{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import os, numpy, warnings\n",
    "import pandas as pd"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "os.environ['R_HOME'] = '/home/gdpoore/anaconda3/envs/tcgaAnalysisPythonR/lib/R'\n",
    "warnings.filterwarnings('ignore')\n",
    "%config InlineBackend.figure_format = 'retina'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "%reload_ext rpy2.ipython"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "%%R\n",
    "\n",
    "require(ggplot2)\n",
    "require(snm)\n",
    "require(limma)\n",
    "require(edgeR)\n",
    "require(dplyr)\n",
    "require(edgeR)\n",
    "require(pvca)\n",
    "require(lme4)\n",
    "require(ggsci)\n",
    "require(cowplot)\n",
    "require(doMC)\n",
    "\n",
    "numCores <- detectCores()\n",
    "registerDoMC(cores=numCores)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "%%R\n",
    "load(\"tcgaVbDataAndMetadataAndSNM.RData\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[1] 18116  1993\n",
       "[1] 17625  1993\n",
       "[1] 17625    41\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%R\n",
    "print(dim(vbDataBarnDFReconciled))\n",
    "print(dim(vbDataBarnDFReconciledQC))\n",
    "print(dim(metadataSamplesAllQC))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[1] 17975    41\n",
       "[1] 17975  1993\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%R\n",
    "metadataSamplesAllQCAML <- droplevels(metadataSamplesAll[! (is.na(metadataSamplesAll$race) | \n",
    "                                                           is.na(metadataSamplesAll$portion_is_ffpe) |\n",
    "                                                           is.na(metadataSamplesAll$age_at_diagnosis)),])\n",
    "# metadataSamplesAllQCAML <- droplevels(metadataSamplesAllQCAML[metadataSamplesAllQCAML$disease_type == \"Acute Myeloid Leukemia\",])\n",
    "vbDataBarnDFReconciledQCAML <- vbDataBarnDFReconciled[rownames(metadataSamplesAllQCAML),]\n",
    "\n",
    "print(dim(metadataSamplesAllQCAML))\n",
    "print(dim(vbDataBarnDFReconciledQCAML))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "  [1] \"sample_typeSolid Tissue Normal\"                                                        \n",
       "  [2] \"sample_typeAdditional - New Primary\"                                                   \n",
       "  [3] \"sample_typeAdditional Metastatic\"                                                      \n",
       "  [4] \"sample_typeBlood Derived Normal\"                                                       \n",
       "  [5] \"sample_typeMetastatic\"                                                                 \n",
       "  [6] \"sample_typePrimary Tumor\"                                                              \n",
       "  [7] \"sample_typeRecurrent Tumor\"                                                            \n",
       "  [8] \"data_submitting_center_labelBroad Institute of MIT and Harvard\"                        \n",
       "  [9] \"data_submitting_center_labelCanada's Michael Smith Genome Sciences Centre\"             \n",
       " [10] \"data_submitting_center_labelHarvard Medical School\"                                    \n",
       " [11] \"data_submitting_center_labelMD Anderson - Institute for Applied Cancer Science\"        \n",
       " [12] \"data_submitting_center_labelMD Anderson - RPPA Core Facility (Proteomics)\"             \n",
       " [13] \"data_submitting_center_labelUniversity of North Carolina\"                              \n",
       " [14] \"data_submitting_center_labelWashington University School of Medicine\"                  \n",
       " [15] \"platformHiSeq X Ten\"                                                                   \n",
       " [16] \"platformIllumina GA\"                                                                   \n",
       " [17] \"platformIllumina HiSeq\"                                                                \n",
       " [18] \"platformIllumina MiSeq\"                                                                \n",
       " [19] \"platformLS 454\"                                                                        \n",
       " [20] \"experimental_strategyWGS\"                                                              \n",
       " [21] \"tissue_source_site_labelABS - Lahey Clinic\"                                            \n",
       " [22] \"tissue_source_site_labelABS - Research Metrics Pakistan\"                               \n",
       " [23] \"tissue_source_site_labelABS IUPUI\"                                                     \n",
       " [24] \"tissue_source_site_labelAlbert Einstein Medical Center\"                                \n",
