PA-multiple-sources.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "library(SummarizedExperiment)\n",
    "library(VariantAnnotation)\n",
    "library(Rtsne)\n",
    "library(ggplot2)\n",
    "library(gplots)\n",
    "library(dplyr)\n",
    "library(irlba)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "      .     0/0     0/1     0/2     0/3     1/1 \n",
       "    346 1434753    5506     199       9    5562 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "vcf <- readRDS('~/Dropbox/mixed/original/Map_K10_VBC_CLI.whitelist.noindel.rds')\n",
    "GT <- geno(vcf)$GT\n",
    "table(c(GT))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th></th><th scope=col>SeqID</th><th scope=col>SampleID</th><th scope=col>CowID</th><th scope=col>State</th><th scope=col>Farm</th><th scope=col>Type</th><th scope=col>Mix</th><th scope=col>Date</th><th scope=col>uniID</th><th scope=col>Type2</th><th scope=col>Type2_num</th><th scope=col>Contamination</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>MAP129</th><td>MAP129                  </td><td>129                     </td><td>1283                    </td><td>NY                      </td><td> 9                      </td><td>tissue                  </td><td>1                       </td><td>2006                    </td><td>NY_1283                 </td><td>Ileum_20cm_from_IC_Valve</td><td>  4                     </td><td>0                       </td></tr>\n",
       "\t<tr><th scope=row>MAP381</th><td>MAP381                  </td><td>381                     </td><td>9999                    </td><td>VT                      </td><td>11                      </td><td>environmental           </td><td>0                       </td><td>2004                    </td><td>VT_9999                 </td><td>environmental           </td><td>100                     </td><td>0                       </td></tr>\n",
       "\t<tr><th scope=row>MAP350</th><td>MAP350                  </td><td>350                     </td><td> 228                    </td><td>PA                      </td><td>10                      </td><td>tissue                  </td><td>0                       </td><td>2008                    </td><td>PA_228                  </td><td>LymphNode2              </td><td>  6                     </td><td>0                       </td></tr>\n",
       "\t<tr><th scope=row>MAP022</th><td>MAP022                  </td><td> 22                     </td><td>1085                    </td><td>NY                      </td><td> 9                      </td><td>fecal                   </td><td>0                       </td><td>2004                    </td><td>NY_1085                 </td><td>fecal                   </td><td>  1                     </td><td>0                       </td></tr>\n",
       "\t<tr><th scope=row>MAP514</th><td>MAP514                  </td><td>514                     </td><td> 506                    </td><td>VT                      </td><td>11                      </td><td>fecal                   </td><td>0                       </td><td>2007                    </td><td>VT_506                  </td><td>fecal                   </td><td>  1                     </td><td>0                       </td></tr>\n",
       "\t<tr><th scope=row>MAP545</th><td>MAP545                  </td><td>545                     </td><td> 120                    </td><td>VT                      </td><td>11                      </td><td>tissue                  </td><td>0                       </td><td>2007                    </td><td>VT_120                  </td><td>Ileum_20cm_from_IC_Valve</td><td>  4                     </td><td>0                       </td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|llllllllllll}\n",
       "  & SeqID & SampleID & CowID & State & Farm & Type & Mix & Date & uniID & Type2 & Type2\\_num & Contamination\\\\\n",
       "\\hline\n",
       "\tMAP129 & MAP129                           & 129                              & 1283                             & NY                               &  9                               & tissue                           & 1                                & 2006                             & NY\\_1283                        & Ileum\\_20cm\\_from\\_IC\\_Valve &   4                              & 0                               \\\\\n",
       "\tMAP381 & MAP381                   & 381                      & 9999                     & VT                       & 11                       & environmental            & 0                        & 2004                     & VT\\_9999                & environmental            & 100                      & 0                       \\\\\n",
       "\tMAP350 & MAP350                   & 350                      &  228                     & PA                       & 10                       & tissue                   & 0                        & 2008                     & PA\\_228                 & LymphNode2               &   6                      & 0                       \\\\\n",
       "\tMAP022 & MAP022                   &  22                      & 1085                     & NY                       &  9                       & fecal                    & 0                        & 2004                     & NY\\_1085                & fecal                    &   1                      & 0                       \\\\\n",
       "\tMAP514 & MAP514                   & 514                      &  506                     & VT                       & 11                       & fecal                    & 0                        & 2007                     & VT\\_506                 & fecal                    &   1                      & 0                       \\\\\n",
       "\tMAP545 & MAP545                           & 545                              &  120                             & VT                               & 11                               & tissue                           & 0                                & 2007                             & VT\\_120                         & Ileum\\_20cm\\_from\\_IC\\_Valve &   4                              & 0                               \\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "| <!--/--> | SeqID | SampleID | CowID | State | Farm | Type | Mix | Date | uniID | Type2 | Type2_num | Contamination |\n",
       "|---|---|---|---|---|---|---|---|---|---|---|---|---|\n",
       "| MAP129 | MAP129                   | 129                      | 1283                     | NY                       |  9                       | tissue                   | 1                        | 2006                     | NY_1283                  | Ileum_20cm_from_IC_Valve |   4                      | 0                        |\n",
       "| MAP381 | MAP381                   | 381                      | 9999                     | VT                       | 11                       | environmental            | 0                        | 2004                     | VT_9999                  | environmental            | 100                      | 0                        |\n",
       "| MAP350 | MAP350                   | 350                      |  228                     | PA                       | 10                       | tissue                   | 0                        | 2008                     | PA_228                   | LymphNode2               |   6                      | 0                        |\n",
       "| MAP022 | MAP022                   |  22                      | 1085                     | NY                       |  9                       | fecal                    | 0                        | 2004                     | NY_1085                  | fecal                    |   1                      | 0                        |\n",
       "| MAP514 | MAP514                   | 514                      |  506                     | VT                       | 11                       | fecal                    | 0                        | 2007                     | VT_506                   | fecal                    |   1                      | 0                        |\n",
       "| MAP545 | MAP545                   | 545                      |  120                     | VT                       | 11                       | tissue                   | 0                        | 2007                     | VT_120                   | Ileum_20cm_from_IC_Valve |   4                      | 0                        |\n",
       "\n"
      ],
      "text/plain": [
       "       SeqID  SampleID CowID State Farm Type          Mix Date uniID  \n",
       "MAP129 MAP129 129      1283  NY     9   tissue        1   2006 NY_1283\n",
       "MAP381 MAP381 381      9999  VT    11   environmental 0   2004 VT_9999\n",
       "MAP350 MAP350 350       228  PA    10   tissue        0   2008 PA_228 \n",
       "MAP022 MAP022  22      1085  NY     9   fecal         0   2004 NY_1085\n",
       "MAP514 MAP514 514       506  VT    11   fecal         0   2007 VT_506 \n",
       "MAP545 MAP545 545       120  VT    11   tissue        0   2007 VT_120 \n",
       "       Type2                    Type2_num Contamination\n",
       "MAP129 Ileum_20cm_from_IC_Valve   4       0            \n",
       "MAP381 environmental            100       0            \n",
       "MAP350 LymphNode2                 6       0            \n",
       "MAP022 fecal                      1       0            \n",
       "MAP514 fecal                      1       0            \n",
       "MAP545 Ileum_20cm_from_IC_Valve   4       0            "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "meta <- read.csv('~/Dropbox/mixed/meta/MetaDATAJohnes2.csv', header = TRUE)\n",
    "rownames(meta) <- meta$SeqID\n",
    "meta <- meta[colnames(vcf), ]\n",
    "head(meta)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       " MN  NY  PA  VT \n",
       "106 179  49 191 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "table(meta$State)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "    0/0     0/1     1/1 \n",
       "1435099    5714    5562 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "GT[GT %in% c('.')] <- '0/0' # missing values\n",
    "GT[GT%in% c('0/2', '0/3')] <- '0/1'\n",
    "table(c(GT))\n",
    "AO <- geno(vcf)$AO # alt read count\n",
    "DP <- geno(vcf)$DP\n",
    "is_dp_na <- is.na(DP)\n",
    "DP[is_dp_na] <- 0\n",
    "AO[is_dp_na] <- 0\n",
    "ao_len <- sapply(AO, length)\n",
    "mult <- which(ao_len > 1)\n",
    "AO[mult] <- sapply(AO[mult], max)\n",
    "AO <- matrix(unlist(AO), nrow = nrow(DP), ncol = ncol(DP))\n",
    "X <- AO / DP # alternative allele ratio\n",
