4 - Risk-of-cancer-a-simple-analysis.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "_uuid": "b79944707f55b1ed45d8002e39f6a1a99678a4f1"
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Warning message:\n",
      "“replacing previous import ‘ggplot2::empty’ by ‘plyr::empty’ when loading ‘caret’”"
     ]
    },
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th scope=col>Gene.Description</th><th scope=col>Gene.Accession.Number</th><th scope=col>X1</th><th scope=col>call</th><th scope=col>X2</th><th scope=col>call.1</th><th scope=col>X3</th><th scope=col>call.2</th><th scope=col>X4</th><th scope=col>call.3</th><th scope=col>⋯</th><th scope=col>X29</th><th scope=col>call.33</th><th scope=col>X30</th><th scope=col>call.34</th><th scope=col>X31</th><th scope=col>call.35</th><th scope=col>X32</th><th scope=col>call.36</th><th scope=col>X33</th><th scope=col>call.37</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><td>AFFX-BioB-5_at (endogenous control) </td><td>AFFX-BioB-5_at                      </td><td>-214                                </td><td>A                                   </td><td>-139                                </td><td>A                                   </td><td> -76                                </td><td>A                                   </td><td>-135                                </td><td>A                                   </td><td>⋯                                   </td><td>  15                                </td><td>A                                   </td><td>-318                                </td><td>A                                   </td><td> -32                                </td><td>A                                   </td><td>-124                                </td><td>A                                   </td><td>-135                                </td><td>A                                   </td></tr>\n",
       "\t<tr><td>AFFX-BioB-M_at (endogenous control) </td><td>AFFX-BioB-M_at                      </td><td>-153                                </td><td>A                                   </td><td> -73                                </td><td>A                                   </td><td> -49                                </td><td>A                                   </td><td>-114                                </td><td>A                                   </td><td>⋯                                   </td><td>-114                                </td><td>A                                   </td><td>-192                                </td><td>A                                   </td><td> -49                                </td><td>A                                   </td><td> -79                                </td><td>A                                   </td><td>-186                                </td><td>A                                   </td></tr>\n",
       "\t<tr><td>AFFX-BioB-3_at (endogenous control) </td><td>AFFX-BioB-3_at                      </td><td> -58                                </td><td>A                                   </td><td>  -1                                </td><td>A                                   </td><td>-307                                </td><td>A                                   </td><td> 265                                </td><td>A                                   </td><td>⋯                                   </td><td>   2                                </td><td>A                                   </td><td> -95                                </td><td>A                                   </td><td>  49                                </td><td>A                                   </td><td> -37                                </td><td>A                                   </td><td> -70                                </td><td>A                                   </td></tr>\n",
       "\t<tr><td>AFFX-BioC-5_at (endogenous control) </td><td>AFFX-BioC-5_at                      </td><td>  88                                </td><td>A                                   </td><td> 283                                </td><td>A                                   </td><td> 309                                </td><td>A                                   </td><td>  12                                </td><td>A                                   </td><td>⋯                                   </td><td> 193                                </td><td>A                                   </td><td> 312                                </td><td>A                                   </td><td> 230                                </td><td>P                                   </td><td> 330                                </td><td>A                                   </td><td> 337                                </td><td>A                                   </td></tr>\n",
       "\t<tr><td>AFFX-BioC-3_at (endogenous control) </td><td>AFFX-BioC-3_at                      </td><td>-295                                </td><td>A                                   </td><td>-264                                </td><td>A                                   </td><td>-376                                </td><td>A                                   </td><td>-419                                </td><td>A                                   </td><td>⋯                                   </td><td> -51                                </td><td>A                                   </td><td>-139                                </td><td>A                                   </td><td>-367                                </td><td>A                                   </td><td>-188                                </td><td>A                                   </td><td>-407                                </td><td>A                                   </td></tr>\n",