       " [25] \"tissue_source_site_labelAlberta Health Services\"                                       \n",
       " [26] \"tissue_source_site_labelAsbestos Diseases Research Institute\"                          \n",
       " [27] \"tissue_source_site_labelAsterand\"                                                      \n",
       " [28] \"tissue_source_site_labelBarretos Cancer Hospital\"                                      \n",
       " [29] \"tissue_source_site_labelBaylor College of Medicine\"                                    \n",
       " [30] \"tissue_source_site_labelBC Cancer Agency\"                                              \n",
       " [31] \"tissue_source_site_labelBLN - Baylor\"                                                  \n",
       " [32] \"tissue_source_site_labelBLN - Cleveland Clinic\"                                        \n",
       " [33] \"tissue_source_site_labelBLN - University Of Chicago\"                                   \n",
       " [34] \"tissue_source_site_labelBLN - University of Miami\"                                     \n",
       " [35] \"tissue_source_site_labelBLN - UT Southwestern Medical Center at Dallas\"                \n",
       " [36] \"tissue_source_site_labelBLN Baylor\"                                                    \n",
       " [37] \"tissue_source_site_labelBLN UT Southwestern Medical Center at Dallas\"                  \n",
       " [38] \"tissue_source_site_labelBoston Medical Center\"                                         \n",
       " [39] \"tissue_source_site_labelBrigham and Women's Hospital\"                                  \n",
       " [40] \"tissue_source_site_labelBrigham and Women's Hospital Division of Thoracic Surgery\"     \n",
       " [41] \"tissue_source_site_labelBritish Columbia Cancer Agency\"                                \n",
       " [42] \"tissue_source_site_labelCandler\"                                                       \n",
       " [43] \"tissue_source_site_labelCase Western\"                                                  \n",
       " [44] \"tissue_source_site_labelCase Western - St Joes\"                                        \n",
       " [45] \"tissue_source_site_labelCedars Sinai\"                                                  \n",
       " [46] \"tissue_source_site_labelCHI-Penrose Colorado\"                                          \n",
       " [47] \"tissue_source_site_labelChristiana Care\"                                               \n",
       " [48] \"tissue_source_site_labelChristiana Healthcare\"                                         \n",
       " [49] \"tissue_source_site_labelCleveland Clinic\"                                              \n",
       " [50] \"tissue_source_site_labelCleveland Clinic Foundation\"                                   \n",
       " [51] \"tissue_source_site_labelColumbia University\"                                           \n",
       " [52] \"tissue_source_site_labelCornell Medical College\"                                       \n",
       " [53] \"tissue_source_site_labelCureline\"                                                      \n",
       " [54] \"tissue_source_site_labelDept of Neurosurgery at University of Heidelberg\"              \n",
       " [55] \"tissue_source_site_labelDuke\"                                                          \n",
       " [56] \"tissue_source_site_labelDuke University\"                                               \n",
       " [57] \"tissue_source_site_labelEmory University\"                                              \n",
       " [58] \"tissue_source_site_labelEmory University - Winship Cancer Inst.\"                       \n",
       " [59] \"tissue_source_site_labelErasmus MC\"                                                    \n",
       " [60] \"tissue_source_site_labelEssen\"                                                         \n",
       " [61] \"tissue_source_site_labelFondazione-Besta\"                                              \n",
       " [62] \"tissue_source_site_labelFox Chase\"                                                     \n",
       " [63] \"tissue_source_site_labelFox Chase Cancer Center\"                                       \n",
       " [64] \"tissue_source_site_labelFundacio Clinic per a la Recerca Biomedica\"                    \n",
       " [65] \"tissue_source_site_labelGarvan Institute of Medical Research\"                          \n",
       " [66] \"tissue_source_site_labelGlobal BioClinical - Georgia\"                                  \n",
       " [67] \"tissue_source_site_labelGlobal Bioclinical-Moldova\"                                    \n",
       " [68] \"tissue_source_site_labelGreater Poland Cancer Center\"                                  \n",