    "X[is.na(X)] <- 0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th></th><th scope=col>MAP129</th><th scope=col>MAP381</th><th scope=col>MAP350</th><th scope=col>MAP022</th><th scope=col>MAP514</th><th scope=col>MAP545</th><th scope=col>MAP401</th><th scope=col>MAP727</th><th scope=col>MAP153</th><th scope=col>MAP351</th><th scope=col>...</th><th scope=col>MAP517</th><th scope=col>MAP137</th><th scope=col>MAP944</th><th scope=col>MAP563</th><th scope=col>MAP143</th><th scope=col>MAP439</th><th scope=col>MAP380</th><th scope=col>MAP191</th><th scope=col>MAP006</th><th scope=col>MAP775</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>Map_K10_VBC_CLI:48_C/A</th><td>0         </td><td>0.0000000 </td><td>0         </td><td>0         </td><td>0         </td><td>0         </td><td>0         </td><td>0.0000000 </td><td>0.00000000</td><td>0         </td><td>...       </td><td>0         </td><td>0         </td><td>0         </td><td>0.00000000</td><td>0         </td><td>0         </td><td>0         </td><td>0         </td><td>0.0000000 </td><td>0         </td></tr>\n",
       "\t<tr><th scope=row>Map_K10_VBC_CLI:288_G/A</th><td>0         </td><td>0.0000000 </td><td>0         </td><td>0         </td><td>0         </td><td>0         </td><td>0         </td><td>0.0000000 </td><td>0.00000000</td><td>0         </td><td>...       </td><td>0         </td><td>0         </td><td>0         </td><td>0.02631579</td><td>0         </td><td>0         </td><td>0         </td><td>0         </td><td>0.0000000 </td><td>0         </td></tr>\n",
       "\t<tr><th scope=row>Map_K10_VBC_CLI:356_C/T</th><td>0         </td><td>0.0000000 </td><td>0         </td><td>0         </td><td>0         </td><td>0         </td><td>0         </td><td>0.0000000 </td><td>0.00000000</td><td>0         </td><td>...       </td><td>0         </td><td>1         </td><td>0         </td><td>0.00000000</td><td>0         </td><td>0         </td><td>0         </td><td>0         </td><td>0.0000000 </td><td>0         </td></tr>\n",
       "\t<tr><th scope=row>Map_K10_VBC_CLI:752_T/C</th><td>1         </td><td>0.9897959 </td><td>1         </td><td>1         </td><td>1         </td><td>1         </td><td>1         </td><td>0.9939759 </td><td>1.00000000</td><td>1         </td><td>...       </td><td>1         </td><td>1         </td><td>1         </td><td>1.00000000</td><td>1         </td><td>1         </td><td>1         </td><td>1         </td><td>0.9834711 </td><td>1         </td></tr>\n",
       "\t<tr><th scope=row>Map_K10_VBC_CLI:787_A/G</th><td>0         </td><td>0.0000000 </td><td>0         </td><td>0         </td><td>0         </td><td>0         </td><td>0         </td><td>0.0000000 </td><td>0.02409639</td><td>0         </td><td>...       </td><td>0         </td><td>0         </td><td>0         </td><td>0.00000000</td><td>0         </td><td>0         </td><td>0         </td><td>0         </td><td>0.0000000 </td><td>0         </td></tr>\n",
       "\t<tr><th scope=row>Map_K10_VBC_CLI:798_C/A</th><td>0         </td><td>0.0000000 </td><td>0         </td><td>0         </td><td>0         </td><td>0         </td><td>0         </td><td>0.0000000 </td><td>0.00000000</td><td>0         </td><td>...       </td><td>0         </td><td>0         </td><td>0         </td><td>0.00000000</td><td>0         </td><td>0         </td><td>0         </td><td>0         </td><td>0.0000000 </td><td>0         </td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|lllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll}\n",
       "  & MAP129 & MAP381 & MAP350 & MAP022 & MAP514 & MAP545 & MAP401 & MAP727 & MAP153 & MAP351 & ... & MAP517 & MAP137 & MAP944 & MAP563 & MAP143 & MAP439 & MAP380 & MAP191 & MAP006 & MAP775\\\\\n",
       "\\hline\n",
       "\tMap\\_K10\\_VBC\\_CLI:48\\_C/A & 0          & 0.0000000  & 0          & 0          & 0          & 0          & 0          & 0.0000000  & 0.00000000 & 0          & ...        & 0          & 0          & 0          & 0.00000000 & 0          & 0          & 0          & 0          & 0.0000000  & 0         \\\\\n",
       "\tMap\\_K10\\_VBC\\_CLI:288\\_G/A & 0          & 0.0000000  & 0          & 0          & 0          & 0          & 0          & 0.0000000  & 0.00000000 & 0          & ...        & 0          & 0          & 0          & 0.02631579 & 0          & 0          & 0          & 0          & 0.0000000  & 0         \\\\\n",
       "\tMap\\_K10\\_VBC\\_CLI:356\\_C/T & 0          & 0.0000000  & 0          & 0          & 0          & 0          & 0          & 0.0000000  & 0.00000000 & 0          & ...        & 0          & 1          & 0          & 0.00000000 & 0          & 0          & 0          & 0          & 0.0000000  & 0         \\\\\n",
       "\tMap\\_K10\\_VBC\\_CLI:752\\_T/C & 1          & 0.9897959  & 1          & 1          & 1          & 1          & 1          & 0.9939759  & 1.00000000 & 1          & ...        & 1          & 1          & 1          & 1.00000000 & 1          & 1          & 1          & 1          & 0.9834711  & 1         \\\\\n",
       "\tMap\\_K10\\_VBC\\_CLI:787\\_A/G & 0          & 0.0000000  & 0          & 0          & 0          & 0          & 0          & 0.0000000  & 0.02409639 & 0          & ...        & 0          & 0          & 0          & 0.00000000 & 0          & 0          & 0          & 0          & 0.0000000  & 0         \\\\\n",
       "\tMap\\_K10\\_VBC\\_CLI:798\\_C/A & 0          & 0.0000000  & 0          & 0          & 0          & 0          & 0          & 0.0000000  & 0.00000000 & 0          & ...        & 0          & 0          & 0          & 0.00000000 & 0          & 0          & 0          & 0          & 0.0000000  & 0         \\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "| <!--/--> | MAP129 | MAP381 | MAP350 | MAP022 | MAP514 | MAP545 | MAP401 | MAP727 | MAP153 | MAP351 | ... | MAP517 | MAP137 | MAP944 | MAP563 | MAP143 | MAP439 | MAP380 | MAP191 | MAP006 | MAP775 |\n",
       "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n",
       "| Map_K10_VBC_CLI:48_C/A | 0          | 0.0000000  | 0          | 0          | 0          | 0          | 0          | 0.0000000  | 0.00000000 | 0          | ...        | 0          | 0          | 0          | 0.00000000 | 0          | 0          | 0          | 0          | 0.0000000  | 0          |\n",
       "| Map_K10_VBC_CLI:288_G/A | 0          | 0.0000000  | 0          | 0          | 0          | 0          | 0          | 0.0000000  | 0.00000000 | 0          | ...        | 0          | 0          | 0          | 0.02631579 | 0          | 0          | 0          | 0          | 0.0000000  | 0          |\n",
       "| Map_K10_VBC_CLI:356_C/T | 0          | 0.0000000  | 0          | 0          | 0          | 0          | 0          | 0.0000000  | 0.00000000 | 0          | ...        | 0          | 1          | 0          | 0.00000000 | 0          | 0          | 0          | 0          | 0.0000000  | 0          |\n",
       "| Map_K10_VBC_CLI:752_T/C | 1          | 0.9897959  | 1          | 1          | 1          | 1          | 1          | 0.9939759  | 1.00000000 | 1          | ...        | 1          | 1          | 1          | 1.00000000 | 1          | 1          | 1          | 1          | 0.9834711  | 1          |\n",
       "| Map_K10_VBC_CLI:787_A/G | 0          | 0.0000000  | 0          | 0          | 0          | 0          | 0          | 0.0000000  | 0.02409639 | 0          | ...        | 0          | 0          | 0          | 0.00000000 | 0          | 0          | 0          | 0          | 0.0000000  | 0          |\n",
       "| Map_K10_VBC_CLI:798_C/A | 0          | 0.0000000  | 0          | 0          | 0          | 0          | 0          | 0.0000000  | 0.00000000 | 0          | ...        | 0          | 0          | 0          | 0.00000000 | 0          | 0          | 0          | 0          | 0.0000000  | 0          |\n",
       "\n"
      ],
      "text/plain": [
       "                        MAP129 MAP381    MAP350 MAP022 MAP514 MAP545 MAP401\n",
       "Map_K10_VBC_CLI:48_C/A  0      0.0000000 0      0      0      0      0     \n",
       "Map_K10_VBC_CLI:288_G/A 0      0.0000000 0      0      0      0      0     \n",
       "Map_K10_VBC_CLI:356_C/T 0      0.0000000 0      0      0      0      0     \n",
       "Map_K10_VBC_CLI:752_T/C 1      0.9897959 1      1      1      1      1     \n",
       "Map_K10_VBC_CLI:787_A/G 0      0.0000000 0      0      0      0      0     \n",
       "Map_K10_VBC_CLI:798_C/A 0      0.0000000 0      0      0      0      0     \n",
       "                        MAP727    MAP153     MAP351 ... MAP517 MAP137 MAP944\n",
       "Map_K10_VBC_CLI:48_C/A  0.0000000 0.00000000 0      ... 0      0      0     \n",
       "Map_K10_VBC_CLI:288_G/A 0.0000000 0.00000000 0      ... 0      0      0     \n",
       "Map_K10_VBC_CLI:356_C/T 0.0000000 0.00000000 0      ... 0      1      0     \n",
       "Map_K10_VBC_CLI:752_T/C 0.9939759 1.00000000 1      ... 1      1      1     \n",
       "Map_K10_VBC_CLI:787_A/G 0.0000000 0.02409639 0      ... 0      0      0     \n",
       "Map_K10_VBC_CLI:798_C/A 0.0000000 0.00000000 0      ... 0      0      0     \n",
       "                        MAP563     MAP143 MAP439 MAP380 MAP191 MAP006    MAP775\n",
       "Map_K10_VBC_CLI:48_C/A  0.00000000 0      0      0      0      0.0000000 0     \n",
       "Map_K10_VBC_CLI:288_G/A 0.02631579 0      0      0      0      0.0000000 0     \n",
       "Map_K10_VBC_CLI:356_C/T 0.00000000 0      0      0      0      0.0000000 0     \n",
       "Map_K10_VBC_CLI:752_T/C 1.00000000 1      1      1      1      0.9834711 1     \n",
       "Map_K10_VBC_CLI:787_A/G 0.00000000 0      0      0      0      0.0000000 0     \n",
       "Map_K10_VBC_CLI:798_C/A 0.00000000 0      0      0      0      0.0000000 0     "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<ol class=list-inline>\n",
       "\t<li>2755</li>\n",
       "\t<li>525</li>\n",
       "</ol>\n"
      ],
      "text/latex": [
       "\\begin{enumerate*}\n",
       "\\item 2755\n",
       "\\item 525\n",
       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "1. 2755\n",
       "2. 525\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "[1] 2755  525"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "head(X)\n",