       "\t<tr><td>AFFX-BioDn-5_at (endogenous control)</td><td>AFFX-BioDn-5_at                     </td><td>-558                                </td><td>A                                   </td><td>-400                                </td><td>A                                   </td><td>-650                                </td><td>A                                   </td><td>-585                                </td><td>A                                   </td><td>⋯                                   </td><td>-155                                </td><td>A                                   </td><td>-344                                </td><td>A                                   </td><td>-508                                </td><td>A                                   </td><td>-423                                </td><td>A                                   </td><td>-566                                </td><td>A                                   </td></tr>\n",
       "\t<tr><td>AFFX-BioDn-3_at (endogenous control)</td><td>AFFX-BioDn-3_at                     </td><td> 199                                </td><td>A                                   </td><td>-330                                </td><td>A                                   </td><td>  33                                </td><td>A                                   </td><td> 158                                </td><td>A                                   </td><td>⋯                                   </td><td>  29                                </td><td>A                                   </td><td> 324                                </td><td>A                                   </td><td>-349                                </td><td>A                                   </td><td> -31                                </td><td>A                                   </td><td>-141                                </td><td>A                                   </td></tr>\n",
       "\t<tr><td>AFFX-CreX-5_at (endogenous control) </td><td>AFFX-CreX-5_at                      </td><td>-176                                </td><td>A                                   </td><td>-168                                </td><td>A                                   </td><td>-367                                </td><td>A                                   </td><td>-253                                </td><td>A                                   </td><td>⋯                                   </td><td>-105                                </td><td>A                                   </td><td>-237                                </td><td>A                                   </td><td>-194                                </td><td>A                                   </td><td>-223                                </td><td>A                                   </td><td>-315                                </td><td>A                                   </td></tr>\n",
       "\t<tr><td>AFFX-CreX-3_at (endogenous control) </td><td>AFFX-CreX-3_at                      </td><td> 252                                </td><td>A                                   </td><td> 101                                </td><td>A                                   </td><td> 206                                </td><td>A                                   </td><td>  49                                </td><td>A                                   </td><td>⋯                                   </td><td>  42                                </td><td>A                                   </td><td> 105                                </td><td>A                                   </td><td>  34                                </td><td>A                                   </td><td> -82                                </td><td>A                                   </td><td> 206                                </td><td>A                                   </td></tr>\n",
       "\t<tr><td>AFFX-BioB-5_st (endogenous control) </td><td>AFFX-BioB-5_st                      </td><td> 206                                </td><td>A                                   </td><td>  74                                </td><td>A                                   </td><td>-215                                </td><td>A                                   </td><td>  31                                </td><td>A                                   </td><td>⋯                                   </td><td> 524                                </td><td>A                                   </td><td> 167                                </td><td>A                                   </td><td> -56                                </td><td>A                                   </td><td> 176                                </td><td>A                                   </td><td> 321                                </td><td>A                                   </td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|llllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll}\n",
       " Gene.Description & Gene.Accession.Number & X1 & call & X2 & call.1 & X3 & call.2 & X4 & call.3 & ⋯ & X29 & call.33 & X30 & call.34 & X31 & call.35 & X32 & call.36 & X33 & call.37\\\\\n",
       "\\hline\n",
       "\t AFFX-BioB-5\\_at (endogenous control)  & AFFX-BioB-5\\_at                       & -214                                   & A                                      & -139                                   & A                                      &  -76                                   & A                                      & -135                                   & A                                      & ⋯                                      &   15                                   & A                                      & -318                                   & A                                      &  -32                                   & A                                      & -124                                   & A                                      & -135                                   & A                                     \\\\\n",
