Molecular_data_correlation.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline \n",
    "plt.rcParams['figure.figsize'] = (10, 6)\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import scipy.stats as stats"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "gex = pd.DataFrame.from_csv('Sanger_molecular_data/gex.csv', header=0)\n",
    "methyl = pd.DataFrame.from_csv('Sanger_molecular_data/methyl/CpG_isle_level/methyl_ilse_beta.csv', header=0)\n",
    "locus_gene = pd.DataFrame.from_csv('Converted_data/results.csv', header=0, index_col=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>loci</th>\n",
       "      <th>grch38_gene_name</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>chr1:5937157-5937392</td>\n",
       "      <td>NPHP4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>chr1:166958220-166958683</td>\n",
       "      <td>ILDR2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>chr1:43832814-43833073</td>\n",
       "      <td>ST3GAL3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>chr1:20960045-20960551</td>\n",
       "      <td>EIF4G3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>chr1:1267435-1268986</td>\n",
       "      <td>UBE2J2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>chr1:223566642-223567268</td>\n",
       "      <td>CAPN8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>chr1:57887963-57890637</td>\n",
       "      <td>DAB1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>chr1:151319326-151319545</td>\n",
       "      <td>PI4KB</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>chr1:10757891-10758252</td>\n",
       "      <td>CASZ1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>chr1:12600347-12600556</td>\n",
       "      <td>DHRS3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>chr1:45082739-45083285</td>\n",
       "      <td>ZSWIM5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>chr1:17006742-17007151</td>\n",
       "      <td>ATP13A2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>chr1:160340604-160340843</td>\n",
       "      <td>COPA</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>chr1:33741774-33742381</td>\n",
       "      <td>CSMD2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>chr1:43996724-43997592</td>\n",
       "      <td>SLC6A9</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>chr1:1839958-1840601</td>\n",
       "      <td>GNB1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>chr1:205179963-205180910</td>\n",
       "      <td>DSTYK</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>chr1:153755957-153756335</td>\n",
       "      <td>INTS3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>chr1:156814881-156815792</td>\n",
       "      <td>NTRK1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>chr1:53925191-53926228</td>\n",
       "      <td>HSPB11</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>chr1:52344178-52344939</td>\n",
       "      <td>ZFYVE9</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>chr1:45965586-45966049</td>\n",
       "      <td>MAST2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>chr1:109656095-109656611</td>\n",
       "      <td>GSTM4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>chr1:50881884-50882103</td>\n",
       "      <td>FAF1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>chr1:65613041-65614898</td>\n",
       "      <td>LEPR</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>chr1:45476225-45477022</td>\n",
       "      <td>TESK2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>chr1:9258565-9258956</td>\n",
       "      <td>H6PD</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>chr1:227922643-227923431</td>\n",
       "      <td>WNT9A</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>chr1:6511689-6512110</td>\n",
       "      <td>PLEKHG5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>chr1:44031286-44031853</td>\n",
       "      <td>SLC6A9</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12342</th>\n",
       "      <td>chr22:50144430-50144635</td>\n",
       "      <td>MOV10L1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12343</th>\n",
       "      <td>chr22:49447339-49448283</td>\n",
       "      <td>C22orf34</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12344</th>\n",
       "      <td>chr22:37720719-37721236</td>\n",
       "      <td>TRIOBP</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12345</th>\n",
       "      <td>chr22:25960959-25961368</td>\n",
       "      <td>MYO18B</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12346</th>\n",
       "      <td>chr22:25081850-25082112</td>\n",
       "      <td>KIAA1671</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12347</th>\n",
       "      <td>chr22:47074658-47074879</td>\n",
       "      <td>TBC1D22A</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12348</th>\n",
       "      <td>chr22:45560511-45560783</td>\n",
       "      <td>FBLN1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12349</th>\n",
       "      <td>chr22:43583502-43583830</td>\n",
       "      <td>EFCAB6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12350</th>\n",
       "      <td>chr22:46785171-46785381</td>\n",
       "      <td>TBC1D22A</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12351</th>\n",
       "      <td>chr22:46777706-46777929</td>\n",
       "      <td>TBC1D22A</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12352</th>\n",
       "      <td>chr22:50098068-50098318</td>\n",
       "      <td>MOV10L1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12353</th>\n",
       "      <td>chr22:45559298-45560172</td>\n",
       "      <td>FBLN1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12354</th>\n",
       "      <td>chr22:17564602-17564995</td>\n",
       "      <td>SLC25A18</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12355</th>\n",
       "      <td>chr22:37578232-37578660</td>\n",
       "      <td>LGALS2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12356</th>\n",
       "      <td>chr22:50726108-50726520</td>\n",
       "      <td>SHANK3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12357</th>\n",
       "      <td>chr22:47014288-47014698</td>\n",
       "      <td>TBC1D22A</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12358</th>\n",
       "      <td>chr22:21622176-21622503</td>\n",
       "      <td>UBE2L3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12359</th>\n",
       "      <td>chr22:21770896-21772442</td>\n",
       "      <td>MAPK1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12360</th>\n",
       "      <td>chr22:47069523-47069800</td>\n",
       "      <td>TBC1D22A</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12361</th>\n",
       "      <td>chr22:35776988-35777221</td>\n",
       "      <td>RBFOX2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12362</th>\n",
       "      <td>chr22:25816912-25817539</td>\n",
       "      <td>MYO18B</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12363</th>\n",
       "      <td>chr22:47027366-47027910</td>\n",
       "      <td>TBC1D22A</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12364</th>\n",
       "      <td>chr22:17001042-17002102</td>\n",
       "      <td>GAB4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12365</th>\n",
       "      <td>chr22:20427046-20428590</td>\n",
       "      <td>SCARF2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12366</th>\n",
       "      <td>chr22:46859615-46860229</td>\n",
       "      <td>TBC1D22A</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12367</th>\n",
       "      <td>chr22:23802501-23802934</td>\n",
       "      <td>SMARCB1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12368</th>\n",
       "      <td>chr22:50725469-50725818</td>\n",
       "      <td>SHANK3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12369</th>\n",
       "      <td>chr22:25055102-25055388</td>\n",
       "      <td>KIAA1671</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12370</th>\n",
       "      <td>chr22:49487327-49487535</td>\n",
       "      <td>C22orf34</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12371</th>\n",
       "      <td>chr22:50421660-50422491</td>\n",
       "      <td>PPP6R2</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>12372 rows × 2 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                           loci grch38_gene_name\n",
       "0          chr1:5937157-5937392            NPHP4\n",
       "1      chr1:166958220-166958683            ILDR2\n",
       "2        chr1:43832814-43833073          ST3GAL3\n",
       "3        chr1:20960045-20960551           EIF4G3\n",
       "4          chr1:1267435-1268986           UBE2J2\n",
       "5      chr1:223566642-223567268            CAPN8\n",
       "6        chr1:57887963-57890637             DAB1\n",
       "7      chr1:151319326-151319545            PI4KB\n",
       "8        chr1:10757891-10758252            CASZ1\n",
       "9        chr1:12600347-12600556            DHRS3\n",
       "10       chr1:45082739-45083285           ZSWIM5\n",
       "11       chr1:17006742-17007151          ATP13A2\n",
       "12     chr1:160340604-160340843             COPA\n",
       "13       chr1:33741774-33742381            CSMD2\n",
       "14       chr1:43996724-43997592           SLC6A9\n",
       "15         chr1:1839958-1840601             GNB1\n",
       "16     chr1:205179963-205180910            DSTYK\n",
       "17     chr1:153755957-153756335            INTS3\n",
       "18     chr1:156814881-156815792            NTRK1\n",
       "19       chr1:53925191-53926228           HSPB11\n",
       "20       chr1:52344178-52344939           ZFYVE9\n",
       "21       chr1:45965586-45966049            MAST2\n",
       "22     chr1:109656095-109656611            GSTM4\n",
       "23       chr1:50881884-50882103             FAF1\n",
       "24       chr1:65613041-65614898             LEPR\n",
       "25       chr1:45476225-45477022            TESK2\n",
       "26         chr1:9258565-9258956             H6PD\n",
       "27     chr1:227922643-227923431            WNT9A\n",
       "28         chr1:6511689-6512110          PLEKHG5\n",
       "29       chr1:44031286-44031853           SLC6A9\n",
       "...                         ...              ...\n",