       " [69] \"tissue_source_site_labelGreenville Health System\"                                      \n",
       " [70] \"tissue_source_site_labelGreenville Health Systems\"                                     \n",
       " [71] \"tissue_source_site_labelGundersen Lutheran\"                                            \n",
       " [72] \"tissue_source_site_labelGundersen Lutheran Health System\"                              \n",
       " [73] \"tissue_source_site_labelGynecologic Oncology Group\"                                    \n",
       " [74] \"tissue_source_site_labelHartford\"                                                      \n",
       " [75] \"tissue_source_site_labelHartford Hospital\"                                             \n",
       " [76] \"tissue_source_site_labelHarvard\"                                                       \n",
       " [77] \"tissue_source_site_labelHarvard Beth Israel\"                                           \n",
       " [78] \"tissue_source_site_labelHenry Ford Hospital\"                                           \n",
       " [79] \"tissue_source_site_labelHoly Cross\"                                                    \n",
       " [80] \"tissue_source_site_labelHospital Louis Pradel\"                                         \n",
       " [81] \"tissue_source_site_labelHuntsman Cancer Institute\"                                     \n",
       " [82] \"tissue_source_site_labelIDI-IRCCS\"                                                     \n",
       " [83] \"tissue_source_site_labelILSbio\"                                                        \n",
       " [84] \"tissue_source_site_labelILSBIO\"                                                        \n",
       " [85] \"tissue_source_site_labelImperial College\"                                              \n",
       " [86] \"tissue_source_site_labelIndivumed\"                                                     \n",
       " [87] \"tissue_source_site_labelInstitut Curie\"                                                \n",
       " [88] \"tissue_source_site_labelInstitute for Medical Research\"                                \n",
       " [89] \"tissue_source_site_labelInstitute of Human Virology Nigeria\"                           \n",
       " [90] \"tissue_source_site_labelInternational Genomics Conosrtium\"                             \n",
       " [91] \"tissue_source_site_labelInternational Genomics Consortium\"                             \n",
       " [92] \"tissue_source_site_labelJohn Wayne Cancer Center\"                                      \n",
       " [93] \"tissue_source_site_labelJohns Hopkins\"                                                 \n",
       " [94] \"tissue_source_site_labelMaine Medical Center\"                                          \n",
       " [95] \"tissue_source_site_labelMary Bird Perkins Cancer Center - Our Lady of the Lake\"        \n",
       " [96] \"tissue_source_site_labelMayo\"                                                          \n",
       " [97] \"tissue_source_site_labelMayo Clinic\"                                                   \n",
       " [98] \"tissue_source_site_labelMayo Clinic - Rochester\"                                       \n",
       " [99] \"tissue_source_site_labelMayo Clinic Arizona\"                                           \n",
       "[100] \"tissue_source_site_labelMayo Clinic Rochester\"                                         \n",
       "[101] \"tissue_source_site_labelMD Anderson\"                                                   \n",
       "[102] \"tissue_source_site_labelMD Anderson Cancer Center\"                                     \n",
       "[103] \"tissue_source_site_labelMedical College of Georgia\"                                    \n",
       "[104] \"tissue_source_site_labelMedical College of Wisconsin\"                                  \n",
       "[105] \"tissue_source_site_labelMelbourne Health\"                                              \n",
       "[106] \"tissue_source_site_labelMemorial Sloan Kettering\"                                      \n",
       "[107] \"tissue_source_site_labelMemorial Sloan Kettering Cancer Center\"                        \n",
       "[108] \"tissue_source_site_labelMichigan University\"                                           \n",
       "[109] \"tissue_source_site_labelMilan - Italy, Fondazione IRCCS Instituto Neuroligico C. Besta\"\n",
       "[110] \"tissue_source_site_labelMoffitt Cancer Center\"                                         \n",
       "[111] \"tissue_source_site_labelMolecular Response\"                                            \n",