       "\t AFFX-BioB-M\\_at (endogenous control)  & AFFX-BioB-M\\_at                       & -153                                   & A                                      &  -73                                   & A                                      &  -49                                   & A                                      & -114                                   & A                                      & ⋯                                      & -114                                   & A                                      & -192                                   & A                                      &  -49                                   & A                                      &  -79                                   & A                                      & -186                                   & A                                     \\\\\n",
       "\t AFFX-BioB-3\\_at (endogenous control)  & AFFX-BioB-3\\_at                       &  -58                                   & A                                      &   -1                                   & A                                      & -307                                   & A                                      &  265                                   & A                                      & ⋯                                      &    2                                   & A                                      &  -95                                   & A                                      &   49                                   & A                                      &  -37                                   & A                                      &  -70                                   & A                                     \\\\\n",
       "\t AFFX-BioC-5\\_at (endogenous control)  & AFFX-BioC-5\\_at                       &   88                                   & A                                      &  283                                   & A                                      &  309                                   & A                                      &   12                                   & A                                      & ⋯                                      &  193                                   & A                                      &  312                                   & A                                      &  230                                   & P                                      &  330                                   & A                                      &  337                                   & A                                     \\\\\n",
       "\t AFFX-BioC-3\\_at (endogenous control)  & AFFX-BioC-3\\_at                       & -295                                   & A                                      & -264                                   & A                                      & -376                                   & A                                      & -419                                   & A                                      & ⋯                                      &  -51                                   & A                                      & -139                                   & A                                      & -367                                   & A                                      & -188                                   & A                                      & -407                                   & A                                     \\\\\n",
       "\t AFFX-BioDn-5\\_at (endogenous control) & AFFX-BioDn-5\\_at                      & -558                                   & A                                      & -400                                   & A                                      & -650                                   & A                                      & -585                                   & A                                      & ⋯                                      & -155                                   & A                                      & -344                                   & A                                      & -508                                   & A                                      & -423                                   & A                                      & -566                                   & A                                     \\\\\n",
       "\t AFFX-BioDn-3\\_at (endogenous control) & AFFX-BioDn-3\\_at                      &  199                                   & A                                      & -330                                   & A                                      &   33                                   & A                                      &  158                                   & A                                      & ⋯                                      &   29                                   & A                                      &  324                                   & A                                      & -349                                   & A                                      &  -31                                   & A                                      & -141                                   & A                                     \\\\\n",
       "\t AFFX-CreX-5\\_at (endogenous control)  & AFFX-CreX-5\\_at                       & -176                                   & A                                      & -168                                   & A                                      & -367                                   & A                                      & -253                                   & A                                      & ⋯                                      & -105                                   & A                                      & -237                                   & A                                      & -194                                   & A                                      & -223                                   & A                                      & -315                                   & A                                     \\\\\n",