       "12342   chr22:50144430-50144635          MOV10L1\n",
       "12343   chr22:49447339-49448283         C22orf34\n",
       "12344   chr22:37720719-37721236           TRIOBP\n",
       "12345   chr22:25960959-25961368           MYO18B\n",
       "12346   chr22:25081850-25082112         KIAA1671\n",
       "12347   chr22:47074658-47074879         TBC1D22A\n",
       "12348   chr22:45560511-45560783            FBLN1\n",
       "12349   chr22:43583502-43583830           EFCAB6\n",
       "12350   chr22:46785171-46785381         TBC1D22A\n",
       "12351   chr22:46777706-46777929         TBC1D22A\n",
       "12352   chr22:50098068-50098318          MOV10L1\n",
       "12353   chr22:45559298-45560172            FBLN1\n",
       "12354   chr22:17564602-17564995         SLC25A18\n",
       "12355   chr22:37578232-37578660           LGALS2\n",
       "12356   chr22:50726108-50726520           SHANK3\n",
       "12357   chr22:47014288-47014698         TBC1D22A\n",
       "12358   chr22:21622176-21622503           UBE2L3\n",
       "12359   chr22:21770896-21772442            MAPK1\n",
       "12360   chr22:47069523-47069800         TBC1D22A\n",
       "12361   chr22:35776988-35777221           RBFOX2\n",
       "12362   chr22:25816912-25817539           MYO18B\n",
       "12363   chr22:47027366-47027910         TBC1D22A\n",
       "12364   chr22:17001042-17002102             GAB4\n",
       "12365   chr22:20427046-20428590           SCARF2\n",
       "12366   chr22:46859615-46860229         TBC1D22A\n",
       "12367   chr22:23802501-23802934          SMARCB1\n",
       "12368   chr22:50725469-50725818           SHANK3\n",
       "12369   chr22:25055102-25055388         KIAA1671\n",
       "12370   chr22:49487327-49487535         C22orf34\n",
       "12371   chr22:50421660-50422491           PPP6R2\n",
       "\n",
       "[12372 rows x 2 columns]"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# drop rows without gene names\n",
    "# drop rows where gene is not in gene expression file\n",
    "locus_gene = locus_gene.dropna()\n",
    "locus_gene = locus_gene[locus_gene['grch38_gene_name'].isin(gex.index.values)].reset_index(drop=True)\n",
    "locus_gene"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(12372, 2)"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "locus_gene.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(17419, 83)"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gex.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(26313, 82)"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "methyl.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "No gene expression available for the cell lines **MDA-MB-175-VII** and **NCI-H1437**. <br>\n",
    "No methylation available for the cell lines **SW620**, **KMS-11** and **MDA-MB-175-VII**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "gex.drop(['SW620', 'KMS-11'], axis=1, inplace=True)\n",
    "methyl.drop('NCI-H1437', axis=1, inplace=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(26313, 81)"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "methyl.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(17419, 81)"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gex.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "methyl=methyl[gex.columns]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>22RV1</th>\n",
       "      <th>647-V</th>\n",
       "      <th>A549</th>\n",
       "      <th>BFTC-905</th>\n",
       "      <th>BT-20</th>\n",
       "      <th>BT-474</th>\n",
       "      <th>BT-549</th>\n",
       "      <th>C32</th>\n",
       "      <th>CAL-120</th>\n",
       "      <th>CAL-148</th>\n",
       "      <th>...</th>\n",
       "      <th>SW837</th>\n",
       "      <th>SW900</th>\n",
       "      <th>SW948</th>\n",
       "      <th>T-24</th>\n",
       "      <th>T47D</th>\n",
       "      <th>TCCSUP</th>\n",
       "      <th>UACC-812</th>\n",
       "      <th>UM-UC-3</th>\n",
       "      <th>VCaP</th>\n",
       "      <th>VM-CUB-1</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>chr1:91190489-91192804</th>\n",
       "      <td>0.721448</td>\n",
       "      <td>0.794850</td>\n",
       "      <td>0.757174</td>\n",
       "      <td>0.670391</td>\n",
       "      <td>0.776307</td>\n",
       "      <td>0.595175</td>\n",
       "      <td>0.631357</td>\n",
       "      <td>0.818692</td>\n",
       "      <td>0.708360</td>\n",
       "      <td>0.636477</td>\n",
       "      <td>...</td>\n",
       "      <td>0.777035</td>\n",
       "      <td>0.838035</td>\n",
       "      <td>0.693786</td>\n",
       "      <td>0.772520</td>\n",
       "      <td>0.644643</td>\n",
       "      <td>0.584588</td>\n",
       "      <td>0.821878</td>\n",
       "      <td>0.761377</td>\n",
       "      <td>0.634385</td>\n",
       "      <td>0.752399</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>chr1:230561103-230562702</th>\n",
       "      <td>0.548634</td>\n",
       "      <td>0.438499</td>\n",
       "      <td>0.379540</td>\n",
       "      <td>0.397155</td>\n",
       "      <td>0.599632</td>\n",
       "      <td>0.560515</td>\n",
       "      <td>0.487595</td>\n",
       "      <td>0.529199</td>\n",
       "      <td>0.503532</td>\n",
       "      <td>0.473723</td>\n",
       "      <td>...</td>\n",
       "      <td>0.352446</td>\n",
       "      <td>0.551876</td>\n",
       "      <td>0.309111</td>\n",
       "      <td>0.415686</td>\n",
       "      <td>0.377423</td>\n",
       "      <td>0.319003</td>\n",
       "      <td>0.532013</td>\n",
       "      <td>0.422074</td>\n",
       "      <td>0.352268</td>\n",
       "      <td>0.654325</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>chr1:5937157-5937392</th>\n",
       "      <td>0.855258</td>\n",
       "      <td>0.882623</td>\n",
       "      <td>0.865125</td>\n",
       "      <td>0.833689</td>\n",
       "      <td>0.799932</td>\n",
       "      <td>0.829530</td>\n",
       "      <td>0.867833</td>\n",
       "      <td>0.829281</td>\n",
       "      <td>0.863972</td>\n",
       "      <td>0.841697</td>\n",
       "      <td>...</td>\n",
       "      <td>0.827683</td>\n",
       "      <td>0.843012</td>\n",
       "      <td>0.876330</td>\n",
       "      <td>0.871788</td>\n",
       "      <td>0.891672</td>\n",
       "      <td>0.912338</td>\n",
       "      <td>0.847513</td>\n",
       "      <td>0.815598</td>\n",
       "      <td>0.824353</td>\n",
       "      <td>0.873546</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>chr1:166958220-166958683</th>\n",
       "      <td>0.735134</td>\n",
       "      <td>0.843234</td>\n",
       "      <td>0.755530</td>\n",
       "      <td>0.821604</td>\n",
       "      <td>0.511313</td>\n",
       "      <td>0.817331</td>\n",
       "      <td>0.815781</td>\n",
       "      <td>0.706106</td>\n",
       "      <td>0.815127</td>\n",
       "      <td>0.846426</td>\n",
       "      <td>...</td>\n",
       "      <td>0.835246</td>\n",
       "      <td>0.866354</td>\n",
       "      <td>0.769079</td>\n",
       "      <td>0.763839</td>\n",
       "      <td>0.670178</td>\n",
       "      <td>0.662619</td>\n",
       "      <td>0.811266</td>\n",
       "      <td>0.666448</td>\n",
       "      <td>0.863199</td>\n",
       "      <td>0.774044</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>chr1:43832814-43833073</th>\n",
       "      <td>0.373835</td>\n",
       "      <td>0.342766</td>\n",
       "      <td>0.274094</td>\n",
       "      <td>0.291829</td>\n",
       "      <td>0.266673</td>\n",
       "      <td>0.340050</td>\n",
       "      <td>0.344933</td>\n",
       "      <td>0.334399</td>\n",
       "      <td>0.279333</td>\n",
       "      <td>0.340005</td>\n",
       "      <td>...</td>\n",
       "      <td>0.285086</td>\n",
       "      <td>0.295572</td>\n",
       "      <td>0.356639</td>\n",
       "      <td>0.392305</td>\n",
       "      <td>0.352019</td>\n",
       "      <td>0.391685</td>\n",
       "      <td>0.276487</td>\n",
       "      <td>0.293689</td>\n",
       "      <td>0.374557</td>\n",
       "      <td>0.326064</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>chr1:200011400-200012055</th>\n",
       "      <td>0.832400</td>\n",
       "      <td>0.495852</td>\n",
       "      <td>0.418070</td>\n",
       "      <td>0.844214</td>\n",
       "      <td>0.840651</td>\n",
       "      <td>0.459881</td>\n",
       "      <td>0.487692</td>\n",
       "      <td>0.574676</td>\n",
       "      <td>0.354246</td>\n",
       "      <td>0.614351</td>\n",
       "      <td>...</td>\n",
       "      <td>0.363782</td>\n",
       "      <td>0.545619</td>\n",
       "      <td>0.359223</td>\n",
       "      <td>0.834020</td>\n",
       "      <td>0.328477</td>\n",
       "      <td>0.529213</td>\n",
       "      <td>0.392362</td>\n",
       "      <td>0.566266</td>\n",
       "      <td>0.552753</td>\n",
       "      <td>0.727500</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>chr1:20960045-20960551</th>\n",
       "      <td>0.393890</td>\n",
       "      <td>0.332474</td>\n",
       "      <td>0.413893</td>\n",
       "      <td>0.363311</td>\n",
       "      <td>0.281845</td>\n",
       "      <td>0.382806</td>\n",
       "      <td>0.321202</td>\n",
       "      <td>0.338454</td>\n",
       "      <td>0.353092</td>\n",
       "      <td>0.352917</td>\n",
       "      <td>...</td>\n",
       "      <td>0.327443</td>\n",
       "      <td>0.342893</td>\n",
       "      <td>0.331911</td>\n",
       "      <td>0.348881</td>\n",
       "      <td>0.330734</td>\n",
       "      <td>0.389571</td>\n",
       "      <td>0.362439</td>\n",
       "      <td>0.342247</td>\n",
       "      <td>0.307868</td>\n",
       "      <td>0.335797</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>chr1:1267435-1268986</th>\n",
       "      <td>0.579922</td>\n",
       "      <td>0.871158</td>\n",
       "      <td>0.849732</td>\n",
       "      <td>0.730204</td>\n",
       "      <td>0.762947</td>\n",
       "      <td>0.813393</td>\n",
       "      <td>0.618156</td>\n",
       "      <td>0.788437</td>\n",
       "      <td>0.823841</td>\n",
       "      <td>0.822300</td>\n",
       "      <td>...</td>\n",
       "      <td>0.677910</td>\n",