       "[112] \"tissue_source_site_labelMontefiore Medical Center\"                                     \n",
       "[113] \"tissue_source_site_labelMount Sinai School of Medicine\"                                \n",
       "[114] \"tissue_source_site_labelMSKCC\"                                                         \n",
       "[115] \"tissue_source_site_labelNational Cancer Center Korea\"                                  \n",
       "[116] \"tissue_source_site_labelNational Institutes of Health\"                                 \n",
       "[117] \"tissue_source_site_labelNCI HRE Branch\"                                                \n",
       "[118] \"tissue_source_site_labelNCI Urologic Oncology Branch\"                                  \n",
       "[119] \"tissue_source_site_labelNorthwestern University\"                                       \n",
       "[120] \"tissue_source_site_labelNot available\"                                                 \n",
       "[121] \"tissue_source_site_labelOhio State University\"                                         \n",
       "[122] \"tissue_source_site_labelOntario Institute for Cancer Research\"                         \n",
       "[123] \"tissue_source_site_labelOntario Institute for Cancer Research (OICR)\"                  \n",
       "[124] \"tissue_source_site_labelPapworth Hospital\"                                             \n",
       "[125] \"tissue_source_site_labelPeter MacCallum Cancer Center\"                                 \n",
       "[126] \"tissue_source_site_labelPrince Charles Hospital\"                                       \n",
       "[127] \"tissue_source_site_labelPrincess Margaret Hospital (Canada)\"                           \n",
       "[128] \"tissue_source_site_labelPROCURE Biobank\"                                               \n",
       "[129] \"tissue_source_site_labelProteogenex, Inc\"                                              \n",
       "[130] \"tissue_source_site_labelProvidence Portland Medical Center\"                            \n",
       "[131] \"tissue_source_site_labelRegina Elena National Cancer Institute\"                        \n",
       "[132] \"tissue_source_site_labelRoswell\"                                                       \n",
       "[133] \"tissue_source_site_labelRoswell Park\"                                                  \n",
       "[134] \"tissue_source_site_labelSaint Mary's Health Care\"                                      \n",
       "[135] \"tissue_source_site_labelSapienza University of Rome\"                                   \n",
       "[136] \"tissue_source_site_labelSingHealth\"                                                    \n",
       "[137] \"tissue_source_site_labelSpectrum Health\"                                               \n",
       "[138] \"tissue_source_site_labelSt Joseph's Medical Center (MD)\"                               \n",
       "[139] \"tissue_source_site_labelSt. Joseph's Hospital (AZ)\"                                    \n",
       "[140] \"tissue_source_site_labelSt. Joseph's Hospital Arizona\"                                 \n",
       "[141] \"tissue_source_site_labelSt. University of Colorado Denver\"                             \n",
       "[142] \"tissue_source_site_labelStanford University\"                                           \n",
       "[143] \"tissue_source_site_labelTayside Tissue Bank\"                                           \n",
       "[144] \"tissue_source_site_labelTechnical University of Munich\"                                \n",
       "[145] \"tissue_source_site_labelThe Ohio State University\"                                     \n",
       "[146] \"tissue_source_site_labelThe University of New South Wales\"                             \n",
       "[147] \"tissue_source_site_labelThomas Jefferson University\"                                   \n",
       "[148] \"tissue_source_site_labelThoraxklinik\"                                                  \n",
       "[149] \"tissue_source_site_labelThoraxklinik at University Hospital Heidelberg\"                \n",
       "[150] \"tissue_source_site_labelToronto Western Hospital\"                                      \n",
       "[151] \"tissue_source_site_labelTranslational Genomics Research Institute\"                     \n",
       "[152] \"tissue_source_site_labelTufts Medical Center\"                                          \n",
       "[153] \"tissue_source_site_labelUCSF\"                                                          \n",
       "[154] \"tissue_source_site_labelUNC\"                                                           \n",
       "[155] \"tissue_source_site_labelUniversity Health Network\"                                     \n",