       "\t AFFX-CreX-3\\_at (endogenous control)  & AFFX-CreX-3\\_at                       &  252                                   & A                                      &  101                                   & A                                      &  206                                   & A                                      &   49                                   & A                                      & ⋯                                      &   42                                   & A                                      &  105                                   & A                                      &   34                                   & A                                      &  -82                                   & A                                      &  206                                   & A                                     \\\\\n",
       "\t AFFX-BioB-5\\_st (endogenous control)  & AFFX-BioB-5\\_st                       &  206                                   & A                                      &   74                                   & A                                      & -215                                   & A                                      &   31                                   & A                                      & ⋯                                      &  524                                   & A                                      &  167                                   & A                                      &  -56                                   & A                                      &  176                                   & A                                      &  321                                   & A                                     \\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "| Gene.Description | Gene.Accession.Number | X1 | call | X2 | call.1 | X3 | call.2 | X4 | call.3 | ⋯ | X29 | call.33 | X30 | call.34 | X31 | call.35 | X32 | call.36 | X33 | call.37 |\n",
       "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n",
       "| AFFX-BioB-5_at (endogenous control)  | AFFX-BioB-5_at                       | -214                                 | A                                    | -139                                 | A                                    |  -76                                 | A                                    | -135                                 | A                                    | ⋯                                    |   15                                 | A                                    | -318                                 | A                                    |  -32                                 | A                                    | -124                                 | A                                    | -135                                 | A                                    |\n",
       "| AFFX-BioB-M_at (endogenous control)  | AFFX-BioB-M_at                       | -153                                 | A                                    |  -73                                 | A                                    |  -49                                 | A                                    | -114                                 | A                                    | ⋯                                    | -114                                 | A                                    | -192                                 | A                                    |  -49                                 | A                                    |  -79                                 | A                                    | -186                                 | A                                    |\n",
       "| AFFX-BioB-3_at (endogenous control)  | AFFX-BioB-3_at                       |  -58                                 | A                                    |   -1                                 | A                                    | -307                                 | A                                    |  265                                 | A                                    | ⋯                                    |    2                                 | A                                    |  -95                                 | A                                    |   49                                 | A                                    |  -37                                 | A                                    |  -70                                 | A                                    |\n",
       "| AFFX-BioC-5_at (endogenous control)  | AFFX-BioC-5_at                       |   88                                 | A                                    |  283                                 | A                                    |  309                                 | A                                    |   12                                 | A                                    | ⋯                                    |  193                                 | A                                    |  312                                 | A                                    |  230                                 | P                                    |  330                                 | A                                    |  337                                 | A                                    |\n",
