n",
       "      <th>SlFM0007</th>\n",
       "      <th>SlFM0008</th>\n",
       "      <th>SlFM0009</th>\n",
       "      <th>SlFM0010</th>\n",
       "      <th>SlFM0011</th>\n",
       "      <th>...</th>\n",
       "      <th>SlFM1991</th>\n",
       "      <th>SlFM1992</th>\n",
       "      <th>SlFM1993</th>\n",
       "      <th>SlFM1994</th>\n",
       "      <th>SlFM1995</th>\n",
       "      <th>SlFM1996</th>\n",
       "      <th>SlFM1997</th>\n",
       "      <th>SlFM1998</th>\n",
       "      <th>SlFM1999</th>\n",
       "      <th>SlFM2000</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>10.058664</td>\n",
       "      <td>13.750975</td>\n",
       "      <td>12.047902</td>\n",
       "      <td>9.395965</td>\n",
       "      <td>16.309532</td>\n",
       "      <td>17.930181</td>\n",
       "      <td>16.499409</td>\n",
       "      <td>12.336912</td>\n",
       "      <td>15.646543</td>\n",
       "      <td>16.209047</td>\n",
       "      <td>...</td>\n",
       "      <td>17.821242</td>\n",
       "      <td>14.176604</td>\n",
       "      <td>14.397086</td>\n",
       "      <td>15.430668</td>\n",
       "      <td>8.968836</td>\n",
       "      <td>17.295679</td>\n",
       "      <td>15.404347</td>\n",
       "      <td>11.445918</td>\n",
       "      <td>16.955778</td>\n",
       "      <td>19.669818</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>8.524383</td>\n",
       "      <td>13.776051</td>\n",
       "      <td>10.972566</td>\n",
       "      <td>9.531084</td>\n",
       "      <td>16.112739</td>\n",
       "      <td>18.022671</td>\n",
       "      <td>16.880783</td>\n",
       "      <td>13.871351</td>\n",
       "      <td>16.867821</td>\n",
       "      <td>16.443515</td>\n",
       "      <td>...</td>\n",
       "      <td>14.906582</td>\n",
       "      <td>16.128613</td>\n",
       "      <td>12.706134</td>\n",
       "      <td>13.437172</td>\n",
       "      <td>8.503090</td>\n",
       "      <td>16.539596</td>\n",
       "      <td>14.414086</td>\n",
       "      <td>10.763034</td>\n",
       "      <td>16.978190</td>\n",
       "      <td>19.257916</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>9.606751</td>\n",
       "      <td>13.112625</td>\n",
       "      <td>12.860245</td>\n",
       "      <td>9.060867</td>\n",
       "      <td>15.089158</td>\n",
       "      <td>17.675865</td>\n",
       "      <td>17.270417</td>\n",
       "      <td>14.456873</td>\n",
       "      <td>15.573851</td>\n",
       "      <td>17.312950</td>\n",
       "      <td>...</td>\n",
       "      <td>17.482128</td>\n",
       "      <td>14.610380</td>\n",
       "      <td>13.953224</td>\n",
       "      <td>14.522489</td>\n",
       "      <td>9.001514</td>\n",
       "      <td>16.825113</td>\n",
       "      <td>14.612516</td>\n",
       "      <td>9.951440</td>\n",
       "      <td>16.613222</td>\n",
       "      <td>19.155233</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>8.504534</td>\n",
       "      <td>14.547586</td>\n",
       "      <td>11.352010</td>\n",
       "      <td>8.435099</td>\n",
       "      <td>16.573163</td>\n",
       "      <td>18.292996</td>\n",
       "      <td>16.548557</td>\n",
       "      <td>13.579385</td>\n",
       "      <td>16.904141</td>\n",
       "      <td>16.322960</td>\n",
       "      <td>...</td>\n",
       "      <td>16.555796</td>\n",
       "      <td>16.450170</td>\n",
       "      <td>13.818976</td>\n",
       "      <td>14.303404</td>\n",
       "      <td>8.998081</td>\n",
       "      <td>16.973984</td>\n",
       "      <td>15.291213</td>\n",
       "      <td>11.247105</td>\n",
       "      <td>17.117014</td>\n",
       "      <td>19.321167</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>10.307068</td>\n",
       "      <td>13.543681</td>\n",
       "      <td>11.158748</td>\n",
       "      <td>9.133789</td>\n",
       "      <td>14.607427</td>\n",
       "      <td>17.308733</td>\n",
       "      <td>15.392560</td>\n",
       "      <td>12.658011</td>\n",
       "      <td>14.822407</td>\n",
       "      <td>14.884788</td>\n",
       "      <td>...</td>\n",
       "      <td>13.891677</td>\n",
       "      <td>13.210568</td>\n",
       "      <td>11.835753</td>\n",
       "      <td>13.990747</td>\n",
       "      <td>8.483743</td>\n",
       "      <td>15.971438</td>\n",
       "      <td>13.916914</td>\n",