       "      <td>0.720069</td>\n",
       "      <td>0.588203</td>\n",
       "      <td>0.621413</td>\n",
       "      <td>0.872530</td>\n",
       "      <td>0.753287</td>\n",
       "      <td>0.775234</td>\n",
       "      <td>0.801901</td>\n",
       "      <td>0.821590</td>\n",
       "      <td>0.501657</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>chr1:169396621-169396869</th>\n",
       "      <td>0.838916</td>\n",
       "      <td>0.387694</td>\n",
       "      <td>0.628627</td>\n",
       "      <td>0.687007</td>\n",
       "      <td>0.769415</td>\n",
       "      <td>0.866743</td>\n",
       "      <td>0.824505</td>\n",
       "      <td>0.382242</td>\n",
       "      <td>0.863825</td>\n",
       "      <td>0.867138</td>\n",
       "      <td>...</td>\n",
       "      <td>0.841688</td>\n",
       "      <td>0.377850</td>\n",
       "      <td>0.796066</td>\n",
       "      <td>0.677602</td>\n",
       "      <td>0.693408</td>\n",
       "      <td>0.335319</td>\n",
       "      <td>0.876255</td>\n",
       "      <td>0.304483</td>\n",
       "      <td>0.801445</td>\n",
       "      <td>0.896669</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>chr1:223566642-223567268</th>\n",
       "      <td>0.270527</td>\n",
       "      <td>0.444124</td>\n",
       "      <td>0.614625</td>\n",
       "      <td>0.442436</td>\n",
       "      <td>0.703009</td>\n",
       "      <td>0.545878</td>\n",
       "      <td>0.592376</td>\n",
       "      <td>0.588857</td>\n",
       "      <td>0.739937</td>\n",
       "      <td>0.549718</td>\n",
       "      <td>...</td>\n",
       "      <td>0.637584</td>\n",
       "      <td>0.557554</td>\n",
       "      <td>0.432284</td>\n",
       "      <td>0.364709</td>\n",
       "      <td>0.518033</td>\n",
       "      <td>0.305687</td>\n",
       "      <td>0.525836</td>\n",
       "      <td>0.430932</td>\n",
       "      <td>0.649721</td>\n",
       "      <td>0.432044</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>chr1:57887963-57890637</th>\n",
       "      <td>0.350618</td>\n",
       "      <td>0.371340</td>\n",
       "      <td>0.380686</td>\n",
       "      <td>0.554750</td>\n",
       "      <td>0.716443</td>\n",
       "      <td>0.522146</td>\n",
       "      <td>0.373131</td>\n",
       "      <td>0.516470</td>\n",
       "      <td>0.463326</td>\n",
       "      <td>0.377800</td>\n",
       "      <td>...</td>\n",
       "      <td>0.727333</td>\n",
       "      <td>0.643514</td>\n",
       "      <td>0.767352</td>\n",
       "      <td>0.497662</td>\n",
       "      <td>0.377931</td>\n",
       "      <td>0.290279</td>\n",
       "      <td>0.490357</td>\n",
       "      <td>0.351718</td>\n",
       "      <td>0.315090</td>\n",
       "      <td>0.665474</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>chr1:151319326-151319545</th>\n",
       "      <td>0.410076</td>\n",
       "      <td>0.373684</td>\n",
       "      <td>0.353624</td>\n",
       "      <td>0.387371</td>\n",
       "      <td>0.340957</td>\n",
       "      <td>0.344021</td>\n",
       "      <td>0.373492</td>\n",
       "      <td>0.334571</td>\n",
       "      <td>0.357436</td>\n",
       "      <td>0.345892</td>\n",
       "      <td>...</td>\n",
       "      <td>0.339761</td>\n",
       "      <td>0.329973</td>\n",
       "      <td>0.365940</td>\n",
       "      <td>0.361144</td>\n",
       "      <td>0.383024</td>\n",
       "      <td>0.438226</td>\n",
       "      <td>0.323961</td>\n",
       "      <td>0.328509</td>\n",
       "      <td>0.341177</td>\n",
       "      <td>0.352734</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>chr1:10757891-10758252</th>\n",
       "      <td>0.889384</td>\n",
       "      <td>0.905172</td>\n",
       "      <td>0.907938</td>\n",
       "      <td>0.889992</td>\n",
       "      <td>0.720296</td>\n",
       "      <td>0.703804</td>\n",
       "      <td>0.882174</td>\n",
       "      <td>0.892036</td>\n",
       "      <td>0.879536</td>\n",
       "      <td>0.727882</td>\n",
       "      <td>...</td>\n",
       "      <td>0.873758</td>\n",
       "      <td>0.899586</td>\n",
       "      <td>0.896380</td>\n",
       "      <td>0.773158</td>\n",
       "      <td>0.785070</td>\n",
       "      <td>0.895150</td>\n",
       "      <td>0.735926</td>\n",
       "      <td>0.894594</td>\n",
       "      <td>0.910632</td>\n",
       "      <td>0.899466</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>chr1:12600347-12600556</th>\n",
       "      <td>0.844048</td>\n",
       "      <td>0.852923</td>\n",
       "      <td>0.759317</td>\n",
       "      <td>0.805105</td>\n",
       "      <td>0.632565</td>\n",
       "      <td>0.801633</td>\n",
       "      <td>0.586362</td>\n",
       "      <td>0.843388</td>\n",
       "      <td>0.817330</td>\n",
       "      <td>0.830792</td>\n",
       "      <td>...</td>\n",
       "      <td>0.428019</td>\n",
       "      <td>0.473977</td>\n",
       "      <td>0.780442</td>\n",
       "      <td>0.513583</td>\n",
       "      <td>0.789147</td>\n",
       "      <td>0.609932</td>\n",
       "      <td>0.840657</td>\n",
       "      <td>0.802617</td>\n",
       "      <td>0.819342</td>\n",
       "      <td>0.444857</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>chr1:45082739-45083285</th>\n",
       "      <td>0.416444</td>\n",
       "      <td>0.360372</td>\n",
       "      <td>0.767975</td>\n",
       "      <td>0.432623</td>\n",
       "      <td>0.398168</td>\n",
       "      <td>0.515442</td>\n",
       "      <td>0.527783</td>\n",
       "      <td>0.524570</td>\n",
       "      <td>0.400992</td>\n",
       "      <td>0.509347</td>\n",
       "      <td>...</td>\n",
       "      <td>0.576266</td>\n",
       "      <td>0.840227</td>\n",
       "      <td>0.501649</td>\n",
       "      <td>0.434470</td>\n",
       "      <td>0.416526</td>\n",
       "      <td>0.401640</td>\n",
       "      <td>0.605575</td>\n",
       "      <td>0.682154</td>\n",
       "      <td>0.455890</td>\n",
       "      <td>0.484960</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>chr1:142618751-142619238</th>\n",
       "      <td>0.541511</td>\n",
       "      <td>0.394569</td>\n",
       "      <td>0.497778</td>\n",
       "      <td>0.596609</td>\n",
       "      <td>0.430309</td>\n",
       "      <td>0.488258</td>\n",
       "      <td>0.538661</td>\n",
       "      <td>0.476813</td>\n",
       "      <td>0.574436</td>\n",
       "      <td>0.542887</td>\n",
       "      <td>...</td>\n",
       "      <td>0.520157</td>\n",
       "      <td>0.566351</td>\n",
       "      <td>0.480264</td>\n",
       "      <td>0.519723</td>\n",
       "      <td>0.382511</td>\n",
       "      <td>0.516074</td>\n",
       "      <td>0.435322</td>\n",
       "      <td>0.533182</td>\n",
       "      <td>0.416604</td>\n",
       "      <td>0.490210</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>chr1:17006742-17007151</th>\n",
       "      <td>0.511444</td>\n",
       "      <td>0.564016</td>\n",
       "      <td>0.379434</td>\n",
       "      <td>0.468513</td>\n",
       "      <td>0.697783</td>\n",
       "      <td>0.755689</td>\n",
       "      <td>0.697407</td>\n",
       "      <td>0.655126</td>\n",
       "      <td>0.641471</td>\n",
       "      <td>0.733030</td>\n",
       "      <td>...</td>\n",
       "      <td>0.408316</td>\n",
       "      <td>0.474276</td>\n",
       "      <td>0.580104</td>\n",
       "      <td>0.670454</td>\n",
       "      <td>0.621596</td>\n",
       "      <td>0.501359</td>\n",
       "      <td>0.573593</td>\n",
       "      <td>0.498583</td>\n",
       "      <td>0.687337</td>\n",
       "      <td>0.614180</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>chr1:34628783-34630976</th>\n",
       "      <td>0.252896</td>\n",
       "      <td>0.445283</td>\n",
       "      <td>0.324831</td>\n",
       "      <td>0.325188</td>\n",
       "      <td>0.592046</td>\n",
       "      <td>0.428308</td>\n",
       "      <td>0.398736</td>\n",
       "      <td>0.345189</td>\n",
       "      <td>0.467317</td>\n",
       "      <td>0.387811</td>\n",
       "      <td>...</td>\n",
       "      <td>0.639858</td>\n",
       "      <td>0.417081</td>\n",
       "      <td>0.714207</td>\n",
       "      <td>0.543112</td>\n",
       "      <td>0.374740</td>\n",
       "      <td>0.610884</td>\n",
       "      <td>0.467109</td>\n",
       "      <td>0.393843</td>\n",
       "      <td>0.415668</td>\n",
       "      <td>0.697557</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>chr1:154474107-154475699</th>\n",
       "      <td>0.625582</td>\n",
       "      <td>0.718842</td>\n",
       "      <td>0.676537</td>\n",
       "      <td>0.554629</td>\n",
       "      <td>0.741792</td>\n",
       "      <td>0.723580</td>\n",
       "      <td>0.690731</td>\n",
       "      <td>0.744985</td>\n",
       "      <td>0.653356</td>\n",
       "      <td>0.718427</td>\n",
       "      <td>...</td>\n",
       "      <td>0.656067</td>\n",
       "      <td>0.741260</td>\n",
       "      <td>0.683028</td>\n",
       "      <td>0.736428</td>\n",
       "      <td>0.731131</td>\n",
       "      <td>0.592848</td>\n",
       "      <td>0.661840</td>\n",
       "      <td>0.721546</td>\n",
       "      <td>0.694471</td>\n",
       "      <td>0.759292</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>chr1:160340604-160340843</th>\n",
       "      <td>0.521433</td>\n",
       "      <td>0.657279</td>\n",
       "      <td>0.628884</td>\n",
       "      <td>0.522619</td>\n",
       "      <td>0.580410</td>\n",
       "      <td>0.679646</td>\n",
       "      <td>0.578428</td>\n",
       "      <td>0.690916</td>\n",
       "      <td>0.599571</td>\n",
       "      <td>0.681607</td>\n",
       "      <td>...</td>\n",
       "      <td>0.651837</td>\n",
       "      <td>0.721142</td>\n",
       "      <td>0.554710</td>\n",
       "      <td>0.600961</td>\n",
       "      <td>0.574339</td>\n",
       "      <td>0.521752</td>\n",
       "      <td>0.672272</td>\n",
       "      <td>0.549017</td>\n",
       "      <td>0.530656</td>\n",
       "      <td>0.554198</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>chr1:33741774-33742381</th>\n",