    "dim(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th></th><th scope=col>MAP350</th><th scope=col>MAP351</th><th scope=col>MAP337</th><th scope=col>MAP284</th><th scope=col>MAP344</th><th scope=col>MAP343</th><th scope=col>MAP320</th><th scope=col>MAP291</th><th scope=col>MAP355</th><th scope=col>MAP358</th><th scope=col>...</th><th scope=col>MAP356</th><th scope=col>MAP321</th><th scope=col>MAP353</th><th scope=col>MAP339</th><th scope=col>MAP287</th><th scope=col>MAP357</th><th scope=col>MAP313</th><th scope=col>MAP341</th><th scope=col>MAP347</th><th scope=col>MAP342</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>Map_K10_VBC_CLI:48_C/A</th><td>0          </td><td>0          </td><td>0          </td><td>0          </td><td>0.000000000</td><td>0          </td><td>0          </td><td>0          </td><td>0          </td><td>0.00000000 </td><td>...        </td><td>0.005235602</td><td>0          </td><td>0.02348993 </td><td>0          </td><td>0          </td><td>0          </td><td>0          </td><td>0          </td><td>0.000000000</td><td>0          </td></tr>\n",
       "\t<tr><th scope=row>Map_K10_VBC_CLI:288_G/A</th><td>0          </td><td>0          </td><td>0          </td><td>0          </td><td>0.000000000</td><td>0          </td><td>0          </td><td>0          </td><td>0          </td><td>0.00000000 </td><td>...        </td><td>0.000000000</td><td>0          </td><td>0.00000000 </td><td>0          </td><td>0          </td><td>0          </td><td>0          </td><td>0          </td><td>0.000000000</td><td>0          </td></tr>\n",
       "\t<tr><th scope=row>Map_K10_VBC_CLI:356_C/T</th><td>0          </td><td>0          </td><td>0          </td><td>0          </td><td>0.000000000</td><td>0          </td><td>0          </td><td>0          </td><td>0          </td><td>0.00000000 </td><td>...        </td><td>0.000000000</td><td>0          </td><td>0.00000000 </td><td>0          </td><td>0          </td><td>0          </td><td>0          </td><td>0          </td><td>0.000000000</td><td>0          </td></tr>\n",
       "\t<tr><th scope=row>Map_K10_VBC_CLI:752_T/C</th><td>1          </td><td>1          </td><td>1          </td><td>1          </td><td>1.000000000</td><td>1          </td><td>1          </td><td>1          </td><td>1          </td><td>1.00000000 </td><td>...        </td><td>0.993670886</td><td>1          </td><td>1.00000000 </td><td>1          </td><td>1          </td><td>1          </td><td>1          </td><td>1          </td><td>1.000000000</td><td>1          </td></tr>\n",
       "\t<tr><th scope=row>Map_K10_VBC_CLI:787_A/G</th><td>0          </td><td>0          </td><td>0          </td><td>0          </td><td>0.009090909</td><td>0          </td><td>0          </td><td>0          </td><td>0          </td><td>0.00000000 </td><td>...        </td><td>0.000000000</td><td>0          </td><td>0.00000000 </td><td>0          </td><td>0          </td><td>0          </td><td>0          </td><td>0          </td><td>0.008695652</td><td>0          </td></tr>\n",
       "\t<tr><th scope=row>Map_K10_VBC_CLI:798_C/A</th><td>0          </td><td>0          </td><td>0          </td><td>0          </td><td>0.000000000</td><td>0          </td><td>0          </td><td>0          </td><td>0          </td><td>0.01333333 </td><td>...        </td><td>0.000000000</td><td>0          </td><td>0.00000000 </td><td>0          </td><td>0          </td><td>0          </td><td>0          </td><td>0          </td><td>0.000000000</td><td>0          </td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|lllllllllllllllllllllllllllllllllllllllllllllllll}\n",
       "  & MAP350 & MAP351 & MAP337 & MAP284 & MAP344 & MAP343 & MAP320 & MAP291 & MAP355 & MAP358 & ... & MAP356 & MAP321 & MAP353 & MAP339 & MAP287 & MAP357 & MAP313 & MAP341 & MAP347 & MAP342\\\\\n",
       "\\hline\n",
       "\tMap\\_K10\\_VBC\\_CLI:48\\_C/A & 0           & 0           & 0           & 0           & 0.000000000 & 0           & 0           & 0           & 0           & 0.00000000  & ...         & 0.005235602 & 0           & 0.02348993  & 0           & 0           & 0           & 0           & 0           & 0.000000000 & 0          \\\\\n",
       "\tMap\\_K10\\_VBC\\_CLI:288\\_G/A & 0           & 0           & 0           & 0           & 0.000000000 & 0           & 0           & 0           & 0           & 0.00000000  & ...         & 0.000000000 & 0           & 0.00000000  & 0           & 0           & 0           & 0           & 0           & 0.000000000 & 0          \\\\\n",
       "\tMap\\_K10\\_VBC\\_CLI:356\\_C/T & 0           & 0           & 0           & 0           & 0.000000000 & 0           & 0           & 0           & 0           & 0.00000000  & ...         & 0.000000000 & 0           & 0.00000000  & 0           & 0           & 0           & 0           & 0           & 0.000000000 & 0          \\\\\n",
       "\tMap\\_K10\\_VBC\\_CLI:752\\_T/C & 1           & 1           & 1           & 1           & 1.000000000 & 1           & 1           & 1           & 1           & 1.00000000  & ...         & 0.993670886 & 1           & 1.00000000  & 1           & 1           & 1           & 1           & 1           & 1.000000000 & 1          \\\\\n",
       "\tMap\\_K10\\_VBC\\_CLI:787\\_A/G & 0           & 0           & 0           & 0           & 0.009090909 & 0           & 0           & 0           & 0           & 0.00000000  & ...         & 0.000000000 & 0           & 0.00000000  & 0           & 0           & 0           & 0           & 0           & 0.008695652 & 0          \\\\\n",
       "\tMap\\_K10\\_VBC\\_CLI:798\\_C/A & 0           & 0           & 0           & 0           & 0.000000000 & 0           & 0           & 0           & 0           & 0.01333333  & ...         & 0.000000000 & 0           & 0.00000000  & 0           & 0           & 0           & 0           & 0           & 0.000000000 & 0          \\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "| <!--/--> | MAP350 | MAP351 | MAP337 | MAP284 | MAP344 | MAP343 | MAP320 | MAP291 | MAP355 | MAP358 | ... | MAP356 | MAP321 | MAP353 | MAP339 | MAP287 | MAP357 | MAP313 | MAP341 | MAP347 | MAP342 |\n",
       "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n",
       "| Map_K10_VBC_CLI:48_C/A | 0           | 0           | 0           | 0           | 0.000000000 | 0           | 0           | 0           | 0           | 0.00000000  | ...         | 0.005235602 | 0           | 0.02348993  | 0           | 0           | 0           | 0           | 0           | 0.000000000 | 0           |\n",
       "| Map_K10_VBC_CLI:288_G/A | 0           | 0           | 0           | 0           | 0.000000000 | 0           | 0           | 0           | 0           | 0.00000000  | ...         | 0.000000000 | 0           | 0.00000000  | 0           | 0           | 0           | 0           | 0           | 0.000000000 | 0           |\n",
       "| Map_K10_VBC_CLI:356_C/T | 0           | 0           | 0           | 0           | 0.000000000 | 0           | 0           | 0           | 0           | 0.00000000  | ...         | 0.000000000 | 0           | 0.00000000  | 0           | 0           | 0           | 0           | 0           | 0.000000000 | 0           |\n",
       "| Map_K10_VBC_CLI:752_T/C | 1           | 1           | 1           | 1           | 1.000000000 | 1           | 1           | 1           | 1           | 1.00000000  | ...         | 0.993670886 | 1           | 1.00000000  | 1           | 1           | 1           | 1           | 1           | 1.000000000 | 1           |\n",
       "| Map_K10_VBC_CLI:787_A/G | 0           | 0           | 0           | 0           | 0.009090909 | 0           | 0           | 0           | 0           | 0.00000000  | ...         | 0.000000000 | 0           | 0.00000000  | 0           | 0           | 0           | 0           | 0           | 0.008695652 | 0           |\n",
       "| Map_K10_VBC_CLI:798_C/A | 0           | 0           | 0           | 0           | 0.000000000 | 0           | 0           | 0           | 0           | 0.01333333  | ...         | 0.000000000 | 0           | 0.00000000  | 0           | 0           | 0           | 0           | 0           | 0.000000000 | 0           |\n",
       "\n"
      ],
      "text/plain": [
       "                        MAP350 MAP351 MAP337 MAP284 MAP344      MAP343 MAP320\n",
       "Map_K10_VBC_CLI:48_C/A  0      0      0      0      0.000000000 0      0     \n",
       "Map_K10_VBC_CLI:288_G/A 0      0      0      0      0.000000000 0      0     \n",
       "Map_K10_VBC_CLI:356_C/T 0      0      0      0      0.000000000 0      0     \n",
       "Map_K10_VBC_CLI:752_T/C 1      1      1      1      1.000000000 1      1     \n",
       "Map_K10_VBC_CLI:787_A/G 0      0      0      0      0.009090909 0      0     \n",
       "Map_K10_VBC_CLI:798_C/A 0      0      0      0      0.000000000 0      0     \n",
       "                        MAP291 MAP355 MAP358     ... MAP356      MAP321\n",
       "Map_K10_VBC_CLI:48_C/A  0      0      0.00000000 ... 0.005235602 0     \n",
       "Map_K10_VBC_CLI:288_G/A 0      0      0.00000000 ... 0.000000000 0     \n",
       "Map_K10_VBC_CLI:356_C/T 0      0      0.00000000 ... 0.000000000 0     \n",
       "Map_K10_VBC_CLI:752_T/C 1      1      1.00000000 ... 0.993670886 1     \n",
       "Map_K10_VBC_CLI:787_A/G 0      0      0.00000000 ... 0.000000000 0     \n",
       "Map_K10_VBC_CLI:798_C/A 0      0      0.01333333 ... 0.000000000 0     \n",
       "                        MAP353     MAP339 MAP287 MAP357 MAP313 MAP341\n",
       "Map_K10_VBC_CLI:48_C/A  0.02348993 0      0      0      0      0     \n",
       "Map_K10_VBC_CLI:288_G/A 0.00000000 0      0      0      0      0     \n",
       "Map_K10_VBC_CLI:356_C/T 0.00000000 0      0      0      0      0     \n",
       "Map_K10_VBC_CLI:752_T/C 1.00000000 1      1      1      1      1     \n",
       "Map_K10_VBC_CLI:787_A/G 0.00000000 0      0      0      0      0     \n",
       "Map_K10_VBC_CLI:798_C/A 0.00000000 0      0      0      0      0     \n",
       "                        MAP347      MAP342\n",
       "Map_K10_VBC_CLI:48_C/A  0.000000000 0     \n",
       "Map_K10_VBC_CLI:288_G/A 0.000000000 0     \n",
       "Map_K10_VBC_CLI:356_C/T 0.000000000 0     \n",
       "Map_K10_VBC_CLI:752_T/C 1.000000000 1     \n",
       "Map_K10_VBC_CLI:787_A/G 0.008695652 0     \n",
       "Map_K10_VBC_CLI:798_C/A 0.000000000 0     "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X_selected <- X[,meta$State == 'PA']\n",
    "meta_selected <- meta[which(meta$State == 'PA'),]\n",
    "head(X_selected)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<ol class=list-inline>\n",
       "\t<li>2755</li>\n",
       "\t<li>49</li>\n",
       "</ol>\n"
      ],
      "text/latex": [
       "\\begin{enumerate*}\n",
       "\\item 2755\n",
       "\\item 49\n",
       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "1. 2755\n",