       "[156] \"tissue_source_site_labelUniversity Health Network, Toronto\"                            \n",
       "[157] \"tissue_source_site_labelUniversity Hospital Erlangen\"                                  \n",
       "[158] \"tissue_source_site_labelUniversity Hospital Motol\"                                     \n",
       "[159] \"tissue_source_site_labelUniversity Medical Center Hamburg-Eppendorf\"                   \n",
       "[160] \"tissue_source_site_labelUniversity of Alabama\"                                         \n",
       "[161] \"tissue_source_site_labelUniversity of Arizona\"                                         \n",
       "[162] \"tissue_source_site_labelUniversity of California San Francisco\"                        \n",
       "[163] \"tissue_source_site_labelUniversity of California, Davis\"                               \n",
       "[164] \"tissue_source_site_labelUniversity of Chicago\"                                         \n",
       "[165] \"tissue_source_site_labelUniversity of Colorado Denver\"                                 \n",
       "[166] \"tissue_source_site_labelUniversity of Florida\"                                         \n",
       "[167] \"tissue_source_site_labelUniversity of Hawaii\"                                          \n",
       "[168] \"tissue_source_site_labelUniversity of Iowa\"                                            \n",
       "[169] \"tissue_source_site_labelUniversity of Kansas\"                                          \n",
       "[170] \"tissue_source_site_labelUniversity of Kansas Medical Center\"                           \n",
       "[171] \"tissue_source_site_labelUniversity of Liverpool\"                                       \n",
       "[172] \"tissue_source_site_labelUniversity of Miami\"                                           \n",
       "[173] \"tissue_source_site_labelUniversity of Michigan\"                                        \n",
       "[174] \"tissue_source_site_labelUniversity Of Michigan\"                                        \n",
       "[175] \"tissue_source_site_labelUniversity of Minnesota\"                                       \n",
       "[176] \"tissue_source_site_labelUniversity of Nebraska Medical Center (UNMC)\"                  \n",
       "[177] \"tissue_source_site_labelUniversity of New Mexico\"                                      \n",
       "[178] \"tissue_source_site_labelUniversity of North Carolina\"                                  \n",
       "[179] \"tissue_source_site_labelUniversity of Oklahoma HSC\"                                    \n",
       "[180] \"tissue_source_site_labelUniversity of Pennsylvania\"                                    \n",
       "[181] \"tissue_source_site_labelUniversity of Pittsburgh\"                                      \n",
       "[182] \"tissue_source_site_labelUniversity of Puerto Rico\"                                     \n",
       "[183] \"tissue_source_site_labelUniversity of Sao Paulo\"                                       \n",
       "[184] \"tissue_source_site_labelUniversity of Schleswig-Holstein\"                              \n",
       "[185] \"tissue_source_site_labelUniversity of Sheffield\"                                       \n",
       "[186] \"tissue_source_site_labelUniversity of Southern California\"                             \n",
       "[187] \"tissue_source_site_labelUniversity of Sydney\"                                          \n",
       "[188] \"tissue_source_site_labelUniversity of Texas MD Anderson Cancer Center\"                 \n",
       "[189] \"tissue_source_site_labelUniversity of Ulm\"                                             \n",
       "[190] \"tissue_source_site_labelUniversity of Utah\"                                            \n",
       "[191] \"tissue_source_site_labelUniversity of Washington\"                                      \n",
       "[192] \"tissue_source_site_labelValley Hospital\"                                               \n",
       "[193] \"tissue_source_site_labelVanderbilt\"                                                    \n",
       "[194] \"tissue_source_site_labelVanderbilt University\"                                         \n",
       "[195] \"tissue_source_site_labelWake Forest University\"                                        \n",
       "[196] \"tissue_source_site_labelWalter Reed\"                                                   \n",
       "[197] \"tissue_source_site_labelWashington University\"                                         \n",
       "[198] \"tissue_source_site_labelWashington University - Alabama\"                               \n",
       "[199] \"tissue_source_site_labelWashington University - CALGB\"                                 \n",