       "| AFFX-BioC-3_at (endogenous control)  | AFFX-BioC-3_at                       | -295                                 | A                                    | -264                                 | A                                    | -376                                 | A                                    | -419                                 | A                                    | ⋯                                    |  -51                                 | A                                    | -139                                 | A                                    | -367                                 | A                                    | -188                                 | A                                    | -407                                 | A                                    |\n",
       "| AFFX-BioDn-5_at (endogenous control) | AFFX-BioDn-5_at                      | -558                                 | A                                    | -400                                 | A                                    | -650                                 | A                                    | -585                                 | A                                    | ⋯                                    | -155                                 | A                                    | -344                                 | A                                    | -508                                 | A                                    | -423                                 | A                                    | -566                                 | A                                    |\n",
       "| AFFX-BioDn-3_at (endogenous control) | AFFX-BioDn-3_at                      |  199                                 | A                                    | -330                                 | A                                    |   33                                 | A                                    |  158                                 | A                                    | ⋯                                    |   29                                 | A                                    |  324                                 | A                                    | -349                                 | A                                    |  -31                                 | A                                    | -141                                 | A                                    |\n",
       "| AFFX-CreX-5_at (endogenous control)  | AFFX-CreX-5_at                       | -176                                 | A                                    | -168                                 | A                                    | -367                                 | A                                    | -253                                 | A                                    | ⋯                                    | -105                                 | A                                    | -237                                 | A                                    | -194                                 | A                                    | -223                                 | A                                    | -315                                 | A                                    |\n",
       "| AFFX-CreX-3_at (endogenous control)  | AFFX-CreX-3_at                       |  252                                 | A                                    |  101                                 | A                                    |  206                                 | A                                    |   49                                 | A                                    | ⋯                                    |   42                                 | A                                    |  105                                 | A                                    |   34                                 | A                                    |  -82                                 | A                                    |  206                                 | A                                    |\n",
       "| AFFX-BioB-5_st (endogenous control)  | AFFX-BioB-5_st                       |  206                                 | A                                    |   74                                 | A                                    | -215                                 | A                                    |   31                                 | A                                    | ⋯                                    |  524                                 | A                                    |  167                                 | A                                    |  -56                                 | A                                    |  176                                 | A                                    |  321                                 | A                                    |\n",
       "\n"
      ],
      "text/plain": [
       "   Gene.Description                     Gene.Accession.Number X1   call X2  \n",
       "1  AFFX-BioB-5_at (endogenous control)  AFFX-BioB-5_at        -214 A    -139\n",
       "2  AFFX-BioB-M_at (endogenous control)  AFFX-BioB-M_at        -153 A     -73\n",
       "3  AFFX-BioB-3_at (endogenous control)  AFFX-BioB-3_at         -58 A      -1\n",
       "4  AFFX-BioC-5_at (endogenous control)  AFFX-BioC-5_at          88 A     283\n",
       "5  AFFX-BioC-3_at (endogenous control)  AFFX-BioC-3_at        -295 A    -264\n",
       "6  AFFX-BioDn-5_at (endogenous control) AFFX-BioDn-5_at       -558 A    -400\n",
       "7  AFFX-BioDn-3_at (endogenous control) AFFX-BioDn-3_at        199 A    -330\n",
       "8  AFFX-CreX-5_at (endogenous control)  AFFX-CreX-5_at        -176 A    -168\n",
       "9  AFFX-CreX-3_at (endogenous control)  AFFX-CreX-3_at         252 A     101\n",
       "10 AFFX-BioB-5_st (endogenous control)  AFFX-BioB-5_st         206 A      74\n",
       "   call.1 X3   call.2 X4   call.3 ⋯ X29  call.33 X30  call.34 X31  call.35 X32 \n",
       "1  A       -76 A      -135 A      ⋯   15 A       -318 A        -32 A       -124\n",