       "2. 49\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "[1] 2755   49"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dim(X_selected)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th></th><th scope=col>SeqID</th><th scope=col>SampleID</th><th scope=col>CowID</th><th scope=col>State</th><th scope=col>Farm</th><th scope=col>Type</th><th scope=col>Mix</th><th scope=col>Date</th><th scope=col>uniID</th><th scope=col>Type2</th><th scope=col>Type2_num</th><th scope=col>Contamination</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>MAP350</th><td>MAP350                  </td><td>350                     </td><td> 228                    </td><td>PA                      </td><td>10                      </td><td>tissue                  </td><td>0                       </td><td>2008                    </td><td>PA_228                  </td><td>LymphNode2              </td><td>  6                     </td><td>0                       </td></tr>\n",
       "\t<tr><th scope=row>MAP351</th><td>MAP351                  </td><td>351                     </td><td> 228                    </td><td>PA                      </td><td>10                      </td><td>tissue                  </td><td>0                       </td><td>2008                    </td><td>PA_228                  </td><td>Ileum_20cm_from_IC_Valve</td><td>  4                     </td><td>0                       </td></tr>\n",
       "\t<tr><th scope=row>MAP337</th><td>MAP337                  </td><td>337                     </td><td>  49                    </td><td>PA                      </td><td>10                      </td><td>tissue                  </td><td>0                       </td><td>2006                    </td><td>PA_49                   </td><td>Ileum_20cm_from_IC_Valve</td><td>  4                     </td><td>1                       </td></tr>\n",
       "\t<tr><th scope=row>MAP284</th><td>MAP284                  </td><td>284                     </td><td>  51                    </td><td>PA                      </td><td>10                      </td><td>fecal                   </td><td>0                       </td><td>2004                    </td><td>PA_51                   </td><td>fecal                   </td><td>  1                     </td><td>0                       </td></tr>\n",
       "\t<tr><th scope=row>MAP344</th><td>MAP344                  </td><td>344                     </td><td>9999                    </td><td>PA                      </td><td>10                      </td><td>environmental           </td><td>0                       </td><td>2006                    </td><td>PA_9999                 </td><td>environmental           </td><td>100                     </td><td>0                       </td></tr>\n",
       "\t<tr><th scope=row>MAP343</th><td>MAP343                  </td><td>343                     </td><td> 131                    </td><td>PA                      </td><td>10                      </td><td>fecal                   </td><td>0                       </td><td>2006                    </td><td>PA_131                  </td><td>fecal                   </td><td>  1                     </td><td>0                       </td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|llllllllllll}\n",
       "  & SeqID & SampleID & CowID & State & Farm & Type & Mix & Date & uniID & Type2 & Type2\\_num & Contamination\\\\\n",
       "\\hline\n",
       "\tMAP350 & MAP350                   & 350                      &  228                     & PA                       & 10                       & tissue                   & 0                        & 2008                     & PA\\_228                 & LymphNode2               &   6                      & 0                       \\\\\n",
       "\tMAP351 & MAP351                           & 351                              &  228                             & PA                               & 10                               & tissue                           & 0                                & 2008                             & PA\\_228                         & Ileum\\_20cm\\_from\\_IC\\_Valve &   4                              & 0                               \\\\\n",
       "\tMAP337 & MAP337                           & 337                              &   49                             & PA                               & 10                               & tissue                           & 0                                & 2006                             & PA\\_49                          & Ileum\\_20cm\\_from\\_IC\\_Valve &   4                              & 1                               \\\\\n",
       "\tMAP284 & MAP284                   & 284                      &   51                     & PA                       & 10                       & fecal                    & 0                        & 2004                     & PA\\_51                  & fecal                    &   1                      & 0                       \\\\\n",
       "\tMAP344 & MAP344                   & 344                      & 9999                     & PA                       & 10                       & environmental            & 0                        & 2006                     & PA\\_9999                & environmental            & 100                      & 0                       \\\\\n",
       "\tMAP343 & MAP343                   & 343                      &  131                     & PA                       & 10                       & fecal                    & 0                        & 2006                     & PA\\_131                 & fecal                    &   1                      & 0                       \\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "| <!--/--> | SeqID | SampleID | CowID | State | Farm | Type | Mix | Date | uniID | Type2 | Type2_num | Contamination |\n",
       "|---|---|---|---|---|---|---|---|---|---|---|---|---|\n",
       "| MAP350 | MAP350                   | 350                      |  228                     | PA                       | 10                       | tissue                   | 0                        | 2008                     | PA_228                   | LymphNode2               |   6                      | 0                        |\n",
       "| MAP351 | MAP351                   | 351                      |  228                     | PA                       | 10                       | tissue                   | 0                        | 2008                     | PA_228                   | Ileum_20cm_from_IC_Valve |   4                      | 0                        |\n",
       "| MAP337 | MAP337                   | 337                      |   49                     | PA                       | 10                       | tissue                   | 0                        | 2006                     | PA_49                    | Ileum_20cm_from_IC_Valve |   4                      | 1                        |\n",
       "| MAP284 | MAP284                   | 284                      |   51                     | PA                       | 10                       | fecal                    | 0                        | 2004                     | PA_51                    | fecal                    |   1                      | 0                        |\n",
       "| MAP344 | MAP344                   | 344                      | 9999                     | PA                       | 10                       | environmental            | 0                        | 2006                     | PA_9999                  | environmental            | 100                      | 0                        |\n",
       "| MAP343 | MAP343                   | 343                      |  131                     | PA                       | 10                       | fecal                    | 0                        | 2006                     | PA_131                   | fecal                    |   1                      | 0                        |\n",
       "\n"
      ],
      "text/plain": [
       "       SeqID  SampleID CowID State Farm Type          Mix Date uniID  \n",
       "MAP350 MAP350 350       228  PA    10   tissue        0   2008 PA_228 \n",
       "MAP351 MAP351 351       228  PA    10   tissue        0   2008 PA_228 \n",
       "MAP337 MAP337 337        49  PA    10   tissue        0   2006 PA_49  \n",
       "MAP284 MAP284 284        51  PA    10   fecal         0   2004 PA_51  \n",
       "MAP344 MAP344 344      9999  PA    10   environmental 0   2006 PA_9999\n",
       "MAP343 MAP343 343       131  PA    10   fecal         0   2006 PA_131 \n",
       "       Type2                    Type2_num Contamination\n",
       "MAP350 LymphNode2                 6       0            \n",
       "MAP351 Ileum_20cm_from_IC_Valve   4       0            \n",
       "MAP337 Ileum_20cm_from_IC_Valve   4       1            \n",
       "MAP284 fecal                      1       0            \n",
       "MAP344 environmental            100       0            \n",
       "MAP343 fecal                      1       0            "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "head(meta_selected)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "     AA  AB  BB                      snp_id\n",
      "1   523   0   2    Map_K10_VBC_CLI:6008_C/T\n",
      "2   523   0   2    Map_K10_VBC_CLI:9890_C/T\n",
      "3   523   0   2   Map_K10_VBC_CLI:10583_G/A\n",
      "4   518   0   7   Map_K10_VBC_CLI:16181_A/G\n",
      "5   522   0   3   Map_K10_VBC_CLI:23889_T/C\n",
      "6   523   0   2   Map_K10_VBC_CLI:28335_G/A\n",
      "7   519   0   6   Map_K10_VBC_CLI:44054_G/T\n",
      "8   515   0  10   Map_K10_VBC_CLI:46975_T/C\n",
      "9   523   0   2   Map_K10_VBC_CLI:49215_A/G\n",
      "10  517   0   8   Map_K10_VBC_CLI:53592_C/T\n",
      "11  519   0   6   Map_K10_VBC_CLI:60682_C/T\n",
      "12  521   0   4   Map_K10_VBC_CLI:71014_A/G\n",
      "13  523   0   2   Map_K10_VBC_CLI:71631_G/A\n",
      "14   17   0 508   Map_K10_VBC_CLI:73211_T/C\n",
      "15  523   0   2   Map_K10_VBC_CLI:77046_G/T\n",
      "16  515   0  10   Map_K10_VBC_CLI:78045_C/T\n",
      "17  521   0   4   Map_K10_VBC_CLI:91027_C/T\n",
      "18  521   0   4   Map_K10_VBC_CLI:99927_A/G\n",
      "19  515   0  10  Map_K10_VBC_CLI:103242_A/G\n",
      "20  522   0   3  Map_K10_VBC_CLI:118442_T/A\n",
      "21  523   0   2  Map_K10_VBC_CLI:120560_C/T\n",
      "22  523   0   2  Map_K10_VBC_CLI:122449_C/T\n",
      "23  515   0  10  Map_K10_VBC_CLI:124071_T/C\n",
      "24  522   0   3  Map_K10_VBC_CLI:126882_A/C\n",
      "25  347   0 178  Map_K10_VBC_CLI:145647_C/T\n",