       "      <td>11.449546</td>\n",
       "      <td>16.079645</td>\n",
       "      <td>18.449926</td>\n",
       "    </tr>\n",
       "    <tr>\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",
       "      <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",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>437</th>\n",
       "      <td>10.000189</td>\n",
       "      <td>13.936163</td>\n",
       "      <td>12.675841</td>\n",
       "      <td>9.478600</td>\n",
       "      <td>14.624741</td>\n",
       "      <td>17.828609</td>\n",
       "      <td>17.340807</td>\n",
       "      <td>14.991040</td>\n",
       "      <td>17.553716</td>\n",
       "      <td>17.398462</td>\n",
       "      <td>...</td>\n",
       "      <td>23.950252</td>\n",
       "      <td>19.822993</td>\n",
       "      <td>18.157413</td>\n",
       "      <td>11.764177</td>\n",
       "      <td>8.966716</td>\n",
       "      <td>15.879100</td>\n",
       "      <td>12.910282</td>\n",
       "      <td>11.257149</td>\n",
       "      <td>15.794451</td>\n",
       "      <td>19.381140</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>438</th>\n",
       "      <td>10.468286</td>\n",
       "      <td>12.769180</td>\n",
       "      <td>11.456564</td>\n",
       "      <td>9.069232</td>\n",
       "      <td>14.957574</td>\n",
       "      <td>17.021078</td>\n",
       "      <td>16.125175</td>\n",
       "      <td>13.359374</td>\n",
       "      <td>14.698847</td>\n",
       "      <td>15.828445</td>\n",
       "      <td>...</td>\n",
       "      <td>17.250746</td>\n",
       "      <td>16.087578</td>\n",
       "      <td>16.680485</td>\n",
       "      <td>16.781662</td>\n",
       "      <td>9.456651</td>\n",
       "      <td>19.610457</td>\n",
       "      <td>17.615740</td>\n",
       "      <td>13.208429</td>\n",
       "      <td>19.311543</td>\n",
       "      <td>19.932825</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>439</th>\n",
       "      <td>8.774860</td>\n",
       "      <td>11.887105</td>\n",
       "      <td>11.112715</td>\n",
       "      <td>10.909748</td>\n",
       "      <td>14.224565</td>\n",
       "      <td>17.404326</td>\n",
       "      <td>17.847987</td>\n",
       "      <td>14.574742</td>\n",
       "      <td>16.012664</td>\n",
       "      <td>17.758505</td>\n",
       "      <td>...</td>\n",
       "      <td>18.024032</td>\n",
       "      <td>18.310591</td>\n",
       "      <td>14.914554</td>\n",
       "      <td>16.280842</td>\n",
       "      <td>8.983234</td>\n",
       "      <td>19.437091</td>\n",
       "      <td>17.472995</td>\n",
       "      <td>12.535339</td>\n",
       "      <td>18.994294</td>\n",
       "      <td>20.355638</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>440</th>\n",
       "      <td>11.104315</td>\n",
       "      <td>13.885010</td>\n",
       "      <td>12.107643</td>\n",
       "      <td>9.396338</td>\n",
       "      <td>14.150081</td>\n",
       "      <td>17.638042</td>\n",
       "      <td>17.524258</td>\n",
       "      <td>14.292345</td>\n",
       "      <td>16.048507</td>\n",
       "      <td>17.254136</td>\n",
       "      <td>...</td>\n",
       "      <td>14.773224</td>\n",
       "      <td>15.600199</td>\n",
       "      <td>13.494643</td>\n",
       "      <td>14.952749</td>\n",
       "      <td>8.481937</td>\n",
       "      <td>17.585418</td>\n",
       "      <td>15.661823</td>\n",
       "      <td>12.523882</td>\n",
       "      <td>17.820140</td>\n",
       "      <td>20.045085</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>441</th>\n",
       "      <td>11.009177</td>\n",
       "      <td>12.627641</td>\n",
       "      <td>11.123474</td>\n",
       "      <td>8.114999</td>\n",
       "      <td>14.198909</td>\n",
       "      <td>17.594538</td>\n",
       "      <td>18.057580</td>\n",
       "      <td>14.787691</td>\n",
       "      <td>18.633471</td>\n",
       "      <td>17.701503</td>\n",
       "      <td>...</td>\n",
       "      <td>15.602705</td>\n",
       "      <td>14.420224</td>\n",
       "      <td>13.275962</td>\n",
       "      <td>12.356467</td>\n",
       "      <td>8.485886</td>\n",
       "      <td>16.820353</td>\n",
       "      <td>14.806755</td>\n",
       "      <td>9.463225</td>\n",
       "      <td>15.784393</td>\n",