       "      <td>0.882876</td>\n",
       "      <td>0.892438</td>\n",
       "      <td>0.845860</td>\n",
       "      <td>0.896888</td>\n",
       "      <td>0.834376</td>\n",
       "      <td>0.865596</td>\n",
       "      <td>0.873088</td>\n",
       "      <td>0.854082</td>\n",
       "      <td>0.851836</td>\n",
       "      <td>0.853028</td>\n",
       "      <td>...</td>\n",
       "      <td>0.842528</td>\n",
       "      <td>0.874868</td>\n",
       "      <td>0.787794</td>\n",
       "      <td>0.873802</td>\n",
       "      <td>0.880206</td>\n",
       "      <td>0.902390</td>\n",
       "      <td>0.848422</td>\n",
       "      <td>0.865868</td>\n",
       "      <td>0.874994</td>\n",
       "      <td>0.876618</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>chr1:43996724-43997592</th>\n",
       "      <td>0.596301</td>\n",
       "      <td>0.558503</td>\n",
       "      <td>0.592251</td>\n",
       "      <td>0.576021</td>\n",
       "      <td>0.459301</td>\n",
       "      <td>0.436925</td>\n",
       "      <td>0.546715</td>\n",
       "      <td>0.578770</td>\n",
       "      <td>0.454618</td>\n",
       "      <td>0.464914</td>\n",
       "      <td>...</td>\n",
       "      <td>0.558638</td>\n",
       "      <td>0.582011</td>\n",
       "      <td>0.567552</td>\n",
       "      <td>0.559757</td>\n",
       "      <td>0.439177</td>\n",
       "      <td>0.615843</td>\n",
       "      <td>0.505058</td>\n",
       "      <td>0.559838</td>\n",
       "      <td>0.563203</td>\n",
       "      <td>0.532505</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>chr1:1839958-1840601</th>\n",
       "      <td>0.482268</td>\n",
       "      <td>0.424927</td>\n",
       "      <td>0.461612</td>\n",
       "      <td>0.444086</td>\n",
       "      <td>0.378800</td>\n",
       "      <td>0.329765</td>\n",
       "      <td>0.373271</td>\n",
       "      <td>0.399012</td>\n",
       "      <td>0.462208</td>\n",
       "      <td>0.456611</td>\n",
       "      <td>...</td>\n",
       "      <td>0.381611</td>\n",
       "      <td>0.459648</td>\n",
       "      <td>0.443999</td>\n",
       "      <td>0.420944</td>\n",
       "      <td>0.387565</td>\n",
       "      <td>0.450701</td>\n",
       "      <td>0.398224</td>\n",
       "      <td>0.471764</td>\n",
       "      <td>0.478615</td>\n",
       "      <td>0.342931</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>chr1:205179963-205180910</th>\n",
       "      <td>0.387136</td>\n",
       "      <td>0.375241</td>\n",
       "      <td>0.366846</td>\n",
       "      <td>0.404801</td>\n",
       "      <td>0.390189</td>\n",
       "      <td>0.386501</td>\n",
       "      <td>0.373484</td>\n",
       "      <td>0.348668</td>\n",
       "      <td>0.413693</td>\n",
       "      <td>0.391318</td>\n",
       "      <td>...</td>\n",
       "      <td>0.371345</td>\n",
       "      <td>0.403010</td>\n",
       "      <td>0.380136</td>\n",
       "      <td>0.389869</td>\n",
       "      <td>0.344353</td>\n",
       "      <td>0.326118</td>\n",
       "      <td>0.352469</td>\n",
       "      <td>0.354231</td>\n",
       "      <td>0.310195</td>\n",
       "      <td>0.389905</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>chr1:153755957-153756335</th>\n",
       "      <td>0.326760</td>\n",
       "      <td>0.313490</td>\n",
       "      <td>0.276593</td>\n",
       "      <td>0.296518</td>\n",
       "      <td>0.255250</td>\n",
       "      <td>0.229339</td>\n",
       "      <td>0.268489</td>\n",
       "      <td>0.287179</td>\n",
       "      <td>0.262899</td>\n",
       "      <td>0.262984</td>\n",
       "      <td>...</td>\n",
       "      <td>0.243810</td>\n",
       "      <td>0.264255</td>\n",
       "      <td>0.310240</td>\n",
       "      <td>0.285306</td>\n",
       "      <td>0.330500</td>\n",
       "      <td>0.360328</td>\n",
       "      <td>0.281385</td>\n",
       "      <td>0.262304</td>\n",
       "      <td>0.234981</td>\n",
       "      <td>0.287943</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>chr1:179711947-179713951</th>\n",
       "      <td>0.445659</td>\n",
       "      <td>0.454423</td>\n",
       "      <td>0.483792</td>\n",
       "      <td>0.418496</td>\n",
       "      <td>0.812743</td>\n",
       "      <td>0.709564</td>\n",
       "      <td>0.564896</td>\n",
       "      <td>0.732552</td>\n",
       "      <td>0.484163</td>\n",
       "      <td>0.606638</td>\n",
       "      <td>...</td>\n",
       "      <td>0.751856</td>\n",
       "      <td>0.736864</td>\n",
       "      <td>0.714552</td>\n",
       "      <td>0.708637</td>\n",
       "      <td>0.631477</td>\n",
       "      <td>0.321665</td>\n",
       "      <td>0.561283</td>\n",
       "      <td>0.505008</td>\n",
       "      <td>0.475295</td>\n",
       "      <td>0.600988</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>chr1:156814881-156815792</th>\n",
       "      <td>0.362547</td>\n",
       "      <td>0.617681</td>\n",
       "      <td>0.654537</td>\n",
       "      <td>0.591799</td>\n",
       "      <td>0.759966</td>\n",
       "      <td>0.757354</td>\n",
       "      <td>0.614744</td>\n",
       "      <td>0.726522</td>\n",
       "      <td>0.665208</td>\n",
       "      <td>0.758918</td>\n",
       "      <td>...</td>\n",
       "      <td>0.740034</td>\n",
       "      <td>0.772470</td>\n",
       "      <td>0.559060</td>\n",
       "      <td>0.657284</td>\n",
       "      <td>0.580547</td>\n",
       "      <td>0.519152</td>\n",
       "      <td>0.764549</td>\n",
       "      <td>0.695216</td>\n",
       "      <td>0.689221</td>\n",
       "      <td>0.685501</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>chr1:207082693-207083202</th>\n",
       "      <td>0.446440</td>\n",
       "      <td>0.336897</td>\n",
       "      <td>0.415666</td>\n",
       "      <td>0.398571</td>\n",
       "      <td>0.304605</td>\n",
       "      <td>0.410992</td>\n",
       "      <td>0.457419</td>\n",
       "      <td>0.322039</td>\n",
       "      <td>0.373923</td>\n",
       "      <td>0.385768</td>\n",
       "      <td>...</td>\n",
       "      <td>0.349948</td>\n",
       "      <td>0.325810</td>\n",
       "      <td>0.410755</td>\n",
       "      <td>0.396529</td>\n",
       "      <td>0.410422</td>\n",
       "      <td>0.422794</td>\n",
       "      <td>0.361780</td>\n",
       "      <td>0.491056</td>\n",
       "      <td>0.416722</td>\n",
       "      <td>0.364564</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>chr1:53925191-53926228</th>\n",
       "      <td>0.822021</td>\n",
       "      <td>0.827462</td>\n",
       "      <td>0.832267</td>\n",
       "      <td>0.801143</td>\n",
       "      <td>0.829920</td>\n",
       "      <td>0.832064</td>\n",
       "      <td>0.857326</td>\n",
       "      <td>0.830168</td>\n",
       "      <td>0.820361</td>\n",
       "      <td>0.816314</td>\n",
       "      <td>...</td>\n",
       "      <td>0.814806</td>\n",
       "      <td>0.839655</td>\n",
       "      <td>0.784087</td>\n",
       "      <td>0.810846</td>\n",
       "      <td>0.830775</td>\n",
       "      <td>0.853983</td>\n",
       "      <td>0.859563</td>\n",
       "      <td>0.753983</td>\n",
       "      <td>0.852722</td>\n",
       "      <td>0.820472</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>chr1:52344178-52344939</th>\n",
       "      <td>0.266893</td>\n",
       "      <td>0.228159</td>\n",
       "      <td>0.229141</td>\n",
       "      <td>0.212444</td>\n",
       "      <td>0.208681</td>\n",
       "      <td>0.210467</td>\n",
       "      <td>0.212672</td>\n",
       "      <td>0.183310</td>\n",
       "      <td>0.220200</td>\n",
       "      <td>0.206625</td>\n",
       "      <td>...</td>\n",
       "      <td>0.225773</td>\n",
       "      <td>0.220424</td>\n",
       "      <td>0.221809</td>\n",
       "      <td>0.231898</td>\n",
       "      <td>0.232859</td>\n",
       "      <td>0.255599</td>\n",
       "      <td>0.229914</td>\n",
       "      <td>0.205608</td>\n",
       "      <td>0.212922</td>\n",
       "      <td>0.216637</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>chr22:21505626-21506073</th>\n",
       "      <td>0.790620</td>\n",
       "      <td>0.796110</td>\n",
       "      <td>0.728655</td>\n",
       "      <td>0.727050</td>\n",
       "      <td>0.666095</td>\n",
       "      <td>0.778300</td>\n",
       "      <td>0.787610</td>\n",
       "      <td>0.742930</td>\n",
       "      <td>0.793830</td>\n",
       "      <td>0.716220</td>\n",
       "      <td>...</td>\n",
       "      <td>0.784925</td>\n",
       "      <td>0.749400</td>\n",
       "      <td>0.566580</td>\n",
       "      <td>0.608325</td>\n",
       "      <td>0.774585</td>\n",
       "      <td>0.615155</td>\n",
       "      <td>0.776900</td>\n",
       "      <td>0.747885</td>\n",
       "      <td>0.801755</td>\n",
       "      <td>0.802095</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>chr22:47069523-47069800</th>\n",
       "      <td>0.862676</td>\n",
       "      <td>0.877562</td>\n",
       "      <td>0.863504</td>\n",
       "      <td>0.844476</td>\n",
       "      <td>0.806404</td>\n",
       "      <td>0.861014</td>\n",
       "      <td>0.878504</td>\n",
       "      <td>0.867616</td>\n",
       "      <td>0.877704</td>\n",
       "      <td>0.870330</td>\n",
       "      <td>...</td>\n",
       "      <td>0.871490</td>\n",
       "      <td>0.855450</td>\n",
       "      <td>0.889294</td>\n",
       "      <td>0.763700</td>\n",
       "      <td>0.891046</td>\n",
       "      <td>0.749044</td>\n",
       "      <td>0.868020</td>\n",
       "      <td>0.824082</td>\n",
       "      <td>0.881858</td>\n",
       "      <td>0.877368</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>chr22:35776988-35777221</th>\n",
       "      <td>0.397814</td>\n",
       "      <td>0.345444</td>\n",
       "      <td>0.251739</td>\n",
       "      <td>0.354166</td>\n",
       "      <td>0.261462</td>\n",
       "      <td>0.343465</td>\n",
       "      <td>0.299131</td>\n",
       "      <td>0.354268</td>\n",
       "      <td>0.344127</td>\n",
       "      <td>0.377523</td>\n",
       "      <td>...</td>\n",