      "26  521   0   4  Map_K10_VBC_CLI:155252_C/T\n",
      "27  523   0   2  Map_K10_VBC_CLI:157436_G/T\n",
      "28  523   0   2  Map_K10_VBC_CLI:164089_C/T\n",
      "29  523   0   2  Map_K10_VBC_CLI:175227_A/G\n",
      "30  521   0   4  Map_K10_VBC_CLI:188304_C/T\n",
      "31  523   0   2 Map_K10_VBC_CLI:2009251_G/A\n",
      "32  521   0   4 Map_K10_VBC_CLI:2012374_C/T\n",
      "33  521   0   4 Map_K10_VBC_CLI:2020086_C/T\n",
      "34  515   0  10 Map_K10_VBC_CLI:2022763_A/T\n",
      "35  523   0   2 Map_K10_VBC_CLI:2040397_G/C\n",
      "36  523   0   2 Map_K10_VBC_CLI:2046193_C/T\n",
      "37  515   0  10 Map_K10_VBC_CLI:2094841_C/T\n",
      "38  521   0   4 Map_K10_VBC_CLI:2110866_C/T\n",
      "39  519   0   6 Map_K10_VBC_CLI:2150323_A/G\n",
      "40  515   0  10 Map_K10_VBC_CLI:2150741_T/C\n",
      "41  515   0  10 Map_K10_VBC_CLI:2154056_C/T\n",
      "42  514   0  11 Map_K10_VBC_CLI:2155760_C/A\n",
      "43  515   0  10 Map_K10_VBC_CLI:2159485_C/T\n",
      "44  522   0   3 Map_K10_VBC_CLI:2160363_C/T\n",
      "45  521   0   4 Map_K10_VBC_CLI:2178426_G/T\n",
      "46  521   0   4 Map_K10_VBC_CLI:2191540_C/T\n",
      "47  521   0   4 Map_K10_VBC_CLI:2193870_C/T\n",
      "48  523   0   2 Map_K10_VBC_CLI:4015985_G/A\n",
      "49  518   0   7 Map_K10_VBC_CLI:4024907_T/C\n",
      "50  521   0   4 Map_K10_VBC_CLI:4028111_T/C\n",
      "51  523   0   2 Map_K10_VBC_CLI:4028613_G/A\n",
      "52  518   0   7 Map_K10_VBC_CLI:4037142_G/A\n",
      "53  523   0   2 Map_K10_VBC_CLI:4038386_G/A\n",
      "54  522   0   3 Map_K10_VBC_CLI:4040283_G/A\n",
      "55  519   0   6 Map_K10_VBC_CLI:4042189_T/C\n",
      "56  523   0   2 Map_K10_VBC_CLI:4044695_G/A\n",
      "57  521   0   4 Map_K10_VBC_CLI:4054163_G/C\n",
      "58  522   0   3 Map_K10_VBC_CLI:4070036_C/A\n",
      "59  523   0   2 Map_K10_VBC_CLI:4072026_C/T\n",
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      "471 483  42   0  Map_K10_VBC_CLI:169544_C/T\n",
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      "473 461  64   0  Map_K10_VBC_CLI:110567_T/A\n",
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      "476 456  69   0 Map_K10_VBC_CLI:4043655_G/C\n",
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      "479 448  77   0 Map_K10_VBC_CLI:2189995_G/C\n",
      "480 439  86   0   Map_K10_VBC_CLI:77697_T/A\n",
      "481 417 108   0  Map_K10_VBC_CLI:159925_T/A\n",
      "482 409 116   0 Map_K10_VBC_CLI:2022293_A/T\n",
      "483 365 160   0 Map_K10_VBC_CLI:2115729_A/C\n",
      "484 357 168   0 Map_K10_VBC_CLI:4066512_C/T\n",
      "485 219 306   0  Map_K10_VBC_CLI:189693_C/G\n"
     ]
    }
   ],
   "source": [
    "GT_freq <- do.call('rbind', lapply(\n",
    "    1:nrow(GT), \n",
    "    function(i) GT[i, ] %>% factor(c('0/0', '0/1', '1/1'), labels = c('AA', 'AB', 'BB')) %>% table()\n",
    ")) %>% \n",
    "    as.data.frame() %>%\n",
    "    mutate(snp_id = rownames(GT)) %>%\n",
    "    filter(!(AB == 1 & BB == 0)) %>%\n",
    "    filter(!(AB == 0 & BB == 1)) %>%\n",
    "    filter(!(AA == 0 & AB == 0)) %>% \n",
    "    arrange(AB) %>% \n",
    "    print()\n",
    "# GT_freq has filtered out singletons"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th scope=col>AA</th><th scope=col>AB</th><th scope=col>BB</th><th scope=col>snp_id</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><td>523                      </td><td>0                        </td><td>2                        </td><td>Map_K10_VBC_CLI:6008_C/T </td></tr>\n",
       "\t<tr><td>523                      </td><td>0                        </td><td>2                        </td><td>Map_K10_VBC_CLI:9890_C/T </td></tr>\n",
       "\t<tr><td>523                      </td><td>0                        </td><td>2                        </td><td>Map_K10_VBC_CLI:10583_G/A</td></tr>\n",
       "\t<tr><td>518                      </td><td>0                        </td><td>7                        </td><td>Map_K10_VBC_CLI:16181_A/G</td></tr>\n",
       "\t<tr><td>522                      </td><td>0                        </td><td>3                        </td><td>Map_K10_VBC_CLI:23889_T/C</td></tr>\n",
       "\t<tr><td>523                      </td><td>0                        </td><td>2                        </td><td>Map_K10_VBC_CLI:28335_G/A</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|llll}\n",
       " AA & AB & BB & snp\\_id\\\\\n",
       "\\hline\n",
       "\t 523                               & 0                                 & 2                                 & Map\\_K10\\_VBC\\_CLI:6008\\_C/T \\\\\n",
       "\t 523                               & 0                                 & 2                                 & Map\\_K10\\_VBC\\_CLI:9890\\_C/T \\\\\n",
       "\t 523                               & 0                                 & 2                                 & Map\\_K10\\_VBC\\_CLI:10583\\_G/A\\\\\n",
       "\t 518                               & 0                                 & 7                                 & Map\\_K10\\_VBC\\_CLI:16181\\_A/G\\\\\n",
       "\t 522                               & 0                                 & 3                                 & Map\\_K10\\_VBC\\_CLI:23889\\_T/C\\\\\n",
       "\t 523                               & 0                                 & 2                                 & Map\\_K10\\_VBC\\_CLI:28335\\_G/A\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "| AA | AB | BB | snp_id |\n",
       "|---|---|---|---|\n",
       "| 523                       | 0                         | 2                         | Map_K10_VBC_CLI:6008_C/T  |\n",
       "| 523                       | 0                         | 2                         | Map_K10_VBC_CLI:9890_C/T  |\n",
       "| 523                       | 0                         | 2                         | Map_K10_VBC_CLI:10583_G/A |\n",
       "| 518                       | 0                         | 7                         | Map_K10_VBC_CLI:16181_A/G |\n",
       "| 522                       | 0                         | 3                         | Map_K10_VBC_CLI:23889_T/C |\n",
       "| 523                       | 0                         | 2                         | Map_K10_VBC_CLI:28335_G/A |\n",
       "\n"
      ],
      "text/plain": [
       "  AA  AB BB snp_id                   \n",
       "1 523 0  2  Map_K10_VBC_CLI:6008_C/T \n",
       "2 523 0  2  Map_K10_VBC_CLI:9890_C/T \n",
       "3 523 0  2  Map_K10_VBC_CLI:10583_G/A\n",
       "4 518 0  7  Map_K10_VBC_CLI:16181_A/G\n",
       "5 522 0  3  Map_K10_VBC_CLI:23889_T/C\n",
       "6 523 0  2  Map_K10_VBC_CLI:28335_G/A"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "head(GT_freq)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "<thead><tr><th></th><th scope=col>MAP350</th><th scope=col>MAP351</th><th scope=col>MAP337</th><th scope=col>MAP284</th><th scope=col>MAP344</th><th scope=col>MAP343</th><th scope=col>MAP320</th><th scope=col>MAP291</th><th scope=col>MAP355</th><th scope=col>MAP358</th><th scope=col>...</th><th scope=col>MAP356</th><th scope=col>MAP321</th><th scope=col>MAP353</th><th scope=col>MAP339</th><th scope=col>MAP287</th><th scope=col>MAP357</th><th scope=col>MAP313</th><th scope=col>MAP341</th><th scope=col>MAP347</th><th scope=col>MAP342</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>Map_K10_VBC_CLI:6008_C/T</th><td>0.000000000</td><td>0          </td><td>0.000000000</td><td>0.005154639</td><td>0          </td><td>0.00000000 </td><td>0          </td><td>0.006756757</td><td>0          </td><td>0          </td><td>...        </td><td>0.004694836</td><td>0          </td><td>0.003690037</td><td>0          </td><td>0          </td><td>0          </td><td>0          </td><td>0          </td><td>0.00000000 </td><td>0          </td></tr>\n",
       "\t<tr><th scope=row>Map_K10_VBC_CLI:9890_C/T</th><td>0.000000000</td><td>0          </td><td>0.000000000</td><td>0.000000000</td><td>0          </td><td>0.00000000 </td><td>0          </td><td>0.007751938</td><td>0          </td><td>0          </td><td>...        </td><td>0.000000000</td><td>0          </td><td>0.000000000</td><td>0          </td><td>0          </td><td>0          </td><td>0          </td><td>0          </td><td>0.00000000 </td><td>0          </td></tr>\n",
       "\t<tr><th scope=row>Map_K10_VBC_CLI:10583_G/A</th><td>0.000000000</td><td>0          </td><td>0.005181347</td><td>0.000000000</td><td>0          </td><td>0.00000000 </td><td>0          </td><td>0.000000000</td><td>0          </td><td>0          </td><td>...        </td><td>0.000000000</td><td>0          </td><td>0.000000000</td><td>0          </td><td>0          </td><td>0          </td><td>1          </td><td>0          </td><td>0.00000000 </td><td>0          </td></tr>\n",
       "\t<tr><th scope=row>Map_K10_VBC_CLI:16181_A/G</th><td>0.009174312</td><td>0          </td><td>0.000000000</td><td>0.003759398</td><td>0          </td><td>0.00462963 </td><td>0          </td><td>0.000000000</td><td>0          </td><td>0          </td><td>...        </td><td>0.000000000</td><td>0          </td><td>0.000000000</td><td>0          </td><td>0          </td><td>0          </td><td>0          </td><td>0          </td><td>0.00000000 </td><td>0          </td></tr>\n",
       "\t<tr><th scope=row>Map_K10_VBC_CLI:23889_T/C</th><td>0.000000000</td><td>0          </td><td>0.000000000</td><td>0.007142857</td><td>0          </td><td>0.00000000 </td><td>0          </td><td>0.000000000</td><td>0          </td><td>0          </td><td>...        </td><td>0.000000000</td><td>0          </td><td>0.000000000</td><td>0          </td><td>0          </td><td>0          </td><td>0          </td><td>0          </td><td>0.00000000 </td><td>0          </td></tr>\n",
       "\t<tr><th scope=row>Map_K10_VBC_CLI:28335_G/A</th><td>0.000000000</td><td>0          </td><td>0.000000000</td><td>0.000000000</td><td>0          </td><td>0.00000000 </td><td>0          </td><td>0.000000000</td><td>0          </td><td>0          </td><td>...        </td><td>0.000000000</td><td>0          </td><td>0.000000000</td><td>0          </td><td>0          </td><td>0          </td><td>0          </td><td>0          </td><td>0.01754386 </td><td>0          </td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|lllllllllllllllllllllllllllllllllllllllllllllllll}\n",
       "  & MAP350 & MAP351 & MAP337 & MAP284 & MAP344 & MAP343 & MAP320 & MAP291 & MAP355 & MAP358 & ... & MAP356 & MAP321 & MAP353 & MAP339 & MAP287 & MAP357 & MAP313 & MAP341 & MAP347 & MAP342\\\\\n",
       "\\hline\n",