       "      <td>18.323206</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>442 rows × 980 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "      SlFM0001   SlFM0002   SlFM0003   SlFM0004   SlFM0006   SlFM0007  \\\n",
       "0    10.058664  13.750975  12.047902   9.395965  16.309532  17.930181   \n",
       "1     8.524383  13.776051  10.972566   9.531084  16.112739  18.022671   \n",
       "2     9.606751  13.112625  12.860245   9.060867  15.089158  17.675865   \n",
       "3     8.504534  14.547586  11.352010   8.435099  16.573163  18.292996   \n",
       "4    10.307068  13.543681  11.158748   9.133789  14.607427  17.308733   \n",
       "..         ...        ...        ...        ...        ...        ...   \n",
       "437  10.000189  13.936163  12.675841   9.478600  14.624741  17.828609   \n",
       "438  10.468286  12.769180  11.456564   9.069232  14.957574  17.021078   \n",
       "439   8.774860  11.887105  11.112715  10.909748  14.224565  17.404326   \n",
       "440  11.104315  13.885010  12.107643   9.396338  14.150081  17.638042   \n",
       "441  11.009177  12.627641  11.123474   8.114999  14.198909  17.594538   \n",
       "\n",
       "      SlFM0008   SlFM0009   SlFM0010   SlFM0011  ...   SlFM1991   SlFM1992  \\\n",
       "0    16.499409  12.336912  15.646543  16.209047  ...  17.821242  14.176604   \n",
       "1    16.880783  13.871351  16.867821  16.443515  ...  14.906582  16.128613   \n",
       "2    17.270417  14.456873  15.573851  17.312950  ...  17.482128  14.610380   \n",
       "3    16.548557  13.579385  16.904141  16.322960  ...  16.555796  16.450170   \n",
       "4    15.392560  12.658011  14.822407  14.884788  ...  13.891677  13.210568   \n",
       "..         ...        ...        ...        ...  ...        ...        ...   \n",
       "437  17.340807  14.991040  17.553716  17.398462  ...  23.950252  19.822993   \n",
       "438  16.125175  13.359374  14.698847  15.828445  ...  17.250746  16.087578   \n",
       "439  17.847987  14.574742  16.012664  17.758505  ...  18.024032  18.310591   \n",
       "440  17.524258  14.292345  16.048507  17.254136  ...  14.773224  15.600199   \n",
       "441  18.057580  14.787691  18.633471  17.701503  ...  15.602705  14.420224   \n",
       "\n",
       "      SlFM1993   SlFM1994  SlFM1995   SlFM1996   SlFM1997   SlFM1998  \\\n",
       "0    14.397086  15.430668  8.968836  17.295679  15.404347  11.445918   \n",
       "1    12.706134  13.437172  8.503090  16.539596  14.414086  10.763034   \n",
       "2    13.953224  14.522489  9.001514  16.825113  14.612516   9.951440   \n",
       "3    13.818976  14.303404  8.998081  16.973984  15.291213  11.247105   \n",
       "4    11.835753  13.990747  8.483743  15.971438  13.916914  11.449546   \n",
       "..         ...        ...       ...        ...        ...        ...   \n",
       "437  18.157413  11.764177  8.966716  15.879100  12.910282  11.257149   \n",
       "438  16.680485  16.781662  9.456651  19.610457  17.615740  13.208429   \n",
       "439  14.914554  16.280842  8.983234  19.437091  17.472995  12.535339   \n",
       "440  13.494643  14.952749  8.481937  17.585418  15.661823  12.523882   \n",
       "441  13.275962  12.356467  8.485886  16.820353  14.806755   9.463225   \n",
       "\n",
       "      SlFM1999   SlFM2000  \n",
       "0    16.955778  19.669818  \n",
       "1    16.978190  19.257916  \n",
       "2    16.613222  19.155233  \n",
       "3    17.117014  19.321167  \n",
       "4    16.079645  18.449926  \n",
       "..         ...        ...  \n",
       "437  15.794451  19.381140  \n",
       "438  19.311543  19.932825  \n",
       "439  18.994294  20.355638  \n",
       "440  17.820140  20.045085  \n",
       "441  15.784393  18.323206  \n",
       "\n",
       "[442 rows x 980 columns]"
      ]
     },
     "execution_count": 81,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#impute missing data for rep1\n",
    "from sklearn.impute import KNNImputer\n",
    "X = rep1_logged.iloc[:, :980]\n",
    "imputer = KNNImputer(n_neighbors=2)\n",
    "Xknn1 = imputer.fit_transform(X)\n",
    "rep1_log_imputed = pd.DataFrame(data = Xknn1, columns = metab_list)\n",
    "rep1_log_imputed\n",
    "\n",
    "#impute missing data for rep1\n",
    "X = rep2_logged.iloc[:, :980]\n",
    "Xknn2 = imputer.fit_transform(X)\n",
    "rep2_log_imputed = pd.DataFrame(data = Xknn2, columns = metab_list)\n",
    "rep2_log_imputed"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "metadata": {},
   "outputs": [],