       "      <td>0.316924</td>\n",
       "      <td>0.316946</td>\n",
       "      <td>0.341490</td>\n",
       "      <td>0.332391</td>\n",
       "      <td>0.326282</td>\n",
       "      <td>0.381580</td>\n",
       "      <td>0.374372</td>\n",
       "      <td>0.265726</td>\n",
       "      <td>0.440347</td>\n",
       "      <td>0.300746</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>chr22:45132656-45133392</th>\n",
       "      <td>0.781912</td>\n",
       "      <td>0.742106</td>\n",
       "      <td>0.777394</td>\n",
       "      <td>0.765372</td>\n",
       "      <td>0.747000</td>\n",
       "      <td>0.800316</td>\n",
       "      <td>0.395112</td>\n",
       "      <td>0.683074</td>\n",
       "      <td>0.731644</td>\n",
       "      <td>0.849556</td>\n",
       "      <td>...</td>\n",
       "      <td>0.794740</td>\n",
       "      <td>0.810874</td>\n",
       "      <td>0.462352</td>\n",
       "      <td>0.404292</td>\n",
       "      <td>0.765070</td>\n",
       "      <td>0.337920</td>\n",
       "      <td>0.820778</td>\n",
       "      <td>0.549958</td>\n",
       "      <td>0.728710</td>\n",
       "      <td>0.552440</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>chr22:29445638-29446113</th>\n",
       "      <td>0.907360</td>\n",
       "      <td>0.882930</td>\n",
       "      <td>0.878100</td>\n",
       "      <td>0.894065</td>\n",
       "      <td>0.811275</td>\n",
       "      <td>0.856620</td>\n",
       "      <td>0.890585</td>\n",
       "      <td>0.864390</td>\n",
       "      <td>0.841920</td>\n",
       "      <td>0.867740</td>\n",
       "      <td>...</td>\n",
       "      <td>0.835955</td>\n",
       "      <td>0.860100</td>\n",
       "      <td>0.869535</td>\n",
       "      <td>0.865355</td>\n",
       "      <td>0.894285</td>\n",
       "      <td>0.910130</td>\n",
       "      <td>0.849955</td>\n",
       "      <td>0.832610</td>\n",
       "      <td>0.871300</td>\n",
       "      <td>0.875560</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>chr22:19746924-19747141</th>\n",
       "      <td>0.551057</td>\n",
       "      <td>0.877943</td>\n",
       "      <td>0.905327</td>\n",
       "      <td>0.933990</td>\n",
       "      <td>0.906560</td>\n",
       "      <td>0.928367</td>\n",
       "      <td>0.502567</td>\n",
       "      <td>0.874030</td>\n",
       "      <td>0.589383</td>\n",
       "      <td>0.930143</td>\n",
       "      <td>...</td>\n",
       "      <td>0.435207</td>\n",
       "      <td>0.835297</td>\n",
       "      <td>0.486047</td>\n",
       "      <td>0.474243</td>\n",
       "      <td>0.932717</td>\n",
       "      <td>0.458520</td>\n",
       "      <td>0.897977</td>\n",
       "      <td>0.903857</td>\n",
       "      <td>0.926007</td>\n",
       "      <td>0.608057</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>chr22:24321862-24322588</th>\n",
       "      <td>0.902340</td>\n",
       "      <td>0.902980</td>\n",
       "      <td>0.889660</td>\n",
       "      <td>0.882260</td>\n",
       "      <td>0.842290</td>\n",
       "      <td>0.914100</td>\n",
       "      <td>0.884060</td>\n",
       "      <td>0.860080</td>\n",
       "      <td>0.914990</td>\n",
       "      <td>0.872610</td>\n",
       "      <td>...</td>\n",
       "      <td>0.880040</td>\n",
       "      <td>0.883250</td>\n",
       "      <td>0.927170</td>\n",
       "      <td>0.899040</td>\n",
       "      <td>0.906010</td>\n",
       "      <td>0.917100</td>\n",
       "      <td>0.877630</td>\n",
       "      <td>0.887740</td>\n",
       "      <td>0.888470</td>\n",
       "      <td>0.891810</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>chr22:19751653-19751909</th>\n",
       "      <td>0.773202</td>\n",
       "      <td>0.758680</td>\n",
       "      <td>0.856315</td>\n",
       "      <td>0.817162</td>\n",
       "      <td>0.811902</td>\n",
       "      <td>0.864117</td>\n",
       "      <td>0.866842</td>\n",
       "      <td>0.805487</td>\n",
       "      <td>0.825977</td>\n",
       "      <td>0.840407</td>\n",
       "      <td>...</td>\n",
       "      <td>0.827387</td>\n",
       "      <td>0.864748</td>\n",
       "      <td>0.688022</td>\n",
       "      <td>0.721338</td>\n",
       "      <td>0.884272</td>\n",
       "      <td>0.805207</td>\n",
       "      <td>0.823938</td>\n",
       "      <td>0.682118</td>\n",
       "      <td>0.799840</td>\n",
       "      <td>0.864673</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>chr22:20067406-20067900</th>\n",
       "      <td>0.326283</td>\n",
       "      <td>0.308353</td>\n",
       "      <td>0.340926</td>\n",
       "      <td>0.327530</td>\n",
       "      <td>0.279066</td>\n",
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       "      <td>0.313993</td>\n",
       "      <td>0.274505</td>\n",
       "      <td>0.319036</td>\n",
       "      <td>0.261008</td>\n",
       "      <td>...</td>\n",
       "      <td>0.268547</td>\n",
       "      <td>0.313060</td>\n",
       "      <td>0.342663</td>\n",
       "      <td>0.370310</td>\n",
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       "      <td>0.294009</td>\n",
       "      <td>0.307231</td>\n",
       "      <td>0.311372</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>chr22:25816912-25817539</th>\n",
       "      <td>0.850529</td>\n",
       "      <td>0.494864</td>\n",
       "      <td>0.466343</td>\n",
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       "      <td>0.417843</td>\n",
       "      <td>0.708567</td>\n",
       "      <td>0.572720</td>\n",
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       "      <td>0.603706</td>\n",
       "      <td>0.719923</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>chr22:21482297-21482583</th>\n",
       "      <td>0.795140</td>\n",
       "      <td>0.755800</td>\n",
       "      <td>0.794750</td>\n",
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       "      <td>0.741007</td>\n",
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       "      <td>0.756847</td>\n",
       "      <td>0.678687</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>chr22:24316005-24316943</th>\n",
       "      <td>0.924565</td>\n",
       "      <td>0.863855</td>\n",
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       "      <td>0.929280</td>\n",
       "      <td>0.931450</td>\n",
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       "      <td>0.880160</td>\n",
       "      <td>0.920375</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>chr22:47027366-47027910</th>\n",
       "      <td>0.610317</td>\n",
       "      <td>0.702260</td>\n",
       "      <td>0.569833</td>\n",
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       "      <td>0.594403</td>\n",
       "      <td>0.631007</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>chr22:17001042-17002102</th>\n",
       "      <td>0.578851</td>\n",
       "      <td>0.457549</td>\n",
       "      <td>0.620164</td>\n",
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       "      <td>0.698890</td>\n",
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       "      <td>0.536420</td>\n",
       "      <td>0.711809</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>chr22:20427046-20428590</th>\n",
       "      <td>0.609897</td>\n",
       "      <td>0.631863</td>\n",
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       "      <td>0.718460</td>\n",
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       "      <td>0.577567</td>\n",
       "      <td>0.709003</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>chr22:39548102-39548432</th>\n",
       "      <td>0.503379</td>\n",
       "      <td>0.662715</td>\n",
       "      <td>0.530641</td>\n",
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       "      <td>0.605072</td>\n",
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       "      <td>0.560522</td>\n",
       "      <td>0.570018</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>chr22:46859615-46860229</th>\n",
       "      <td>0.768635</td>\n",
       "      <td>0.896536</td>\n",
       "      <td>0.886424</td>\n",
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       "      <td>0.839541</td>\n",
       "      <td>0.731186</td>\n",
       "      <td>0.889524</td>\n",
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       "      <td>0.836016</td>\n",
       "      <td>0.888865</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>chr22:23802501-23802934</th>\n",
       "      <td>0.887373</td>\n",
       "      <td>0.713368</td>\n",
       "      <td>0.819860</td>\n",
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       "      <td>0.736897</td>\n",
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       "      <td>0.868867</td>\n",
       "      <td>0.688855</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>chr22:50725469-50725818</th>\n",
       "      <td>0.842288</td>\n",
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       "      <td>0.795996</td>\n",
       "      <td>0.846456</td>\n",
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       "    <tr>\n",
       "      <th>chr22:49138251-49138522</th>\n",
       "      <td>0.124984</td>\n",
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       "      <td>0.719160</td>\n",
       "      <td>0.506206</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>chr22:25055102-25055388</th>\n",
       "      <td>0.767918</td>\n",
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       "      <td>0.677407</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>chr22:18702544-18702991</th>\n",
       "      <td>0.767660</td>\n",
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       "    <tr>\n",
       "      <th>chr22:49487327-49487535</th>\n",
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       "    <tr>\n",
       "      <th>chr22:49843525-49843755</th>\n",
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       "    <tr>\n",
       "      <th>chr22:23437921-23438431</th>\n",
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       "    <tr>\n",
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       "      <td>0.769220</td>\n",
       "      <td>0.343430</td>\n",
       "      <td>0.406960</td>\n",