       "\tMap\\_K10\\_VBC\\_CLI:6008\\_C/T & 0.000000000 & 0           & 0.000000000 & 0.005154639 & 0           & 0.00000000  & 0           & 0.006756757 & 0           & 0           & ...         & 0.004694836 & 0           & 0.003690037 & 0           & 0           & 0           & 0           & 0           & 0.00000000  & 0          \\\\\n",
       "\tMap\\_K10\\_VBC\\_CLI:9890\\_C/T & 0.000000000 & 0           & 0.000000000 & 0.000000000 & 0           & 0.00000000  & 0           & 0.007751938 & 0           & 0           & ...         & 0.000000000 & 0           & 0.000000000 & 0           & 0           & 0           & 0           & 0           & 0.00000000  & 0          \\\\\n",
       "\tMap\\_K10\\_VBC\\_CLI:10583\\_G/A & 0.000000000 & 0           & 0.005181347 & 0.000000000 & 0           & 0.00000000  & 0           & 0.000000000 & 0           & 0           & ...         & 0.000000000 & 0           & 0.000000000 & 0           & 0           & 0           & 1           & 0           & 0.00000000  & 0          \\\\\n",
       "\tMap\\_K10\\_VBC\\_CLI:16181\\_A/G & 0.009174312 & 0           & 0.000000000 & 0.003759398 & 0           & 0.00462963  & 0           & 0.000000000 & 0           & 0           & ...         & 0.000000000 & 0           & 0.000000000 & 0           & 0           & 0           & 0           & 0           & 0.00000000  & 0          \\\\\n",
       "\tMap\\_K10\\_VBC\\_CLI:23889\\_T/C & 0.000000000 & 0           & 0.000000000 & 0.007142857 & 0           & 0.00000000  & 0           & 0.000000000 & 0           & 0           & ...         & 0.000000000 & 0           & 0.000000000 & 0           & 0           & 0           & 0           & 0           & 0.00000000  & 0          \\\\\n",
       "\tMap\\_K10\\_VBC\\_CLI:28335\\_G/A & 0.000000000 & 0           & 0.000000000 & 0.000000000 & 0           & 0.00000000  & 0           & 0.000000000 & 0           & 0           & ...         & 0.000000000 & 0           & 0.000000000 & 0           & 0           & 0           & 0           & 0           & 0.01754386  & 0          \\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "| <!--/--> | MAP350 | MAP351 | MAP337 | MAP284 | MAP344 | MAP343 | MAP320 | MAP291 | MAP355 | MAP358 | ... | MAP356 | MAP321 | MAP353 | MAP339 | MAP287 | MAP357 | MAP313 | MAP341 | MAP347 | MAP342 |\n",
       "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n",
       "| Map_K10_VBC_CLI:6008_C/T | 0.000000000 | 0           | 0.000000000 | 0.005154639 | 0           | 0.00000000  | 0           | 0.006756757 | 0           | 0           | ...         | 0.004694836 | 0           | 0.003690037 | 0           | 0           | 0           | 0           | 0           | 0.00000000  | 0           |\n",
       "| Map_K10_VBC_CLI:9890_C/T | 0.000000000 | 0           | 0.000000000 | 0.000000000 | 0           | 0.00000000  | 0           | 0.007751938 | 0           | 0           | ...         | 0.000000000 | 0           | 0.000000000 | 0           | 0           | 0           | 0           | 0           | 0.00000000  | 0           |\n",
       "| Map_K10_VBC_CLI:10583_G/A | 0.000000000 | 0           | 0.005181347 | 0.000000000 | 0           | 0.00000000  | 0           | 0.000000000 | 0           | 0           | ...         | 0.000000000 | 0           | 0.000000000 | 0           | 0           | 0           | 1           | 0           | 0.00000000  | 0           |\n",
       "| Map_K10_VBC_CLI:16181_A/G | 0.009174312 | 0           | 0.000000000 | 0.003759398 | 0           | 0.00462963  | 0           | 0.000000000 | 0           | 0           | ...         | 0.000000000 | 0           | 0.000000000 | 0           | 0           | 0           | 0           | 0           | 0.00000000  | 0           |\n",
       "| Map_K10_VBC_CLI:23889_T/C | 0.000000000 | 0           | 0.000000000 | 0.007142857 | 0           | 0.00000000  | 0           | 0.000000000 | 0           | 0           | ...         | 0.000000000 | 0           | 0.000000000 | 0           | 0           | 0           | 0           | 0           | 0.00000000  | 0           |\n",
       "| Map_K10_VBC_CLI:28335_G/A | 0.000000000 | 0           | 0.000000000 | 0.000000000 | 0           | 0.00000000  | 0           | 0.000000000 | 0           | 0           | ...         | 0.000000000 | 0           | 0.000000000 | 0           | 0           | 0           | 0           | 0           | 0.01754386  | 0           |\n",
       "\n"
      ],
      "text/plain": [
       "                          MAP350      MAP351 MAP337      MAP284      MAP344\n",
       "Map_K10_VBC_CLI:6008_C/T  0.000000000 0      0.000000000 0.005154639 0     \n",
       "Map_K10_VBC_CLI:9890_C/T  0.000000000 0      0.000000000 0.000000000 0     \n",
       "Map_K10_VBC_CLI:10583_G/A 0.000000000 0      0.005181347 0.000000000 0     \n",
       "Map_K10_VBC_CLI:16181_A/G 0.009174312 0      0.000000000 0.003759398 0     \n",
       "Map_K10_VBC_CLI:23889_T/C 0.000000000 0      0.000000000 0.007142857 0     \n",
       "Map_K10_VBC_CLI:28335_G/A 0.000000000 0      0.000000000 0.000000000 0     \n",
       "                          MAP343     MAP320 MAP291      MAP355 MAP358 ...\n",
       "Map_K10_VBC_CLI:6008_C/T  0.00000000 0      0.006756757 0      0      ...\n",
       "Map_K10_VBC_CLI:9890_C/T  0.00000000 0      0.007751938 0      0      ...\n",
       "Map_K10_VBC_CLI:10583_G/A 0.00000000 0      0.000000000 0      0      ...\n",
       "Map_K10_VBC_CLI:16181_A/G 0.00462963 0      0.000000000 0      0      ...\n",
       "Map_K10_VBC_CLI:23889_T/C 0.00000000 0      0.000000000 0      0      ...\n",
       "Map_K10_VBC_CLI:28335_G/A 0.00000000 0      0.000000000 0      0      ...\n",
       "                          MAP356      MAP321 MAP353      MAP339 MAP287 MAP357\n",
       "Map_K10_VBC_CLI:6008_C/T  0.004694836 0      0.003690037 0      0      0     \n",
       "Map_K10_VBC_CLI:9890_C/T  0.000000000 0      0.000000000 0      0      0     \n",
       "Map_K10_VBC_CLI:10583_G/A 0.000000000 0      0.000000000 0      0      0     \n",
       "Map_K10_VBC_CLI:16181_A/G 0.000000000 0      0.000000000 0      0      0     \n",
       "Map_K10_VBC_CLI:23889_T/C 0.000000000 0      0.000000000 0      0      0     \n",
       "Map_K10_VBC_CLI:28335_G/A 0.000000000 0      0.000000000 0      0      0     \n",
       "                          MAP313 MAP341 MAP347     MAP342\n",
       "Map_K10_VBC_CLI:6008_C/T  0      0      0.00000000 0     \n",
       "Map_K10_VBC_CLI:9890_C/T  0      0      0.00000000 0     \n",
       "Map_K10_VBC_CLI:10583_G/A 1      0      0.00000000 0     \n",
       "Map_K10_VBC_CLI:16181_A/G 0      0      0.00000000 0     \n",
       "Map_K10_VBC_CLI:23889_T/C 0      0      0.00000000 0     \n",
       "Map_K10_VBC_CLI:28335_G/A 0      0      0.01754386 0     "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<ol class=list-inline>\n",
       "\t<li>485</li>\n",
       "\t<li>49</li>\n",
       "</ol>\n"
      ],
      "text/latex": [
       "\\begin{enumerate*}\n",
       "\\item 485\n",
       "\\item 49\n",
       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "1. 485\n",
       "2. 49\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "[1] 485  49"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X_no_orphan <- X_selected[GT_freq$snp_id, ]\n",
    "head(X_no_orphan)\n",
    "dim(X_no_orphan)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<ol class=list-inline>\n",
       "\t<li>459</li>\n",
       "\t<li>49</li>\n",
       "</ol>\n"
      ],
      "text/latex": [
       "\\begin{enumerate*}\n",
       "\\item 459\n",
       "\\item 49\n",
       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "1. 459\n",
       "2. 49\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "[1] 459  49"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th></th><th scope=col>MAP350</th><th scope=col>MAP351</th><th scope=col>MAP337</th><th scope=col>MAP284</th><th scope=col>MAP344</th><th scope=col>MAP343</th><th scope=col>MAP320</th><th scope=col>MAP291</th><th scope=col>MAP355</th><th scope=col>MAP358</th><th scope=col>...</th><th scope=col>MAP356</th><th scope=col>MAP321</th><th scope=col>MAP353</th><th scope=col>MAP339</th><th scope=col>MAP287</th><th scope=col>MAP357</th><th scope=col>MAP313</th><th scope=col>MAP341</th><th scope=col>MAP347</th><th scope=col>MAP342</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>Map_K10_VBC_CLI:6008_C/T</th><td>0.000000000</td><td>0          </td><td>0.000000000</td><td>0.005154639</td><td>0          </td><td>0.00000000 </td><td>0          </td><td>0.006756757</td><td>0          </td><td>0          </td><td>...        </td><td>0.004694836</td><td>0          </td><td>0.003690037</td><td>0          </td><td>0          </td><td>0          </td><td>0          </td><td>0          </td><td>0.00000000 </td><td>0          </td></tr>\n",
       "\t<tr><th scope=row>Map_K10_VBC_CLI:9890_C/T</th><td>0.000000000</td><td>0          </td><td>0.000000000</td><td>0.000000000</td><td>0          </td><td>0.00000000 </td><td>0          </td><td>0.007751938</td><td>0          </td><td>0          </td><td>...        </td><td>0.000000000</td><td>0          </td><td>0.000000000</td><td>0          </td><td>0          </td><td>0          </td><td>0          </td><td>0          </td><td>0.00000000 </td><td>0          </td></tr>\n",
       "\t<tr><th scope=row>Map_K10_VBC_CLI:10583_G/A</th><td>0.000000000</td><td>0          </td><td>0.005181347</td><td>0.000000000</td><td>0          </td><td>0.00000000 </td><td>0          </td><td>0.000000000</td><td>0          </td><td>0          </td><td>...        </td><td>0.000000000</td><td>0          </td><td>0.000000000</td><td>0          </td><td>0          </td><td>0          </td><td>1          </td><td>0          </td><td>0.00000000 </td><td>0          </td></tr>\n",
       "\t<tr><th scope=row>Map_K10_VBC_CLI:16181_A/G</th><td>0.009174312</td><td>0          </td><td>0.000000000</td><td>0.003759398</td><td>0          </td><td>0.00462963 </td><td>0          </td><td>0.000000000</td><td>0          </td><td>0          </td><td>...        </td><td>0.000000000</td><td>0          </td><td>0.000000000</td><td>0          </td><td>0          </td><td>0          </td><td>0          </td><td>0          </td><td>0.00000000 </td><td>0          </td></tr>\n",
       "\t<tr><th scope=row>Map_K10_VBC_CLI:23889_T/C</th><td>0.000000000</td><td>0          </td><td>0.000000000</td><td>0.007142857</td><td>0          </td><td>0.00000000 </td><td>0          </td><td>0.000000000</td><td>0          </td><td>0          </td><td>...        </td><td>0.000000000</td><td>0          </td><td>0.000000000</td><td>0          </td><td>0          </td><td>0          </td><td>0          </td><td>0          </td><td>0.00000000 </td><td>0          </td></tr>\n",