   "source": [
    "#average the two replicates\n",
    "avg_logged_data = (rep1_log_imputed + rep2_log_imputed) / 2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## PCA"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_PCA(data): #function to plot color-coded PCA or similar plot\n",
    "    \n",
    "    PC = pd.DataFrame(data = data, columns = ['PC1', 'PC2'])\n",
    "    PC['Group'] = df_final1['Group']\n",
    "    fig = plt.figure(figsize = (10,6))\n",
    "    ax = fig.add_subplot(1,1,1) \n",
    "    ax.set_xlabel('Principal Component 1', fontsize = 15)\n",
    "    ax.set_ylabel('Principal Component 2', fontsize = 15)\n",
    "    ax.set_title('2 component PCA', fontsize = 20)\n",
    "\n",
    "    groups = ['BIG', 'CER', 'PIM']\n",
    "    colors = ['orange', 'darkgreen', 'mediumblue']\n",
    "    for group, color in zip(groups,colors): #for each group and each corresponding color\n",
    "        indicesToKeep = PC['Group'] == group #filter out only those in the group\n",
    "        ax.scatter(PC.loc[indicesToKeep, 'PC1'] #plot in specified color\n",
    "                   , PC.loc[indicesToKeep, 'PC2']\n",
    "                   , c = color\n",
    "                   , s = 50)\n",
    "    ax.legend(groups)\n",
    "    ax.grid()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.decomposition import PCA\n",
    "\n",
    "X = avg_logged_data\n",
    "pca = PCA(n_components = 2)\n",
    "prinC = pca.fit_transform(X)\n",
    "\n",
    "plot_PCA(prinC)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#scaling data can help\n",
    "from sklearn.preprocessing import StandardScaler\n",
    "\n",
    "X = StandardScaler().fit_transform(avg_logged_data)\n",
    "prinC = pca.fit_transform(X)\n",
    "plot_PCA(prinC)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.manifold import TSNE\n",
    "# finding principle components\n",
    "tsne = TSNE(n_components=2)\n",
    "X_tsne = tsne.fit_transform(avg_logged_data)\n",
    "plot_PCA(X_tsne)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "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>SlFM0001</th>\n",
       "      <th>SlFM0002</th>\n",
       "      <th>SlFM0003</th>\n",
       "      <th>SlFM0004</th>\n",
       "      <th>SlFM0006</th>\n",
       "      <th>SlFM0007</th>\n",
       "      <th>SlFM0008</th>\n",
       "      <th>SlFM0009</th>\n",
       "      <th>SlFM0010</th>\n",
       "      <th>SlFM0011</th>\n",
       "      <th>...</th>\n",
       "      <th>SlFM1992</th>\n",
       "      <th>SlFM1993</th>\n",
       "      <th>SlFM1994</th>\n",
       "      <th>SlFM1995</th>\n",
       "      <th>SlFM1996</th>\n",
       "      <th>SlFM1997</th>\n",
       "      <th>SlFM1998</th>\n",
       "      <th>SlFM1999</th>\n",
       "      <th>SlFM2000</th>\n",
       "      <th>Group</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\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",
       "      <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",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>879</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>880</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>881</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>882</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>883</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>884 rows × 981 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "     SlFM0001  SlFM0002  SlFM0003  SlFM0004  SlFM0006  SlFM0007  SlFM0008  \\\n",
       "0         NaN       NaN       NaN       NaN       NaN       NaN       NaN   \n",
       "1         NaN       NaN       NaN       NaN       NaN       NaN       NaN   \n",
       "2         NaN       NaN       NaN       NaN       NaN       NaN       NaN   \n",
       "3         NaN       NaN       NaN       NaN       NaN       NaN       NaN   \n",
       "4         NaN       NaN       NaN       NaN       NaN       NaN       NaN   \n",
       "..        ...       ...       ...       ...       ...       ...       ...   \n",
       "879       NaN       NaN       NaN       NaN       NaN       NaN       NaN   \n",
       "880       NaN       NaN       NaN       NaN       NaN       NaN       NaN   \n",
       "881       NaN       NaN       NaN       NaN       NaN       NaN       NaN   \n",
       "882       NaN       NaN       NaN       NaN       NaN       NaN       NaN   \n",
       "883       NaN       NaN       NaN       NaN       NaN       NaN       NaN   \n",