       "2  A       -49 A      -114 A      ⋯ -114 A       -192 A        -49 A        -79\n",
       "3  A      -307 A       265 A      ⋯    2 A        -95 A         49 A        -37\n",
       "4  A       309 A        12 A      ⋯  193 A        312 A        230 P        330\n",
       "5  A      -376 A      -419 A      ⋯  -51 A       -139 A       -367 A       -188\n",
       "6  A      -650 A      -585 A      ⋯ -155 A       -344 A       -508 A       -423\n",
       "7  A        33 A       158 A      ⋯   29 A        324 A       -349 A        -31\n",
       "8  A      -367 A      -253 A      ⋯ -105 A       -237 A       -194 A       -223\n",
       "9  A       206 A        49 A      ⋯   42 A        105 A         34 A        -82\n",
       "10 A      -215 A        31 A      ⋯  524 A        167 A        -56 A        176\n",
       "   call.36 X33  call.37\n",
       "1  A       -135 A      \n",
       "2  A       -186 A      \n",
       "3  A        -70 A      \n",
       "4  A        337 A      \n",
       "5  A       -407 A      \n",
       "6  A       -566 A      \n",
       "7  A       -141 A      \n",
       "8  A       -315 A      \n",
       "9  A        206 A      \n",
       "10 A        321 A      "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "shh<-suppressMessages\n",
    "shh(library(tidyverse))\n",
    "shh(library(caret))\n",
    "shh(library(reshape2))\n",
    "shh(library(Amelia))\n",
    "trainset<-read.csv(\"../input/data_set_ALL_AML_train.csv\",stringsAsFactors = F,quote = \"\")\n",
    "head(trainset,10) "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "_uuid": "95864a36cf01d4958a6955d00f9023391216dd38"
   },
   "source": [
    "**Reshaping the Data ** "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "_uuid": "8560f1f699a6b148d601cdad7e4c292071c558a6"
   },
   "outputs": [],
   "source": [
    "#Replace everything that starts with X as some other name. Number\n",
    "#Num is the experiment number?\n",
    "colnames(trainset)<-gsub(\"X{1,}\",\"Num\",colnames(trainset))\n",
    "trainset<-trainset %>% \n",
    " select(-contains(\"call\"),-Gene.Description) %>% \n",
    "  melt(id.vars=\"Gene.Accession.Number\") %>% \n",
    "  spread(Gene.Accession.Number,value) %>% \n",
    "  rename(ExptNo.=variable) \n",
    "#Find Missing values "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "_uuid": "02e6e759a30fd3e18a9b680f0d12fcdc29e6156e"
   },
   "source": [
    "**Is there any Missing Data? ** "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "_kg_hide-input": true,
    "_uuid": "f1b357139fb3a82c751c71b1f361de4c7a80a0a7"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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KkxfPjw4cOHvzD8hdXNE4cQbhz34/Rp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\nzxORyscqX++PDlnEiOjwyd8885GfJ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     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "missmap(trainset,col=c(\"snow\",\"indianred4\"),main=\"Who's Missing Out?!\",x.cex=0.000000000003,\n",
    "       y.cex=0.5)   \n",
    "      "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "_uuid": "ec337e4233de5e4b1a905b1396372c71d92cd53d"
   },
   "source": [
    "We interestingly have no missing data in our data."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "_uuid": "a6600d224c04d5211fc3e1ca3a2593722d7e46df"
   },
   "source": [
    "**Loading Actual Data**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "_uuid": "18181bd7e8720d91f55c724f8b02754c3d73a8cf"
   },
   "outputs": [],
   "source": [
    "#dataset contains no missing values\n",
    "#Load patient data and cancer type\n",
    "actual<-read.csv(\"../input/actual.csv\",stringsAsFactors = F,quote=\"\")\n",
    "#Susbset data for first 72 patients\n",
    "trainme<-trainset[1:72,]\n",
    "#bind to training set\n",
    "patientdata<-cbind(trainme,actual)\n",
    "patientdata<-patientdata %>% \n",
    "  select(patient,cancer,everything()) %>% \n",
    "  mutate(patient=as.factor(patient),cancer=as.factor(cancer))\n",
    "training<-patientdata %>% \n",
    "  filter(!is.na(ExptNo.)) "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "_uuid": "f814a833f2c41aeff8a5d0326df471301860d8ac"
   },
   "source": [
    "**Visualization and Some Observations from the Data**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "_uuid": "370fa573a6e3790b07f3d19faa801f3954e9daf8"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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c9tSol6asCLxS0pX66cOWzA6YULxwUYFSlgG/p3W197zMwBVQt6QgAA6APB7kZX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tNXd39wz7VKvV2ZYK/As0Go1en/EHx2LJ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\nAADgif8HAAgJvWfhv8wAAAAASUVORK5CYII="
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#In this part, I'll visualize the expression levels. Since the dataset is huge, \n",
    "#we've only visualised the top 10 genes expressed. \n",
    "shh(patientdata %>% \n",
    "select(-ExptNo.) %>% \n",
    "  gather(\"id\",\"value\",3:ncol(.)) %>% \n",
    " mutate(GeneAccNum=as.factor(id),genelvls=value) %>% \n",
    "  select(-id,-value) %>% \n",
    "  filter(!is.na(genelvls)) %>% \n",
    "  top_n(10) %>% \n",
    "ggplot(aes(GeneAccNum))+geom_bar(aes(fill=genelvls))+\n",
    "  theme(axis.text.x = element_text(angle=90),\n",
    "plot.title = element_text(hjust=0.5))+facet_wrap(~cancer)+\n",
    "  ggtitle(\"Top 10 Genes Expressed in AML and ALL patients\")+\n",
    "  labs(x=\"Gene Accession Number\",caption=\"Based on original dataset\")+\n",
    "  coord_flip()+\n",
    "  scale_fill_continuous(low=\"indianred4\",high = \"steelblue3\"))  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "_uuid": "4dfbad23771520db6015e76114e0b80f604c421b"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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7RV02YjJyx88SOv6KNH/R3szI1vpnGLpd/kamduvPJzpvSfoVncRweWDPynUTMr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\n/D9LKZ4vgGr2/wAAAABJRU5ErkJggg=="