       "\t<tr><th scope=row>Map_K10_VBC_CLI:28335_G/A</th><td>0.000000000</td><td>0          </td><td>0.000000000</td><td>0.000000000</td><td>0          </td><td>0.00000000 </td><td>0          </td><td>0.000000000</td><td>0          </td><td>0          </td><td>...        </td><td>0.000000000</td><td>0          </td><td>0.000000000</td><td>0          </td><td>0          </td><td>0          </td><td>0          </td><td>0          </td><td>0.01754386 </td><td>0          </td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|lllllllllllllllllllllllllllllllllllllllllllllllll}\n",
       "  & MAP350 & MAP351 & MAP337 & MAP284 & MAP344 & MAP343 & MAP320 & MAP291 & MAP355 & MAP358 & ... & MAP356 & MAP321 & MAP353 & MAP339 & MAP287 & MAP357 & MAP313 & MAP341 & MAP347 & MAP342\\\\\n",
       "\\hline\n",
       "\tMap\\_K10\\_VBC\\_CLI:6008\\_C/T & 0.000000000 & 0           & 0.000000000 & 0.005154639 & 0           & 0.00000000  & 0           & 0.006756757 & 0           & 0           & ...         & 0.004694836 & 0           & 0.003690037 & 0           & 0           & 0           & 0           & 0           & 0.00000000  & 0          \\\\\n",
       "\tMap\\_K10\\_VBC\\_CLI:9890\\_C/T & 0.000000000 & 0           & 0.000000000 & 0.000000000 & 0           & 0.00000000  & 0           & 0.007751938 & 0           & 0           & ...         & 0.000000000 & 0           & 0.000000000 & 0           & 0           & 0           & 0           & 0           & 0.00000000  & 0          \\\\\n",
       "\tMap\\_K10\\_VBC\\_CLI:10583\\_G/A & 0.000000000 & 0           & 0.005181347 & 0.000000000 & 0           & 0.00000000  & 0           & 0.000000000 & 0           & 0           & ...         & 0.000000000 & 0           & 0.000000000 & 0           & 0           & 0           & 1           & 0           & 0.00000000  & 0          \\\\\n",
       "\tMap\\_K10\\_VBC\\_CLI:16181\\_A/G & 0.009174312 & 0           & 0.000000000 & 0.003759398 & 0           & 0.00462963  & 0           & 0.000000000 & 0           & 0           & ...         & 0.000000000 & 0           & 0.000000000 & 0           & 0           & 0           & 0           & 0           & 0.00000000  & 0          \\\\\n",
       "\tMap\\_K10\\_VBC\\_CLI:23889\\_T/C & 0.000000000 & 0           & 0.000000000 & 0.007142857 & 0           & 0.00000000  & 0           & 0.000000000 & 0           & 0           & ...         & 0.000000000 & 0           & 0.000000000 & 0           & 0           & 0           & 0           & 0           & 0.00000000  & 0          \\\\\n",
       "\tMap\\_K10\\_VBC\\_CLI:28335\\_G/A & 0.000000000 & 0           & 0.000000000 & 0.000000000 & 0           & 0.00000000  & 0           & 0.000000000 & 0           & 0           & ...         & 0.000000000 & 0           & 0.000000000 & 0           & 0           & 0           & 0           & 0           & 0.01754386  & 0          \\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "| <!--/--> | MAP350 | MAP351 | MAP337 | MAP284 | MAP344 | MAP343 | MAP320 | MAP291 | MAP355 | MAP358 | ... | MAP356 | MAP321 | MAP353 | MAP339 | MAP287 | MAP357 | MAP313 | MAP341 | MAP347 | MAP342 |\n",
       "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n",
       "| Map_K10_VBC_CLI:6008_C/T | 0.000000000 | 0           | 0.000000000 | 0.005154639 | 0           | 0.00000000  | 0           | 0.006756757 | 0           | 0           | ...         | 0.004694836 | 0           | 0.003690037 | 0           | 0           | 0           | 0           | 0           | 0.00000000  | 0           |\n",
       "| Map_K10_VBC_CLI:9890_C/T | 0.000000000 | 0           | 0.000000000 | 0.000000000 | 0           | 0.00000000  | 0           | 0.007751938 | 0           | 0           | ...         | 0.000000000 | 0           | 0.000000000 | 0           | 0           | 0           | 0           | 0           | 0.00000000  | 0           |\n",
       "| Map_K10_VBC_CLI:10583_G/A | 0.000000000 | 0           | 0.005181347 | 0.000000000 | 0           | 0.00000000  | 0           | 0.000000000 | 0           | 0           | ...         | 0.000000000 | 0           | 0.000000000 | 0           | 0           | 0           | 1           | 0           | 0.00000000  | 0           |\n",
       "| Map_K10_VBC_CLI:16181_A/G | 0.009174312 | 0           | 0.000000000 | 0.003759398 | 0           | 0.00462963  | 0           | 0.000000000 | 0           | 0           | ...         | 0.000000000 | 0           | 0.000000000 | 0           | 0           | 0           | 0           | 0           | 0.00000000  | 0           |\n",
       "| Map_K10_VBC_CLI:23889_T/C | 0.000000000 | 0           | 0.000000000 | 0.007142857 | 0           | 0.00000000  | 0           | 0.000000000 | 0           | 0           | ...         | 0.000000000 | 0           | 0.000000000 | 0           | 0           | 0           | 0           | 0           | 0.00000000  | 0           |\n",
       "| Map_K10_VBC_CLI:28335_G/A | 0.000000000 | 0           | 0.000000000 | 0.000000000 | 0           | 0.00000000  | 0           | 0.000000000 | 0           | 0           | ...         | 0.000000000 | 0           | 0.000000000 | 0           | 0           | 0           | 0           | 0           | 0.01754386  | 0           |\n",
       "\n"
      ],
      "text/plain": [
       "                          MAP350      MAP351 MAP337      MAP284      MAP344\n",
       "Map_K10_VBC_CLI:6008_C/T  0.000000000 0      0.000000000 0.005154639 0     \n",
       "Map_K10_VBC_CLI:9890_C/T  0.000000000 0      0.000000000 0.000000000 0     \n",
       "Map_K10_VBC_CLI:10583_G/A 0.000000000 0      0.005181347 0.000000000 0     \n",
       "Map_K10_VBC_CLI:16181_A/G 0.009174312 0      0.000000000 0.003759398 0     \n",
       "Map_K10_VBC_CLI:23889_T/C 0.000000000 0      0.000000000 0.007142857 0     \n",
       "Map_K10_VBC_CLI:28335_G/A 0.000000000 0      0.000000000 0.000000000 0     \n",
       "                          MAP343     MAP320 MAP291      MAP355 MAP358 ...\n",
       "Map_K10_VBC_CLI:6008_C/T  0.00000000 0      0.006756757 0      0      ...\n",
       "Map_K10_VBC_CLI:9890_C/T  0.00000000 0      0.007751938 0      0      ...\n",
       "Map_K10_VBC_CLI:10583_G/A 0.00000000 0      0.000000000 0      0      ...\n",
       "Map_K10_VBC_CLI:16181_A/G 0.00462963 0      0.000000000 0      0      ...\n",
       "Map_K10_VBC_CLI:23889_T/C 0.00000000 0      0.000000000 0      0      ...\n",
       "Map_K10_VBC_CLI:28335_G/A 0.00000000 0      0.000000000 0      0      ...\n",
       "                          MAP356      MAP321 MAP353      MAP339 MAP287 MAP357\n",
       "Map_K10_VBC_CLI:6008_C/T  0.004694836 0      0.003690037 0      0      0     \n",
       "Map_K10_VBC_CLI:9890_C/T  0.000000000 0      0.000000000 0      0      0     \n",
       "Map_K10_VBC_CLI:10583_G/A 0.000000000 0      0.000000000 0      0      0     \n",
       "Map_K10_VBC_CLI:16181_A/G 0.000000000 0      0.000000000 0      0      0     \n",
       "Map_K10_VBC_CLI:23889_T/C 0.000000000 0      0.000000000 0      0      0     \n",
       "Map_K10_VBC_CLI:28335_G/A 0.000000000 0      0.000000000 0      0      0     \n",
       "                          MAP313 MAP341 MAP347     MAP342\n",
       "Map_K10_VBC_CLI:6008_C/T  0      0      0.00000000 0     \n",
       "Map_K10_VBC_CLI:9890_C/T  0      0      0.00000000 0     \n",
       "Map_K10_VBC_CLI:10583_G/A 1      0      0.00000000 0     \n",
       "Map_K10_VBC_CLI:16181_A/G 0      0      0.00000000 0     \n",
       "Map_K10_VBC_CLI:23889_T/C 0      0      0.00000000 0     \n",
       "Map_K10_VBC_CLI:28335_G/A 0      0      0.01754386 0     "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X_no_orphan <- X_no_orphan[which(rowSums(X_no_orphan) != 0),] # remove snps without any samples\n",
    "dim(X_no_orphan)\n",
    "head(X_no_orphan)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [],
   "source": [
    "set.seed(1)\n",
    "u <- irlba(X_no_orphan, nu = 1, nv = 4)$v\n",
    "y_tsne <- Rtsne(u, check_duplicates = FALSE, perplexity = 10)$Y"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th scope=col>x</th><th scope=col>y</th><th scope=col>cow_id</th><th scope=col>type_1</th><th scope=col>type_2</th><th scope=col>farm</th><th scope=col>contamination</th><th scope=col>date</th><th scope=col>state</th><th scope=col>mix</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><td>  0.194241              </td><td>  5.816456              </td><td> 228                    </td><td>tissue                  </td><td>LymphNode2              </td><td>10                      </td><td>0                       </td><td>2008                    </td><td>PA                      </td><td>0                       </td></tr>\n",
       "\t<tr><td> -1.729482              </td><td>  6.495571              </td><td> 228                    </td><td>tissue                  </td><td>Ileum_20cm_from_IC_Valve</td><td>10                      </td><td>0                       </td><td>2008                    </td><td>PA                      </td><td>0                       </td></tr>\n",
       "\t<tr><td> 32.228836              </td><td>-14.141086              </td><td>  49                    </td><td>tissue                  </td><td>Ileum_20cm_from_IC_Valve</td><td>10                      </td><td>1                       </td><td>2006                    </td><td>PA                      </td><td>0                       </td></tr>\n",
       "\t<tr><td>-23.939030              </td><td> 24.796808              </td><td>  51                    </td><td>fecal                   </td><td>fecal                   </td><td>10                      </td><td>0                       </td><td>2004                    </td><td>PA                      </td><td>0                       </td></tr>\n",
       "\t<tr><td> 19.587131              </td><td> -1.762517              </td><td>9999                    </td><td>environmental           </td><td>environmental           </td><td>10                      </td><td>0                       </td><td>2006                    </td><td>PA                      </td><td>0                       </td></tr>\n",
       "\t<tr><td> 19.076608              </td><td> -4.211920              </td><td> 131                    </td><td>fecal                   </td><td>fecal                   </td><td>10                      </td><td>0                       </td><td>2006                    </td><td>PA                      </td><td>0                       </td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|llllllllll}\n",