       "      <td>0.465340</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>chr22:24308762-24309700</th>\n",
       "      <td>0.917140</td>\n",
       "      <td>0.891170</td>\n",
       "      <td>0.859590</td>\n",
       "      <td>0.900760</td>\n",
       "      <td>0.870780</td>\n",
       "      <td>0.880360</td>\n",
       "      <td>0.887360</td>\n",
       "      <td>0.850650</td>\n",
       "      <td>0.906160</td>\n",
       "      <td>0.870280</td>\n",
       "      <td>...</td>\n",
       "      <td>0.626170</td>\n",
       "      <td>0.851810</td>\n",
       "      <td>0.629760</td>\n",
       "      <td>0.913700</td>\n",
       "      <td>0.733390</td>\n",
       "      <td>0.891340</td>\n",
       "      <td>0.831260</td>\n",
       "      <td>0.908110</td>\n",
       "      <td>0.631280</td>\n",
       "      <td>0.898480</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>chr22:20674706-20675153</th>\n",
       "      <td>0.928570</td>\n",
       "      <td>0.846240</td>\n",
       "      <td>0.880410</td>\n",
       "      <td>0.916530</td>\n",
       "      <td>0.856040</td>\n",
       "      <td>0.898340</td>\n",
       "      <td>0.920580</td>\n",
       "      <td>0.877100</td>\n",
       "      <td>0.905930</td>\n",
       "      <td>0.905200</td>\n",
       "      <td>...</td>\n",
       "      <td>0.911860</td>\n",
       "      <td>0.892110</td>\n",
       "      <td>0.880180</td>\n",
       "      <td>0.810520</td>\n",
       "      <td>0.901130</td>\n",
       "      <td>0.750000</td>\n",
       "      <td>0.891250</td>\n",
       "      <td>0.910770</td>\n",
       "      <td>0.896840</td>\n",
       "      <td>0.762460</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>26313 rows × 81 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                             22RV1     647-V      A549  BFTC-905     BT-20  \\\n",
       "chr1:91190489-91192804    0.721448  0.794850  0.757174  0.670391  0.776307   \n",
       "chr1:230561103-230562702  0.548634  0.438499  0.379540  0.397155  0.599632   \n",
       "chr1:5937157-5937392      0.855258  0.882623  0.865125  0.833689  0.799932   \n",
       "chr1:166958220-166958683  0.735134  0.843234  0.755530  0.821604  0.511313   \n",
       "chr1:43832814-43833073    0.373835  0.342766  0.274094  0.291829  0.266673   \n",
       "chr1:200011400-200012055  0.832400  0.495852  0.418070  0.844214  0.840651   \n",
       "chr1:20960045-20960551    0.393890  0.332474  0.413893  0.363311  0.281845   \n",
       "chr1:1267435-1268986      0.579922  0.871158  0.849732  0.730204  0.762947   \n",
       "chr1:169396621-169396869  0.838916  0.387694  0.628627  0.687007  0.769415   \n",
       "chr1:223566642-223567268  0.270527  0.444124  0.614625  0.442436  0.703009   \n",
       "chr1:57887963-57890637    0.350618  0.371340  0.380686  0.554750  0.716443   \n",
       "chr1:151319326-151319545  0.410076  0.373684  0.353624  0.387371  0.340957   \n",
       "chr1:10757891-10758252    0.889384  0.905172  0.907938  0.889992  0.720296   \n",
       "chr1:12600347-12600556    0.844048  0.852923  0.759317  0.805105  0.632565   \n",
       "chr1:45082739-45083285    0.416444  0.360372  0.767975  0.432623  0.398168   \n",
       "chr1:142618751-142619238  0.541511  0.394569  0.497778  0.596609  0.430309   \n",
       "chr1:17006742-17007151    0.511444  0.564016  0.379434  0.468513  0.697783   \n",
       "chr1:34628783-34630976    0.252896  0.445283  0.324831  0.325188  0.592046   \n",
       "chr1:154474107-154475699  0.625582  0.718842  0.676537  0.554629  0.741792   \n",
       "chr1:160340604-160340843  0.521433  0.657279  0.628884  0.522619  0.580410   \n",
       "chr1:33741774-33742381    0.882876  0.892438  0.845860  0.896888  0.834376   \n",
       "chr1:43996724-43997592    0.596301  0.558503  0.592251  0.576021  0.459301   \n",
       "chr1:1839958-1840601      0.482268  0.424927  0.461612  0.444086  0.378800   \n",
       "chr1:205179963-205180910  0.387136  0.375241  0.366846  0.404801  0.390189   \n",
       "chr1:153755957-153756335  0.326760  0.313490  0.276593  0.296518  0.255250   \n",
       "chr1:179711947-179713951  0.445659  0.454423  0.483792  0.418496  0.812743   \n",
       "chr1:156814881-156815792  0.362547  0.617681  0.654537  0.591799  0.759966   \n",
       "chr1:207082693-207083202  0.446440  0.336897  0.415666  0.398571  0.304605   \n",
       "chr1:53925191-53926228    0.822021  0.827462  0.832267  0.801143  0.829920   \n",
       "chr1:52344178-52344939    0.266893  0.228159  0.229141  0.212444  0.208681   \n",
       "...                            ...       ...       ...       ...       ...   \n",
       "chr22:21505626-21506073   0.790620  0.796110  0.728655  0.727050  0.666095   \n",
       "chr22:47069523-47069800   0.862676  0.877562  0.863504  0.844476  0.806404   \n",
       "chr22:35776988-35777221   0.397814  0.345444  0.251739  0.354166  0.261462   \n",
       "chr22:45132656-45133392   0.781912  0.742106  0.777394  0.765372  0.747000   \n",
       "chr22:29445638-29446113   0.907360  0.882930  0.878100  0.894065  0.811275   \n",
       "chr22:19746924-19747141   0.551057  0.877943  0.905327  0.933990  0.906560   \n",
       "chr22:24321862-24322588   0.902340  0.902980  0.889660  0.882260  0.842290   \n",
       "chr22:19751653-19751909   0.773202  0.758680  0.856315  0.817162  0.811902   \n",
       "chr22:20067406-20067900   0.326283  0.308353  0.340926  0.327530  0.279066   \n",
       "chr22:25816912-25817539   0.850529  0.494864  0.466343  0.596193  0.792069   \n",
       "chr22:21482297-21482583   0.795140  0.755800  0.794750  0.756867  0.758890   \n",
       "chr22:24316005-24316943   0.924565  0.863855  0.918130  0.925925  0.884875   \n",
       "chr22:47027366-47027910   0.610317  0.702260  0.569833  0.779120  0.562277   \n",
       "chr22:17001042-17002102   0.578851  0.457549  0.620164  0.682457  0.713277   \n",
       "chr22:20427046-20428590   0.609897  0.631863  0.636097  0.596727  0.656377   \n",
       "chr22:39548102-39548432   0.503379  0.662715  0.530641  0.597452  0.503340   \n",
       "chr22:46859615-46860229   0.768635  0.896536  0.886424  0.895441  0.813368   \n",
       "chr22:23802501-23802934   0.887373  0.713368  0.819860  0.530815  0.751667   \n",
       "chr22:50725469-50725818   0.842288  0.872302  0.843854  0.867138  0.805554   \n",
       "chr22:49138251-49138522   0.124984  0.148182  0.750154  0.605648  0.514672   \n",
       "chr22:25055102-25055388   0.767918  0.777325  0.780687  0.635827  0.750850   \n",
       "chr22:18702544-18702991   0.767660  0.723255  0.839040  0.816705  0.811935   \n",
       "chr22:49487327-49487535   0.194048  0.167618  0.635203  0.270363  0.531118   \n",
       "chr22:49843525-49843755   0.196360  0.201737  0.664647  0.579080  0.814133   \n",
       "chr22:23437921-23438431   0.792956  0.748674  0.830528  0.454332  0.832092   \n",
       "chr22:21737975-21740181   0.831170  0.791460  0.790050  0.731240  0.649310   \n",
       "chr22:18820935-18821262   0.898140  0.851750  0.877140  0.880670  0.805260   \n",
       "chr22:50421660-50422491   0.136140  0.167260  0.296360  0.167040  0.902450   \n",
       "chr22:24308762-24309700   0.917140  0.891170  0.859590  0.900760  0.870780   \n",
       "chr22:20674706-20675153   0.928570  0.846240  0.880410  0.916530  0.856040   \n",
       "\n",
       "                            BT-474    BT-549       C32   CAL-120   CAL-148  \\\n",
       "chr1:91190489-91192804    0.595175  0.631357  0.818692  0.708360  0.636477   \n",
       "chr1:230561103-230562702  0.560515  0.487595  0.529199  0.503532  0.473723   \n",
       "chr1:5937157-5937392      0.829530  0.867833  0.829281  0.863972  0.841697   \n",
       "chr1:166958220-166958683  0.817331  0.815781  0.706106  0.815127  0.846426   \n",
       "chr1:43832814-43833073    0.340050  0.344933  0.334399  0.279333  0.340005   \n",
       "chr1:200011400-200012055  0.459881  0.487692  0.574676  0.354246  0.614351   \n",
       "chr1:20960045-20960551    0.382806  0.321202  0.338454  0.353092  0.352917   \n",
       "chr1:1267435-1268986      0.813393  0.618156  0.788437  0.823841  0.822300   \n",
       "chr1:169396621-169396869  0.866743  0.824505  0.382242  0.863825  0.867138   \n",
       "chr1:223566642-223567268  0.545878  0.592376  0.588857  0.739937  0.549718   \n",
       "chr1:57887963-57890637    0.522146  0.373131  0.516470  0.463326  0.377800   \n",
       "chr1:151319326-151319545  0.344021  0.373492  0.334571  0.357436  0.345892   \n",
       "chr1:10757891-10758252    0.703804  0.882174  0.892036  0.879536  0.727882   \n",
       "chr1:12600347-12600556    0.801633  0.586362  0.843388  0.817330  0.830792   \n",
       "chr1:45082739-45083285    0.515442  0.527783  0.524570  0.400992  0.509347   \n",
       "chr1:142618751-142619238  0.488258  0.538661  0.476813  0.574436  0.542887   \n",
       "chr1:17006742-17007151    0.755689  0.697407  0.655126  0.641471  0.733030   \n",
       "chr1:34628783-34630976    0.428308  0.398736  0.345189  0.467317  0.387811   \n",
       "chr1:154474107-154475699  0.723580  0.690731  0.744985  0.653356  0.718427   \n",
       "chr1:160340604-160340843  0.679646  0.578428  0.690916  0.599571  0.681607   \n",
       "chr1:33741774-33742381    0.865596  0.873088  0.854082  0.851836  0.853028   \n",
       "chr1:43996724-43997592    0.436925  0.546715  0.578770  0.454618  0.464914   \n",
       "chr1:1839958-1840601      0.329765  0.373271  0.399012  0.462208  0.456611   \n",
       "chr1:205179963-205180910  0.386501  0.373484  0.348668  0.413693  0.391318   \n",
       "chr1:153755957-153756335  0.229339  0.268489  0.287179  0.262899  0.262984   \n",
       "chr1:179711947-179713951  0.709564  0.564896  0.732552  0.484163  0.606638   \n",
       "chr1:156814881-156815792  0.757354  0.614744  0.726522  0.665208  0.758918   \n",
       "chr1:207082693-207083202  0.410992  0.457419  0.322039  0.373923  0.385768   \n",
       "chr1:53925191-53926228    0.832064  0.857326  0.830168  0.820361  0.816314   \n",
       "chr1:52344178-52344939    0.210467  0.212672  0.183310  0.220200  0.206625   \n",
       "...                            ...       ...       ...       ...       ...   \n",
       "chr22:21505626-21506073   0.778300  0.787610  0.742930  0.793830  0.716220   \n",