       "[200] \"tissue_source_site_labelWashington University - CHUV\"                                  \n",
       "[201] \"tissue_source_site_labelWashington University - Cleveland Clinic\"                      \n",
       "[202] \"tissue_source_site_labelWashington University - Emory\"                                 \n",
       "[203] \"tissue_source_site_labelWashington University - Mayo Clinic\"                           \n",
       "[204] \"tissue_source_site_labelWashington University - NYU\"                                   \n",
       "[205] \"tissue_source_site_labelWashington University - Rush University\"                       \n",
       "[206] \"tissue_source_site_labelWashington University - St. Louis\"                             \n",
       "[207] \"tissue_source_site_labelWashington University St. Louis\"                               \n",
       "[208] \"tissue_source_site_labelWills Eye Institute\"                                           \n",
       "[209] \"tissue_source_site_labelYale\"                                                          \n",
       "[210] \"tissue_source_site_labelYale University\"                                               \n",
       "[211] \"portion_is_ffpeYES\"                                                                    \n",
       "  [1] \"sampletypeSolidTissueNormal\"                                             \n",
       "  [2] \"sampletypeAdditionalNewPrimary\"                                          \n",
       "  [3] \"sampletypeAdditionalMetastatic\"                                          \n",
       "  [4] \"sampletypeBloodDerivedNormal\"                                            \n",
       "  [5] \"sampletypeMetastatic\"                                                    \n",
       "  [6] \"sampletypePrimaryTumor\"                                                  \n",
       "  [7] \"sampletypeRecurrentTumor\"                                                \n",
       "  [8] \"datasubmittingcenterlabelBroadInstituteofMITandHarvard\"                  \n",
       "  [9] \"datasubmittingcenterlabelCanadasMichaelSmithGenomeSciencesCentre\"        \n",
       " [10] \"datasubmittingcenterlabelHarvardMedicalSchool\"                           \n",
       " [11] \"datasubmittingcenterlabelMDAndersonInstituteforAppliedCancerScience\"     \n",
       " [12] \"datasubmittingcenterlabelMDAndersonRPPACoreFacilityProteomics\"           \n",
       " [13] \"datasubmittingcenterlabelUniversityofNorthCarolina\"                      \n",
       " [14] \"datasubmittingcenterlabelWashingtonUniversitySchoolofMedicine\"           \n",
       " [15] \"platformHiSeqXTen\"                                                       \n",
       " [16] \"platformIlluminaGA\"                                                      \n",
       " [17] \"platformIlluminaHiSeq\"                                                   \n",
       " [18] \"platformIlluminaMiSeq\"                                                   \n",
       " [19] \"platformLS454\"                                                           \n",
       " [20] \"experimentalstrategyWGS\"                                                 \n",
       " [21] \"tissuesourcesitelabelABSLaheyClinic\"                                     \n",
       " [22] \"tissuesourcesitelabelABSResearchMetricsPakistan\"                         \n",
       " [23] \"tissuesourcesitelabelABSIUPUI\"                                           \n",
       " [24] \"tissuesourcesitelabelAlbertEinsteinMedicalCenter\"                        \n",
       " [25] \"tissuesourcesitelabelAlbertaHealthServices\"                              \n",
       " [26] \"tissuesourcesitelabelAsbestosDiseasesResearchInstitute\"                  \n",
       " [27] \"tissuesourcesitelabelAsterand\"                                           \n",
       " [28] \"tissuesourcesitelabelBarretosCancerHospital\"                             \n",
       " [29] \"tissuesourcesitelabelBaylorCollegeofMedicine\"                            \n",
       " [30] \"tissuesourcesitelabelBCCancerAgency\"                                     \n",
       " [31] \"tissuesourcesitelabelBLNBaylor\"                                          \n",
       " [32] \"tissuesourcesitelabelBLNClevelandClinic\"                                 \n",
       " [33] \"tissuesourcesitelabelBLNUniversityOfChicago\"                             \n",
       " [34] \"tissuesourcesitelabelBLNUniversityofMiami\"                               \n",
       " [35] \"tissuesourcesitelabelBLNUTSouthwesternMedicalCenteratDallas\"             \n",
       " [36] \"tissuesourcesitelabelBLNBaylor\"                                          \n",