       " x & y & cow\\_id & type\\_1 & type\\_2 & farm & contamination & date & state & mix\\\\\n",
       "\\hline\n",
       "\t   0.194241               &   5.816456               &  228                     & tissue                   & LymphNode2               & 10                       & 0                        & 2008                     & PA                       & 0                       \\\\\n",
       "\t  -1.729482                       &   6.495571                       &  228                             & tissue                           & Ileum\\_20cm\\_from\\_IC\\_Valve & 10                               & 0                                & 2008                             & PA                               & 0                               \\\\\n",
       "\t  32.228836                       & -14.141086                       &   49                             & tissue                           & Ileum\\_20cm\\_from\\_IC\\_Valve & 10                               & 1                                & 2006                             & PA                               & 0                               \\\\\n",
       "\t -23.939030               &  24.796808               &   51                     & fecal                    & fecal                    & 10                       & 0                        & 2004                     & PA                       & 0                       \\\\\n",
       "\t  19.587131               &  -1.762517               & 9999                     & environmental            & environmental            & 10                       & 0                        & 2006                     & PA                       & 0                       \\\\\n",
       "\t  19.076608               &  -4.211920               &  131                     & fecal                    & fecal                    & 10                       & 0                        & 2006                     & PA                       & 0                       \\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "| x | y | cow_id | type_1 | type_2 | farm | contamination | date | state | mix |\n",
       "|---|---|---|---|---|---|---|---|---|---|\n",
       "|   0.194241               |   5.816456               |  228                     | tissue                   | LymphNode2               | 10                       | 0                        | 2008                     | PA                       | 0                        |\n",
       "|  -1.729482               |   6.495571               |  228                     | tissue                   | Ileum_20cm_from_IC_Valve | 10                       | 0                        | 2008                     | PA                       | 0                        |\n",
       "|  32.228836               | -14.141086               |   49                     | tissue                   | Ileum_20cm_from_IC_Valve | 10                       | 1                        | 2006                     | PA                       | 0                        |\n",
       "| -23.939030               |  24.796808               |   51                     | fecal                    | fecal                    | 10                       | 0                        | 2004                     | PA                       | 0                        |\n",
       "|  19.587131               |  -1.762517               | 9999                     | environmental            | environmental            | 10                       | 0                        | 2006                     | PA                       | 0                        |\n",
       "|  19.076608               |  -4.211920               |  131                     | fecal                    | fecal                    | 10                       | 0                        | 2006                     | PA                       | 0                        |\n",
       "\n"
      ],
      "text/plain": [
       "  x          y          cow_id type_1        type_2                   farm\n",
       "1   0.194241   5.816456  228   tissue        LymphNode2               10  \n",
       "2  -1.729482   6.495571  228   tissue        Ileum_20cm_from_IC_Valve 10  \n",
       "3  32.228836 -14.141086   49   tissue        Ileum_20cm_from_IC_Valve 10  \n",
       "4 -23.939030  24.796808   51   fecal         fecal                    10  \n",
       "5  19.587131  -1.762517 9999   environmental environmental            10  \n",
       "6  19.076608  -4.211920  131   fecal         fecal                    10  \n",
       "  contamination date state mix\n",
       "1 0             2008 PA    0  \n",
       "2 0             2008 PA    0  \n",
       "3 1             2006 PA    0  \n",
       "4 0             2004 PA    0  \n",
       "5 0             2006 PA    0  \n",
       "6 0             2006 PA    0  "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "d <- data.frame(\n",
    "    x = y_tsne[, 1], \n",
    "    y = y_tsne[, 2],\n",
    "    cow_id = meta_selected$CowID,\n",
    "    type_1 = meta_selected$Type %>% factor(),\n",
    "    type_2 = meta_selected$Type2 %>% factor(),\n",
    "    farm = meta_selected$Farm %>% factor(),\n",
    "    contamination = meta_selected$Contamination %>% factor(),\n",
    "    date = meta_selected$Date %>% factor(),\n",
    "    state = meta_selected$State %>% factor(),\n",
    "    mix = meta_selected$Mix %>% factor()\n",
    ")\n",
    "head(d)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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nzMmM8+QdS3q4GICMT893PkjXgAzkvb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\nBi4NAvq9ggAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "options(repr.plot.width=6, repr.plot.height=4)\n",
    "d %>% \n",
    "    ggplot(aes(x = x, y = y, color = date)) + \n",
    "    geom_point(size = 0.75) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "w\n",
       "  0   1   2   3   4   5   6   7  12  17  23  26  35  44 \n",
       "386  40  14   6   2   1   1   1   2   1   1   1   1   2 "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "w <- rowSums(X_no_orphan > 0.1 & X_no_orphan < 0.9)\n",
    "table(w)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th></th><th scope=col>x</th><th scope=col>y</th><th scope=col>n_heterozygous</th><th scope=col>n_heterozygous_weight</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>MAP350</th><td>  0.194241</td><td>  5.816456</td><td> 6        </td><td>0.4287037 </td></tr>\n",
       "\t<tr><th scope=row>MAP351</th><td> -1.729482</td><td>  6.495571</td><td> 8        </td><td>1.0398148 </td></tr>\n",
       "\t<tr><th scope=row>MAP337</th><td> 32.228836</td><td>-14.141086</td><td> 6        </td><td>0.5722222 </td></tr>\n",
       "\t<tr><th scope=row>MAP284</th><td>-23.939030</td><td> 24.796808</td><td> 4        </td><td>0.1370370 </td></tr>\n",
       "\t<tr><th scope=row>MAP344</th><td> 19.587131</td><td> -1.762517</td><td>10        </td><td>2.8817460 </td></tr>\n",
       "\t<tr><th scope=row>MAP343</th><td> 19.076608</td><td> -4.211920</td><td> 6        </td><td>0.6787037 </td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|llll}\n",
       "  & x & y & n\\_heterozygous & n\\_heterozygous\\_weight\\\\\n",
       "\\hline\n",
       "\tMAP350 &   0.194241 &   5.816456 &  6         & 0.4287037 \\\\\n",
       "\tMAP351 &  -1.729482 &   6.495571 &  8         & 1.0398148 \\\\\n",
       "\tMAP337 &  32.228836 & -14.141086 &  6         & 0.5722222 \\\\\n",
       "\tMAP284 & -23.939030 &  24.796808 &  4         & 0.1370370 \\\\\n",
       "\tMAP344 &  19.587131 &  -1.762517 & 10         & 2.8817460 \\\\\n",
       "\tMAP343 &  19.076608 &  -4.211920 &  6         & 0.6787037 \\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "| <!--/--> | x | y | n_heterozygous | n_heterozygous_weight |\n",
       "|---|---|---|---|---|\n",
       "| MAP350 |   0.194241 |   5.816456 |  6         | 0.4287037  |\n",
       "| MAP351 |  -1.729482 |   6.495571 |  8         | 1.0398148  |\n",
       "| MAP337 |  32.228836 | -14.141086 |  6         | 0.5722222  |\n",
       "| MAP284 | -23.939030 |  24.796808 |  4         | 0.1370370  |\n",
       "| MAP344 |  19.587131 |  -1.762517 | 10         | 2.8817460  |\n",
       "| MAP343 |  19.076608 |  -4.211920 |  6         | 0.6787037  |\n",
       "\n"
      ],
      "text/plain": [
       "       x          y          n_heterozygous n_heterozygous_weight\n",
       "MAP350   0.194241   5.816456  6             0.4287037            \n",
       "MAP351  -1.729482   6.495571  8             1.0398148            \n",
       "MAP337  32.228836 -14.141086  6             0.5722222            \n",
       "MAP284 -23.939030  24.796808  4             0.1370370            \n",
       "MAP344  19.587131  -1.762517 10             2.8817460            \n",
       "MAP343  19.076608  -4.211920  6             0.6787037            "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "d <- data.frame(\n",
    "    x = y_tsne[, 1], \n",
    "    y = y_tsne[, 2],\n",
    "    n_heterozygous = (X_no_orphan > 0.1 & X_no_orphan < 0.9) %>% colSums(),\n",
    "    n_heterozygous_weight = ((X_no_orphan > 0.1 & X_no_orphan < 0.9) * (1 / (w + 1))) %>% colSums()\n",
    ")\n",
    "head(d)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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19/3Yy51te++MUvSn5+fnj/X/3qV6bjorS0VH7xi1/I+PHj5ZprrjFDQbRj6/77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\nAggkpAABdEI2K5VCAAEEEEAAAQQQi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o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",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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SkXAggggAACCCDgBwECaD+0Ugll1BlA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\nAAEEEEAAAQTCKvD/AcqoWh8QPQ86AAAAAElFTkSuQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "options(repr.plot.width=6, repr.plot.height=4)\n",
    "d %>% \n",
    "    ggplot(aes(x = x, y = y, color = n_heterozygous)) + \n",
    "    geom_point(size = 0.75) +\n",
    "    scale_colour_gradient2()\n",
    "d %>% \n",
    "    ggplot(aes(x = x, y = y, color = n_heterozygous_weight)) + \n",
    "    geom_point(size = 0.75) +\n",
    "    scale_colour_gradient2()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "R",
   "language": "R",
   "name": "ir"
  },
  "language_info": {
   "codemirror_mode": "r",
   "file_extension": ".r",
   "mimetype": "text/x-r-source",
   "name": "R",
   "pygments_lexer": "r",
   "version": "3.6.1"
  }
 },
 "nbformat": 4,
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