       "chr22:47069523-47069800   0.861014  0.878504  0.867616  0.877704  0.870330   \n",
       "chr22:35776988-35777221   0.343465  0.299131  0.354268  0.344127  0.377523   \n",
       "chr22:45132656-45133392   0.800316  0.395112  0.683074  0.731644  0.849556   \n",
       "chr22:29445638-29446113   0.856620  0.890585  0.864390  0.841920  0.867740   \n",
       "chr22:19746924-19747141   0.928367  0.502567  0.874030  0.589383  0.930143   \n",
       "chr22:24321862-24322588   0.914100  0.884060  0.860080  0.914990  0.872610   \n",
       "chr22:19751653-19751909   0.864117  0.866842  0.805487  0.825977  0.840407   \n",
       "chr22:20067406-20067900   0.267372  0.313993  0.274505  0.319036  0.261008   \n",
       "chr22:25816912-25817539   0.427573  0.582194  0.660643  0.434687  0.671267   \n",
       "chr22:21482297-21482583   0.737550  0.690207  0.723140  0.659233  0.738907   \n",
       "chr22:24316005-24316943   0.894895  0.907990  0.901665  0.900555  0.863290   \n",
       "chr22:47027366-47027910   0.698690  0.713563  0.708070  0.584820  0.766770   \n",
       "chr22:17001042-17002102   0.653353  0.678730  0.567993  0.747886  0.660983   \n",
       "chr22:20427046-20428590   0.637887  0.627007  0.573454  0.643940  0.593483   \n",
       "chr22:39548102-39548432   0.467830  0.375823  0.668653  0.618633  0.508093   \n",
       "chr22:46859615-46860229   0.847300  0.880826  0.853510  0.809913  0.848144   \n",
       "chr22:23802501-23802934   0.743455  0.833230  0.694623  0.719477  0.753158   \n",
       "chr22:50725469-50725818   0.821488  0.900390  0.873950  0.836068  0.861908   \n",
       "chr22:49138251-49138522   0.777164  0.485962  0.633008  0.618392  0.836478   \n",
       "chr22:25055102-25055388   0.767495  0.697743  0.780848  0.816600  0.758980   \n",
       "chr22:18702544-18702991   0.802765  0.763460  0.849020  0.852620  0.788050   \n",
       "chr22:49487327-49487535   0.742297  0.249393  0.469738  0.316113  0.699688   \n",
       "chr22:49843525-49843755   0.499027  0.515557  0.826390  0.619413  0.438507   \n",
       "chr22:23437921-23438431   0.833732  0.851066  0.852086  0.771068  0.882452   \n",
       "chr22:21737975-21740181   0.734740  0.809670  0.674380  0.675790  0.803050   \n",
       "chr22:18820935-18821262   0.853500  0.761570  0.799850  0.838470  0.821110   \n",
       "chr22:50421660-50422491   0.530760  0.661000  0.175680  0.882200  0.863120   \n",
       "chr22:24308762-24309700   0.880360  0.887360  0.850650  0.906160  0.870280   \n",
       "chr22:20674706-20675153   0.898340  0.920580  0.877100  0.905930  0.905200   \n",
       "\n",
       "                            ...        SW837     SW900     SW948      T-24  \\\n",
       "chr1:91190489-91192804      ...     0.777035  0.838035  0.693786  0.772520   \n",
       "chr1:230561103-230562702    ...     0.352446  0.551876  0.309111  0.415686   \n",
       "chr1:5937157-5937392        ...     0.827683  0.843012  0.876330  0.871788   \n",
       "chr1:166958220-166958683    ...     0.835246  0.866354  0.769079  0.763839   \n",
       "chr1:43832814-43833073      ...     0.285086  0.295572  0.356639  0.392305   \n",
       "chr1:200011400-200012055    ...     0.363782  0.545619  0.359223  0.834020   \n",
       "chr1:20960045-20960551      ...     0.327443  0.342893  0.331911  0.348881   \n",
       "chr1:1267435-1268986        ...     0.677910  0.720069  0.588203  0.621413   \n",
       "chr1:169396621-169396869    ...     0.841688  0.377850  0.796066  0.677602   \n",
       "chr1:223566642-223567268    ...     0.637584  0.557554  0.432284  0.364709   \n",
       "chr1:57887963-57890637      ...     0.727333  0.643514  0.767352  0.497662   \n",
       "chr1:151319326-151319545    ...     0.339761  0.329973  0.365940  0.361144   \n",
       "chr1:10757891-10758252      ...     0.873758  0.899586  0.896380  0.773158   \n",
       "chr1:12600347-12600556      ...     0.428019  0.473977  0.780442  0.513583   \n",
       "chr1:45082739-45083285      ...     0.576266  0.840227  0.501649  0.434470   \n",
       "chr1:142618751-142619238    ...     0.520157  0.566351  0.480264  0.519723   \n",
       "chr1:17006742-17007151      ...     0.408316  0.474276  0.580104  0.670454   \n",
       "chr1:34628783-34630976      ...     0.639858  0.417081  0.714207  0.543112   \n",
       "chr1:154474107-154475699    ...     0.656067  0.741260  0.683028  0.736428   \n",
       "chr1:160340604-160340843    ...     0.651837  0.721142  0.554710  0.600961   \n",
       "chr1:33741774-33742381      ...     0.842528  0.874868  0.787794  0.873802   \n",
       "chr1:43996724-43997592      ...     0.558638  0.582011  0.567552  0.559757   \n",
       "chr1:1839958-1840601        ...     0.381611  0.459648  0.443999  0.420944   \n",
       "chr1:205179963-205180910    ...     0.371345  0.403010  0.380136  0.389869   \n",
       "chr1:153755957-153756335    ...     0.243810  0.264255  0.310240  0.285306   \n",
       "chr1:179711947-179713951    ...     0.751856  0.736864  0.714552  0.708637   \n",
       "chr1:156814881-156815792    ...     0.740034  0.772470  0.559060  0.657284   \n",
       "chr1:207082693-207083202    ...     0.349948  0.325810  0.410755  0.396529   \n",
       "chr1:53925191-53926228      ...     0.814806  0.839655  0.784087  0.810846   \n",
       "chr1:52344178-52344939      ...     0.225773  0.220424  0.221809  0.231898   \n",
       "...                         ...          ...       ...       ...       ...   \n",
       "chr22:21505626-21506073     ...     0.784925  0.749400  0.566580  0.608325   \n",
       "chr22:47069523-47069800     ...     0.871490  0.855450  0.889294  0.763700   \n",
       "chr22:35776988-35777221     ...     0.316924  0.316946  0.341490  0.332391   \n",
       "chr22:45132656-45133392     ...     0.794740  0.810874  0.462352  0.404292   \n",
       "chr22:29445638-29446113     ...     0.835955  0.860100  0.869535  0.865355   \n",
       "chr22:19746924-19747141     ...     0.435207  0.835297  0.486047  0.474243   \n",
       "chr22:24321862-24322588     ...     0.880040  0.883250  0.927170  0.899040   \n",
       "chr22:19751653-19751909     ...     0.827387  0.864748  0.688022  0.721338   \n",
       "chr22:20067406-20067900     ...     0.268547  0.313060  0.342663  0.370310   \n",
       "chr22:25816912-25817539     ...     0.417843  0.708567  0.572720  0.656861   \n",
       "chr22:21482297-21482583     ...     0.777383  0.714973  0.741007  0.591713   \n",
       "chr22:24316005-24316943     ...     0.907065  0.902685  0.929280  0.931450   \n",
       "chr22:47027366-47027910     ...     0.574653  0.597073  0.567050  0.473153   \n",
       "chr22:17001042-17002102     ...     0.637264  0.698890  0.569926  0.583400   \n",
       "chr22:20427046-20428590     ...     0.534240  0.723350  0.718460  0.802420   \n",
       "chr22:39548102-39548432     ...     0.446277  0.605072  0.422265  0.516567   \n",
       "chr22:46859615-46860229     ...     0.865169  0.839541  0.731186  0.889524   \n",
       "chr22:23802501-23802934     ...     0.736897  0.837862  0.851015  0.628653   \n",
       "chr22:50725469-50725818     ...     0.712638  0.861032  0.817588  0.879912   \n",
       "chr22:49138251-49138522     ...     0.765202  0.613090  0.470824  0.399330   \n",
       "chr22:25055102-25055388     ...     0.773010  0.756208  0.710915  0.658150   \n",
       "chr22:18702544-18702991     ...     0.773650  0.836655  0.788045  0.666085   \n",
       "chr22:49487327-49487535     ...     0.706717  0.626330  0.478347  0.213358   \n",
       "chr22:49843525-49843755     ...     0.863003  0.776013  0.730933  0.546667   \n",
       "chr22:23437921-23438431     ...     0.840782  0.863182  0.788802  0.604440   \n",
       "chr22:21737975-21740181     ...     0.744850  0.752880  0.735450  0.687840   \n",
       "chr22:18820935-18821262     ...     0.854180  0.836990  0.763360  0.821180   \n",
       "chr22:50421660-50422491     ...     0.200010  0.155450  0.657420  0.577010   \n",
       "chr22:24308762-24309700     ...     0.626170  0.851810  0.629760  0.913700   \n",
       "chr22:20674706-20675153     ...     0.911860  0.892110  0.880180  0.810520   \n",
       "\n",
       "                              T47D    TCCSUP  UACC-812   UM-UC-3      VCaP  \\\n",
       "chr1:91190489-91192804    0.644643  0.584588  0.821878  0.761377  0.634385   \n",
       "chr1:230561103-230562702  0.377423  0.319003  0.532013  0.422074  0.352268   \n",
       "chr1:5937157-5937392      0.891672  0.912338  0.847513  0.815598  0.824353   \n",
       "chr1:166958220-166958683  0.670178  0.662619  0.811266  0.666448  0.863199   \n",
       "chr1:43832814-43833073    0.352019  0.391685  0.276487  0.293689  0.374557   \n",
       "chr1:200011400-200012055  0.328477  0.529213  0.392362  0.566266  0.552753   \n",
       "chr1:20960045-20960551    0.330734  0.389571  0.362439  0.342247  0.307868   \n",
       "chr1:1267435-1268986      0.872530  0.753287  0.775234  0.801901  0.821590   \n",
       "chr1:169396621-169396869  0.693408  0.335319  0.876255  0.304483  0.801445   \n",
       "chr1:223566642-223567268  0.518033  0.305687  0.525836  0.430932  0.649721   \n",
       "chr1:57887963-57890637    0.377931  0.290279  0.490357  0.351718  0.315090   \n",
       "chr1:151319326-151319545  0.383024  0.438226  0.323961  0.328509  0.341177   \n",
       "chr1:10757891-10758252    0.785070  0.895150  0.735926  0.894594  0.910632   \n",
       "chr1:12600347-12600556    0.789147  0.609932  0.840657  0.802617  0.819342   \n",
       "chr1:45082739-45083285    0.416526  0.401640  0.605575  0.682154  0.455890   \n",
       "chr1:142618751-142619238  0.382511  0.516074  0.435322  0.533182  0.416604   \n",
       "chr1:17006742-17007151    0.621596  0.501359  0.573593  0.498583  0.687337   \n",
       "chr1:34628783-34630976    0.374740  0.610884  0.467109  0.393843  0.415668   \n",
       "chr1:154474107-154475699  0.731131  0.592848  0.661840  0.721546  0.694471   \n",
       "chr1:160340604-160340843  0.574339  0.521752  0.672272  0.549017  0.530656   \n",
       "chr1:33741774-33742381    0.880206  0.902390  0.848422  0.865868  0.874994   \n",
       "chr1:43996724-43997592    0.439177  0.615843  0.505058  0.559838  0.563203   \n",
       "chr1:1839958-1840601      0.387565  0.450701  0.398224  0.471764  0.478615   \n",