       "\n",
       "     SlFM0009  SlFM0010  SlFM0011  ...  SlFM1992  SlFM1993  SlFM1994  \\\n",
       "0         NaN       NaN       NaN  ...       NaN       NaN       NaN   \n",
       "1         NaN       NaN       NaN  ...       NaN       NaN       NaN   \n",
       "2         NaN       NaN       NaN  ...       NaN       NaN       NaN   \n",
       "3         NaN       NaN       NaN  ...       NaN       NaN       NaN   \n",
       "4         NaN       NaN       NaN  ...       NaN       NaN       NaN   \n",
       "..        ...       ...       ...  ...       ...       ...       ...   \n",
       "879       NaN       NaN       NaN  ...       NaN       NaN       NaN   \n",
       "880       NaN       NaN       NaN  ...       NaN       NaN       NaN   \n",
       "881       NaN       NaN       NaN  ...       NaN       NaN       NaN   \n",
       "882       NaN       NaN       NaN  ...       NaN       NaN       NaN   \n",
       "883       NaN       NaN       NaN  ...       NaN       NaN       NaN   \n",
       "\n",
       "     SlFM1995  SlFM1996  SlFM1997  SlFM1998  SlFM1999  SlFM2000  Group  \n",
       "0         NaN       NaN       NaN       NaN       NaN       NaN    NaN  \n",
       "1         NaN       NaN       NaN       NaN       NaN       NaN    NaN  \n",
       "2         NaN       NaN       NaN       NaN       NaN       NaN    NaN  \n",
       "3         NaN       NaN       NaN       NaN       NaN       NaN    NaN  \n",
       "4         NaN       NaN       NaN       NaN       NaN       NaN    NaN  \n",
       "..        ...       ...       ...       ...       ...       ...    ...  \n",
       "879       NaN       NaN       NaN       NaN       NaN       NaN    NaN  \n",
       "880       NaN       NaN       NaN       NaN       NaN       NaN    NaN  \n",
       "881       NaN       NaN       NaN       NaN       NaN       NaN    NaN  \n",
       "882       NaN       NaN       NaN       NaN       NaN       NaN    NaN  \n",
       "883       NaN       NaN       NaN       NaN       NaN       NaN    NaN  \n",
       "\n",
       "[884 rows x 981 columns]"
      ]
     },
     "execution_count": 87,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "metadata": {},
   "outputs": [
    {
     "ename": "ValueError",
     "evalue": "Input contains NaN, infinity or a value too large for dtype('float64').",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mValueError\u001b[0m                                Traceback (most recent call last)",
      "\u001b[0;32m<ipython-input-89-21f7083cf46c>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[1;32m      4\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      5\u001b[0m \u001b[0mpca\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mPCA\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mn_components\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;36m2\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 6\u001b[0;31m \u001b[0mprinC\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mpca\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfit_transform\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mX\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m      7\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      8\u001b[0m \u001b[0mplot_PCA\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mprinC\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m/opt/anaconda3/lib/python3.8/site-packages/sklearn/decomposition/_pca.py\u001b[0m in \u001b[0;36mfit_transform\u001b[0;34m(self, X, y)\u001b[0m\n\u001b[1;32m    374\u001b[0m         \u001b[0mC\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0mordered\u001b[0m \u001b[0marray\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0muse\u001b[0m \u001b[0;34m'np.ascontiguousarray'\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    375\u001b[0m         \"\"\"\n\u001b[0;32m--> 376\u001b[0;31m         \u001b[0mU\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mS\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mV\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_fit\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mX\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    377\u001b[0m         \u001b[0mU\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mU\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m:\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mn_components_\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    378\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m/opt/anaconda3/lib/python3.8/site-packages/sklearn/decomposition/_pca.py\u001b[0m in \u001b[0;36m_fit\u001b[0;34m(self, X)\u001b[0m\n\u001b[1;32m    395\u001b[0m                             'TruncatedSVD for a possible alternative.')