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "shh(require(ggthemes))\n",
    "patientdata %>% \n",
    "filter(cancer==\"AML\") %>% \n",
    "select(-ExptNo.) %>% \n",
    "gather(\"id\",\"value\",3:ncol(.)) %>% \n",
    "rename(Gene=id,GeneLvls=value) %>% \n",
    "filter(!is.na(GeneLvls)) %>% \n",
    "top_n(10,GeneLvls) %>% \n",
    "ggplot(aes(patient,GeneLvls,col=Gene))+geom_point()+\n",
    "theme_economist()+ggtitle(\"Top Expression levels in AML patients\")\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "_uuid": "9cf76b9c06a4902c2600f84f5afcb45f4f1cdf7a"
   },
   "source": [
    "Training our Models"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "_kg_hide-input": true,
    "_uuid": "b3f06a31d12dcb3e1711074ef7d25b535af791a1"
   },
   "outputs": [],
   "source": [
    "#First partition the data into a training and validating dataset.\n",
    "training<-training %>% \n",
    "         select(-patient,-ExptNo.)\n",
    "traincanc<-createDataPartition(training$cancer,p=0.85,list=F)\n",
    "validatecanc<-training[-traincanc,]\n",
    "traincanc<-training[traincanc,]\n",
    "#Setup metric and control. We'll use accuracy as our metric\n",
    "control<-trainControl(method=\"repeatedcv\",number=10,repeats = 3)\n",
    "metric<-\"Accuracy\"\n",
    "#Set up models\n",
    "set.seed(233)\n",
    "fit.svm1<-train(cancer~.,data=traincanc,method=\"svmRadial\",trControl=control,metric=metric,\n",
    "                verbose=F)\n",
    "set.seed(233)\n",
    "fit.knn1<-train(cancer~.,data=traincanc,method=\"knn\",trControl=control,metric=metric)\n",
    "set.seed(233)\n",
    "fit.rf1<-train(cancer~.,data=traincanc,method=\"rf\",trControl=control,metric=metric,\n",
    "               verbose=F)\n",
    "set.seed(233)\n",
    "gbm_grid<-expand.grid(\n",
    "n.trees=5,\n",
    "interaction.depth=3,\n",
    "shrinkage=0.03,\n",
    "n.minobsinnode=2)\n",
    "fit.gbm<-train(cancer~.,data=traincanc,method=\"gbm\",trControl=control,metric=metric,\n",
    "               tuneGrid=gbm_grid,verbose=F)\n",
    "result<-resamples(list(rf=fit.rf1,svm=fit.svm1,knn=fit.knn1,gbm=fit.gbm)) "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "_uuid": "926696604a2b0e1edd6b30ff09c5249bb3592a93"
   },
   "source": [
    "**Result of our Training. **"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "_kg_hide-input": true,
    "_uuid": "cebe158652c16c49deb57d727a3eed02e7033df4"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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63kkgAAAMDWYY6ddZwIPGGpiU/j12HXKWMSHgAAAIBZGLGzjompE3eId5htCvcP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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot(fit.rf1$finalModel,main=\"Final Random Forest\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "_kg_hide-input": true,
    "_uuid": "5fb02ac47b2aa6e373e186504dd6a494ff0fe77d"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Pv5k8dGrxaR4OZdHvHJ4Axsttu+iNy7Mvvak++f+aGHi0ZEpH/fDt0a9Zw3csAH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tXdJUm+8wkR1Zt+qcAtFL6UNTjY/foso6C1Wa0q7d8r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     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dotplot(result,main=\"Model Accuracy Results\")  \n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "_uuid": "85e86d91fa3083ade94d4d78a05e2dfca8907d8e"
   },
   "source": [
    "From the plot, we can conclude that the random forest is the best model for prediction. However, we'll need to test this on a validation data set to see how well it works on \"unseen\" data. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "_uuid": "06ed4380f5e9b837b9bb1e157357995859477c3d"
   },
   "source": [
    "**Validation Results**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "_uuid": "34e2b41bb1b438629ae594a53444199681a0ee38"
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<dl class=dl-horizontal>\n",
       "\t<dt>Accuracy</dt>\n",
       "\t\t<dd>1</dd>\n",
       "\t<dt>Kappa</dt>\n",
       "\t\t<dd>1</dd>\n",
       "\t<dt>AccuracyLower</dt>\n",
       "\t\t<dd>0.478176249895019</dd>\n",
       "\t<dt>AccuracyUpper</dt>\n",
       "\t\t<dd>1</dd>\n",
       "\t<dt>AccuracyNull</dt>\n",
       "\t\t<dd>0.8</dd>\n",
       "\t<dt>AccuracyPValue</dt>\n",
       "\t\t<dd>0.32768</dd>\n",
       "\t<dt>McnemarPValue</dt>\n",
       "\t\t<dd>NaN</dd>\n",
       "</dl>\n"
      ],
      "text/latex": [
       "\\begin{description*}\n",
       "\\item[Accuracy] 1\n",
       "\\item[Kappa] 1\n",
       "\\item[AccuracyLower] 0.478176249895019\n",
       "\\item[AccuracyUpper] 1\n",
       "\\item[AccuracyNull] 0.8\n",
       "\\item[AccuracyPValue] 0.32768\n",
       "\\item[McnemarPValue] NaN\n",
       "\\end{description*}\n"
      ],
      "text/markdown": [
       "Accuracy\n",
       ":   1Kappa\n",
       ":   1AccuracyLower\n",
       ":   0.478176249895019AccuracyUpper\n",
       ":   1AccuracyNull\n",
       ":   0.8AccuracyPValue\n",
       ":   0.32768McnemarPValue\n",
       ":   NaN\n",
       "\n"
      ],
      "text/plain": [
       "      Accuracy          Kappa  AccuracyLower  AccuracyUpper   AccuracyNull \n",
       "     1.0000000      1.0000000      0.4781762      1.0000000      0.8000000 \n",
       "AccuracyPValue  McnemarPValue \n",
       "     0.3276800            NaN "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "predictcanc<-predict(fit.rf1,validatecanc)\n",
    "cm12<-confusionMatrix(predictcanc,validatecanc$cancer)\n",
    "cm12$overall"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "_uuid": "d49dee393071c3e45780766ad2782507ad758c0a"
   },
   "source": [
    "**Comparison With Experimental Data**\n",
    "The model does a pretty good job."
   ]
  }
 ],
 "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": "3.4.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}