       "chr1:205179963-205180910  0.344353  0.326118  0.352469  0.354231  0.310195   \n",
       "chr1:153755957-153756335  0.330500  0.360328  0.281385  0.262304  0.234981   \n",
       "chr1:179711947-179713951  0.631477  0.321665  0.561283  0.505008  0.475295   \n",
       "chr1:156814881-156815792  0.580547  0.519152  0.764549  0.695216  0.689221   \n",
       "chr1:207082693-207083202  0.410422  0.422794  0.361780  0.491056  0.416722   \n",
       "chr1:53925191-53926228    0.830775  0.853983  0.859563  0.753983  0.852722   \n",
       "chr1:52344178-52344939    0.232859  0.255599  0.229914  0.205608  0.212922   \n",
       "...                            ...       ...       ...       ...       ...   \n",
       "chr22:21505626-21506073   0.774585  0.615155  0.776900  0.747885  0.801755   \n",
       "chr22:47069523-47069800   0.891046  0.749044  0.868020  0.824082  0.881858   \n",
       "chr22:35776988-35777221   0.326282  0.381580  0.374372  0.265726  0.440347   \n",
       "chr22:45132656-45133392   0.765070  0.337920  0.820778  0.549958  0.728710   \n",
       "chr22:29445638-29446113   0.894285  0.910130  0.849955  0.832610  0.871300   \n",
       "chr22:19746924-19747141   0.932717  0.458520  0.897977  0.903857  0.926007   \n",
       "chr22:24321862-24322588   0.906010  0.917100  0.877630  0.887740  0.888470   \n",
       "chr22:19751653-19751909   0.884272  0.805207  0.823938  0.682118  0.799840   \n",
       "chr22:20067406-20067900   0.333915  0.379352  0.333875  0.294009  0.307231   \n",
       "chr22:25816912-25817539   0.462184  0.459856  0.501257  0.364167  0.603706   \n",
       "chr22:21482297-21482583   0.830053  0.609693  0.801677  0.673747  0.756847   \n",
       "chr22:24316005-24316943   0.922650  0.867745  0.880035  0.909730  0.880160   \n",
       "chr22:47027366-47027910   0.723953  0.629037  0.749807  0.573343  0.594403   \n",
       "chr22:17001042-17002102   0.550091  0.515054  0.696891  0.571601  0.536420   \n",
       "chr22:20427046-20428590   0.675953  0.665613  0.634683  0.611107  0.577567   \n",
       "chr22:39548102-39548432   0.392377  0.644385  0.510442  0.617800  0.560522   \n",
       "chr22:46859615-46860229   0.870158  0.599340  0.808124  0.847916  0.836016   \n",
       "chr22:23802501-23802934   0.807975  0.489885  0.750497  0.588023  0.868867   \n",
       "chr22:50725469-50725818   0.833726  0.904926  0.788418  0.827256  0.795996   \n",
       "chr22:49138251-49138522   0.130732  0.220262  0.749714  0.509676  0.719160   \n",
       "chr22:25055102-25055388   0.752445  0.577263  0.755630  0.766577  0.776763   \n",
       "chr22:18702544-18702991   0.800725  0.561690  0.824030  0.787935  0.762680   \n",
       "chr22:49487327-49487535   0.196308  0.253133  0.672393  0.282489  0.719705   \n",
       "chr22:49843525-49843755   0.421710  0.589073  0.736807  0.527747  0.618063   \n",
       "chr22:23437921-23438431   0.725154  0.407136  0.864558  0.805790  0.859852   \n",
       "chr22:21737975-21740181   0.844550  0.871850  0.692700  0.680660  0.820300   \n",
       "chr22:18820935-18821262   0.897090  0.728720  0.840390  0.897470  0.859600   \n",
       "chr22:50421660-50422491   0.437610  0.467920  0.769220  0.343430  0.406960   \n",
       "chr22:24308762-24309700   0.733390  0.891340  0.831260  0.908110  0.631280   \n",
       "chr22:20674706-20675153   0.901130  0.750000  0.891250  0.910770  0.896840   \n",
       "\n",
       "                          VM-CUB-1  \n",
       "chr1:91190489-91192804    0.752399  \n",
       "chr1:230561103-230562702  0.654325  \n",
       "chr1:5937157-5937392      0.873546  \n",
       "chr1:166958220-166958683  0.774044  \n",
       "chr1:43832814-43833073    0.326064  \n",
       "chr1:200011400-200012055  0.727500  \n",
       "chr1:20960045-20960551    0.335797  \n",
       "chr1:1267435-1268986      0.501657  \n",
       "chr1:169396621-169396869  0.896669  \n",
       "chr1:223566642-223567268  0.432044  \n",
       "chr1:57887963-57890637    0.665474  \n",
       "chr1:151319326-151319545  0.352734  \n",
       "chr1:10757891-10758252    0.899466  \n",
       "chr1:12600347-12600556    0.444857  \n",
       "chr1:45082739-45083285    0.484960  \n",
       "chr1:142618751-142619238  0.490210  \n",
       "chr1:17006742-17007151    0.614180  \n",
       "chr1:34628783-34630976    0.697557  \n",
       "chr1:154474107-154475699  0.759292  \n",
       "chr1:160340604-160340843  0.554198  \n",
       "chr1:33741774-33742381    0.876618  \n",
       "chr1:43996724-43997592    0.532505  \n",
       "chr1:1839958-1840601      0.342931  \n",
       "chr1:205179963-205180910  0.389905  \n",
       "chr1:153755957-153756335  0.287943  \n",
       "chr1:179711947-179713951  0.600988  \n",
       "chr1:156814881-156815792  0.685501  \n",
       "chr1:207082693-207083202  0.364564  \n",
       "chr1:53925191-53926228    0.820472  \n",
       "chr1:52344178-52344939    0.216637  \n",
       "...                            ...  \n",
       "chr22:21505626-21506073   0.802095  \n",
       "chr22:47069523-47069800   0.877368  \n",
       "chr22:35776988-35777221   0.300746  \n",
       "chr22:45132656-45133392   0.552440  \n",
       "chr22:29445638-29446113   0.875560  \n",
       "chr22:19746924-19747141   0.608057  \n",
       "chr22:24321862-24322588   0.891810  \n",
       "chr22:19751653-19751909   0.864673  \n",
       "chr22:20067406-20067900   0.311372  \n",
       "chr22:25816912-25817539   0.719923  \n",
       "chr22:21482297-21482583   0.678687  \n",
       "chr22:24316005-24316943   0.920375  \n",
       "chr22:47027366-47027910   0.631007  \n",
       "chr22:17001042-17002102   0.711809  \n",
       "chr22:20427046-20428590   0.709003  \n",
       "chr22:39548102-39548432   0.570018  \n",
       "chr22:46859615-46860229   0.888865  \n",
       "chr22:23802501-23802934   0.688855  \n",
       "chr22:50725469-50725818   0.846456  \n",
       "chr22:49138251-49138522   0.506206  \n",
       "chr22:25055102-25055388   0.677407  \n",
       "chr22:18702544-18702991   0.773690  \n",
       "chr22:49487327-49487535   0.412873  \n",
       "chr22:49843525-49843755   0.767973  \n",
       "chr22:23437921-23438431   0.525278  \n",
       "chr22:21737975-21740181   0.796170  \n",
       "chr22:18820935-18821262   0.873600  \n",
       "chr22:50421660-50422491   0.465340  \n",
       "chr22:24308762-24309700   0.898480  \n",
       "chr22:20674706-20675153   0.762460  \n",
       "\n",
       "[26313 rows x 81 columns]"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "methyl"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def get_correlation(methyl_file):\n",
    "    corr = []\n",
    "    all_x = []\n",
    "    all_y = []\n",
    "    for i in range(locus_gene.shape[0]): \n",
    "        x = methyl_file.ix[locus_gene.iloc[i]['loci']] # methylation values of each cell line (per gene index)\n",
    "        y = gex.ix[locus_gene.ix[i]['grch38_gene_name']] # gene expr values of each cell line\n",
    "        corr.append(np.asarray(stats.pearsonr(x, y))) # pearson correlation for that gene\n",
    "        all_x.append(np.asarray(x))\n",
    "        all_y.append(np.asarray(y))\n",
    "    \n",
    "    mean_pearson = np.array(corr)[:, 0].mean()\n",
    "    mean_pval = np.array(corr)[:, 1].mean()\n",
    "    mean_x = np.mean(np.array(all_x), axis=1) # average methylation per gene\n",
    "    mean_y = np.mean(np.array(all_y), axis=1) # average gene expr per gene\n",
    "    \n",
    "    return {'pearson': mean_pearson, 'pval': mean_pval, 'mean_x': mean_x, 'mean_y': mean_y}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "corr = get_correlation(methyl)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-0.023369995351588138"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "corr['pearson']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.3816794831323666"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "corr['pval']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-0.021050541271378904, 0.019208284978574439)"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "stats.pearsonr(corr['mean_x'], corr['mean_y'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[]"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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3tCedG9gUsfCIVOG7yrPBn8d9LzZ86oc8J0nJjt1rWhiN8sXMuddz+82EOt0a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\nEhpEEqQSEhISEhISEhrE/wfk6W2QNo1eWAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10ca8c6d8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(corr['mean_x'], corr['mean_y'])\n",
    "plt.plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(-0.021627483199960384, 0.84802078454948704)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<function matplotlib.pyplot.plot>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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TtGb7yohYa2v2sKT3SXrbqDoKAEWW1x5MkzCFyP5TqJKBpgJtnyvpkKSFiDje5f6PS3o8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\nJEKwAgAASIRgBQAAkAjBCgAAIJH/DyRxerUWa6FsAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x108fd89e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sample_x = methyl.ix[locus_gene.iloc[1]['loci']]\n",
    "sample_y = gex.ix[locus_gene.ix[1]['grch38_gene_name']]\n",
    "print(stats.pearsonr(sample_x, sample_y))\n",
    "plt.scatter(sample_x, sample_y)\n",
    "plt.plot"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Methylation M scores"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "methyl_m = pd.DataFrame.from_csv('Sanger_molecular_data/methyl/CpG_isle_level/methyl_ilse_m.csv', header=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "methyl_m.drop('NCI-H1437', axis=1, inplace=True)\n",
    "methyl_m = methyl_m[gex.columns]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "corr_m = get_correlation(methyl_m)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-0.026732545205798073"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "corr_m['pearson']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.37953851614985495"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "corr_m['pval']"
   ]
  }
 ],
 "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": "3.4.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}