\n\u001b[1;32m    396\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 397\u001b[0;31m         X = self._validate_data(X, dtype=[np.float64, np.float32],\n\u001b[0m\u001b[1;32m    398\u001b[0m                                 ensure_2d=True, copy=self.copy)\n\u001b[1;32m    399\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m/opt/anaconda3/lib/python3.8/site-packages/sklearn/base.py\u001b[0m in \u001b[0;36m_validate_data\u001b[0;34m(self, X, y, reset, validate_separately, **check_params)\u001b[0m\n\u001b[1;32m    418\u001b[0m                     \u001b[0;34mf\"requires y to be passed, but the target y is None.\"\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    419\u001b[0m                 )\n\u001b[0;32m--> 420\u001b[0;31m             \u001b[0mX\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mcheck_array\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mX\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mcheck_params\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    421\u001b[0m             \u001b[0mout\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mX\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    422\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m/opt/anaconda3/lib/python3.8/site-packages/sklearn/utils/validation.py\u001b[0m in \u001b[0;36minner_f\u001b[0;34m(*args, **kwargs)\u001b[0m\n\u001b[1;32m     71\u001b[0m                           FutureWarning)\n\u001b[1;32m     72\u001b[0m         \u001b[0mkwargs\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mupdate\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m{\u001b[0m\u001b[0mk\u001b[0m\u001b[0;34m:\u001b[0m \u001b[0marg\u001b[0m \u001b[0;32mfor\u001b[0m \u001b[0mk\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0marg\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mzip\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0msig\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mparameters\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0margs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m}\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 73\u001b[0;31m         \u001b[0;32mreturn\u001b[0m \u001b[0mf\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m     74\u001b[0m     \u001b[0;32mreturn\u001b[0m \u001b[0minner_f\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     75\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m/opt/anaconda3/lib/python3.8/site-packages/sklearn/utils/validation.py\u001b[0m in \u001b[0;36mcheck_array\u001b[0;34m(array, accept_sparse, accept_large_sparse, dtype, order, copy, force_all_finite, ensure_2d, allow_nd, ensure_min_samples, ensure_min_features, estimator)\u001b[0m\n\u001b[1;32m    643\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    644\u001b[0m         \u001b[0;32mif\u001b[0m \u001b[0mforce_all_finite\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 645\u001b[0;31m             _assert_all_finite(array,\n\u001b[0m\u001b[1;32m    646\u001b[0m                                allow_nan=force_all_finite == 'allow-nan')\n\u001b[1;32m    647\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m/opt/anaconda3/lib/python3.8/site-packages/sklearn/utils/validation.py\u001b[0m in \u001b[0;36m_assert_all_finite\u001b[0;34m(X, allow_nan, msg_dtype)\u001b[0m\n\u001b[1;32m     95\u001b[0m                 not allow_nan and not np.isfinite(X).all()):\n\u001b[1;32m     96\u001b[0m             \u001b[0mtype_err\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m'infinity'\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mallow_nan\u001b[0m \u001b[0;32melse\u001b[0m \u001b[0;34m'NaN, infinity'\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 97\u001b[0;31m             raise ValueError(\n\u001b[0m\u001b[1;32m     98\u001b[0m                     \u001b[0mmsg_err\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mformat\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     99\u001b[0m                     (type_err,\n",
      "\u001b[0;31mValueError\u001b[0m: Input contains NaN, infinity or a value too large for dtype('float64')."
     ]
    }
   ],
   "source": [
    "#without kmeans filling in (pseudocount)\n",
    "X = avg_logged_data_pc\n",
    "avg_logged_data_pc = (rep1_logged.fillna(0) + rep2_logged.fillna(0))\n",
    "\n",
    "pca = PCA(n_components = 2)\n",
    "prinC = pca.fit_transform(X)\n",
    "\n",
    "plot_PCA(prinC)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 99,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       " 'SlFM0385',\n",
       " 'SlFM0386',\n",
       " 'SlFM0391',\n",
       " 'SlFM0392',\n",
       " 'SlFM0395',\n",
       " 'SlFM0417',\n",
       " 'SlFM0421',\n",
       " 'SlFM0424',\n",
       " 'SlFM0427',\n",
       " 'SlFM0430',\n",
       " 'SlFM0436',\n",
       " 'SlFM0437',\n",
       " 'SlFM0438',\n",
       " 'SlFM0443',\n",
       " 'SlFM0444',\n",
       " 'SlFM0449',\n",
       " 'SlFM0452',\n",
       " 'SlFM0459',\n",
       " 'SlFM0461',\n",
       " 'SlFM0464',\n",
       " 'SlFM0467',\n",
       " 'SlFM0470',\n",
       " 'SlFM0485',\n",
       " 'SlFM0488',\n",
       " 'SlFM0493',\n",
       " 'SlFM0496',\n",
       " 'SlFM0497',\n",
       " 'SlFM0499',\n",
       " 'SlFM0501',\n",
       " 'SlFM0502',\n",
       " 'SlFM0503',\n",
       " 'SlFM0507',\n",
       " 'SlFM0508',\n",
       " 'SlFM0511',\n",
       " 'SlFM0520',\n",
       " 'SlFM0521',\n",
       " 'SlFM0523',\n",
       " 'SlFM0529',\n",
       " 'SlFM0539',\n",
       " 'SlFM0566',\n",
       " 'SlFM0567',\n",
       " 'SlFM0569',\n",
       " 'SlFM0574',\n",
       " 'SlFM0581',\n",
       " 'SlFM0584',\n",
       " 'SlFM0588',\n",
       " 'SlFM0590',\n",
       " 'SlFM0592',\n",
       " 'SlFM0597',\n",
       " 'SlFM0605',\n",
       " 'SlFM0613',\n",
       " 'SlFM0615',\n",
       " 'SlFM0617',\n",
       " 'SlFM0624',\n",
       " 'SlFM0625',\n",
       " 'SlFM0632',\n",
       " 'SlFM0647',\n",
       " 'SlFM0651',\n",
       " 'SlFM0652',\n",
       " 'SlFM0677',\n",
       " 'SlFM0678',\n",
       " 'SlFM0686',\n",
       " 'SlFM0697',\n",
       " 'SlFM0703',\n",
       " 'SlFM0713',\n",
       " 'SlFM0715',\n",
       " 'SlFM0719',\n",
       " 'SlFM0735',\n",
       " 'SlFM0749',\n",
       " 'SlFM0760',\n",
       " 'SlFM0765',\n",
       " 'SlFM0770',\n",
       " 'SlFM0774',\n",
       " 'SlFM0776',\n",
       " 'SlFM0796',\n",
       " 'SlFM0797',\n",
       " 'SlFM0808',\n",
       " 'SlFM0810',\n",
       " 'SlFM0812',\n",
       " 'SlFM0813',\n",
       " 'SlFM0815',\n",
       " 'SlFM0845',\n",
       " 'SlFM0847',\n",
       " 'SlFM0858',\n",
       " 'SlFM0860',\n",
       " 'SlFM0863',\n",
       " 'SlFM0865',\n",
       " 'SlFM0877',\n",
       " 'SlFM0878',\n",
       " 'SlFM0884',\n",
       " 'SlFM0885',\n",
       " 'SlFM0888',\n",
       " 'SlFM0889',\n",
       " 'SlFM0890',\n",
       " 'SlFM0901',\n",
       " 'SlFM0902',\n",
       " 'SlFM0903',\n",
       " 'SlFM0920',\n",
       " 'SlFM0921',\n",
       " 'SlFM0948',\n",
       " 'SlFM0957',\n",
       " 'SlFM0958',\n",
       " 'SlFM0959',\n",
       " 'SlFM0960',\n",
       " 'SlFM0964',\n",
       " 'SlFM0971',\n",
       " 'SlFM0973',\n",
       " 'SlFM0987',\n",
       " 'SlFM1074',\n",
       " 'SlFM1076',\n",
       " 'SlFM1083',\n",
       " 'SlFM1088',\n",
       " 'SlFM1121',\n",
       " 'SlFM1132',\n",
       " 'SlFM1133',\n",
       " 'SlFM1135',\n",
       " 'SlFM1136',\n",
       " 'SlFM1141',\n",
       " 'SlFM1142',\n",
       " 'SlFM1145',\n",
       " 'SlFM1150',\n",
       " 'SlFM1156',\n",
       " 'SlFM1157',\n",
       " 'SlFM1173',\n",
       " 'SlFM1180',\n",
       " 'SlFM1191',\n",
       " 'SlFM1209',\n",
       " 'SlFM1227',\n",
       " 'SlFM1233',\n",
       " 'SlFM1238',\n",
       " 'SlFM1241',\n",
       " 'SlFM1249',\n",
       " 'SlFM1269',\n",
       " 'SlFM1275',\n",
       " 'SlFM1290',\n",
       " 'SlFM1312',\n",
       " 'SlFM1318',\n",
       " 'SlFM1330',\n",
       " 'SlFM1333',\n",
       " 'SlFM1338',\n",
       " 'SlFM1353',\n",
       " 'SlFM1372',\n",
       " 'SlFM1375',\n",
       " 'SlFM1379',\n",
       " 'SlFM1391',\n",
       " 'SlFM1394',\n",
       " 'SlFM1395',\n",
       " 'SlFM1410',\n",
       " 'SlFM1441',\n",
       " 'SlFM1463',\n",
       " 'SlFM1468',\n",
       " 'SlFM1501',\n",
       " 'SlFM1509',\n",
       " 'SlFM1510',\n",
       " 'SlFM1569',\n",
       " 'SlFM1570',\n",
       " 'SlFM1573',\n",
       " 'SlFM1587',\n",
       " 'SlFM1590',\n",
       " 'SlFM1594',\n",
       " 'SlFM1607',\n",
       " 'SlFM1610',\n",
       " 'SlFM1613',\n",
       " 'SlFM1616',\n",
       " 'SlFM1618',\n",
       " 'SlFM1678',\n",
       " 'SlFM1685',\n",
       " 'SlFM1693',\n",
       " 'SlFM1734',\n",
       " 'SlFM1738',\n",
       " 'SlFM1746',\n",
       " 'SlFM1763',\n",
       " 'SlFM1775',\n",
       " 'SlFM1785',\n",
       " 'SlFM1790',\n",
       " 'SlFM1823',\n",
       " 'SlFM1826',\n",
       " 'SlFM1832',\n",
       " 'SlFM1833',\n",
       " 'SlFM1836',\n",
       " 'SlFM1858',\n",
       " 'SlFM1869',\n",
       " 'SlFM1875',\n",
       " 'SlFM1878',\n",
       " 'SlFM1880',\n",
       " 'SlFM1888',\n",
       " 'SlFM1906',\n",
       " 'SlFM1915',\n",
       " 'SlFM1917',\n",
       " 'SlFM1923',\n",
       " 'SlFM1926',\n",
       " 'SlFM1931',\n",
       " 'SlFM1933',\n",
       " 'SlFM1937',\n",
       " 'SlFM1950',\n",
       " 'SlFM1955',\n",
       " 'SlFM1975',\n",
       " 'SlFM1977',\n",
       " 'SlFM1979',\n",
       " 'SlFM1982',\n",
       " 'SlFM1983',\n",
       " 'SlFM1984',\n",
       " 'SlFM1985',\n",
       " 'SlFM1987',\n",
       " 'SlFM1988',\n",
       " 'SlFM1989',\n",
       " 'SlFM1991',\n",
       " 'SlFM1992',\n",
       " 'SlFM1996',\n",
       " 'SlFM1998']"
      ]
     },
     "execution_count": 99,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sig_metabolites = pd.read_csv('significant_metabolites.csv')\n",
    "sig_metabolites = list(sig_metabolites['Chemical'].dropna())\n",
    "sig_metabolites"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 100,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#with all significant metabolites as filter\n",
    "\n",
    "X = avg_logged_data[sig_metabolites]\n",
    "pca = PCA(n_components = 2)\n",
    "prinC = pca.fit_transform(X)\n",
    "\n",
    "plot_PCA(prinC)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 101,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#with sig metabolites between PIM and CER\n",
    "X = avg_logged_data[sig_metabolites[:338]]\n",
    "pca = PCA(n_components = 2)\n",
    "prinC = pca.fit_transform(X)\n",
    "\n",
    "plot_PCA(prinC)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#sparse PCA, one more attempt\n",
    "X = avg_logged_data\n",
    "from sklearn.decomposition import SparsePCA\n",
    "# finding principle components\n",
    "spca = SparsePCA(n_components=2)\n",
    "spca.fit(X)\n",
    "X_spca = spca.transform(X)\n",
    "plot_PCA(X_spca)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 106,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/opt/anaconda3/lib/python3.8/site-packages/sklearn/decomposition/_pca.py:555: RuntimeWarning: invalid value encountered in true_divide\n",
      "  self.explained_variance_ / total_var.sum()\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#pca with nan filled in as 0, something seems to have broken here when i copied to a new notebook\n",
    "averaged = (rep1_logged.fillna(0).iloc[:, :980] + rep2_logged.fillna(0).iloc[:, :980])/2\n",
    "X = averaged.fillna(0)\n",
    "pca = PCA(n_components = 2)\n",
    "prinC = pca.fit_transform(X)\n",
    "\n",
    "plot_PCA(prinC)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "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": "3.8.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}