       " [37] \"tissuesourcesitelabelBLNUTSouthwesternMedicalCenteratDallas\"             \n",
       " [38] \"tissuesourcesitelabelBostonMedicalCenter\"                                \n",
       " [39] \"tissuesourcesitelabelBrighamandWomensHospital\"                           \n",
       " [40] \"tissuesourcesitelabelBrighamandWomensHospitalDivisionofThoracicSurgery\"  \n",
       " [41] \"tissuesourcesitelabelBritishColumbiaCancerAgency\"                        \n",
       " [42] \"tissuesourcesitelabelCandler\"                                            \n",
       " [43] \"tissuesourcesitelabelCaseWestern\"                                        \n",
       " [44] \"tissuesourcesitelabelCaseWesternStJoes\"                                  \n",
       " [45] \"tissuesourcesitelabelCedarsSinai\"                                        \n",
       " [46] \"tissuesourcesitelabelCHIPenroseColorado\"                                 \n",
       " [47] \"tissuesourcesitelabelChristianaCare\"                                     \n",
       " [48] \"tissuesourcesitelabelChristianaHealthcare\"                               \n",
       " [49] \"tissuesourcesitelabelClevelandClinic\"                                    \n",
       " [50] \"tissuesourcesitelabelClevelandClinicFoundation\"                          \n",
       " [51] \"tissuesourcesitelabelColumbiaUniversity\"                                 \n",
       " [52] \"tissuesourcesitelabelCornellMedicalCollege\"                              \n",
       " [53] \"tissuesourcesitelabelCureline\"                                           \n",
       " [54] \"tissuesourcesitelabelDeptofNeurosurgeryatUniversityofHeidelberg\"         \n",
       " [55] \"tissuesourcesitelabelDuke\"                                               \n",
       " [56] \"tissuesourcesitelabelDukeUniversity\"                                     \n",
       " [57] \"tissuesourcesitelabelEmoryUniversity\"                                    \n",
       " [58] \"tissuesourcesitelabelEmoryUniversityWinshipCancerInst\"                   \n",
       " [59] \"tissuesourcesitelabelErasmusMC\"                                          \n",
       " [60] \"tissuesourcesitelabelEssen\"                                              \n",
       " [61] \"tissuesourcesitelabelFondazioneBesta\"                                    \n",
       " [62] \"tissuesourcesitelabelFoxChase\"                                           \n",
       " [63] \"tissuesourcesitelabelFoxChaseCancerCenter\"                               \n",
       " [64] \"tissuesourcesitelabelFundacioClinicperalaRecercaBiomedica\"               \n",
       " [65] \"tissuesourcesitelabelGarvanInstituteofMedicalResearch\"                   \n",
       " [66] \"tissuesourcesitelabelGlobalBioClinicalGeorgia\"                           \n",
       " [67] \"tissuesourcesitelabelGlobalBioclinicalMoldova\"                           \n",
       " [68] \"tissuesourcesitelabelGreaterPolandCancerCenter\"                          \n",
       " [69] \"tissuesourcesitelabelGreenvilleHealthSystem\"                             \n",
       " [70] \"tissuesourcesitelabelGreenvilleHealthSystems\"                            \n",
       " [71] \"tissuesourcesitelabelGundersenLutheran\"                                  \n",
       " [72] \"tissuesourcesitelabelGundersenLutheranHealthSystem\"                      \n",
       " [73] \"tissuesourcesitelabelGynecologicOncologyGroup\"                           \n",
       " [74] \"tissuesourcesitelabelHartford\"                                           \n",
       " [75] \"tissuesourcesitelabelHartfordHospital\"                                   \n",
       " [76] \"tissuesourcesitelabelHarvard\"                                            \n",
       " [77] \"tissuesourcesitelabelHarvardBethIsrael\"                                  \n",
       " [78] \"tissuesourcesitelabelHenryFordHospital\"                                  \n",
       " [79] \"tissuesourcesitelabelHolyCross\"                                          \n",
       " [80] \"tissuesourcesitelabelHospitalLouisPradel\"                                \n",
       " [81] \"tissuesourcesitelabelHuntsmanCancerInstitute\"                            \n",
       " [82] \"tissuesourcesitelabelIDIIRCCS\"                                           \n",
       " [83] \"tissuesourcesitelabelILSbio\"                                             \n",
       " [84] \"tissuesourcesitelabelILSBIO\"                                             \n",
       " [85] \"tissuesourcesitelabelImperialCollege\"                                    \n",
       " [86] \"tissuesourcesitelabelIndivumed\"                                          \n",
       " [87] \"tissuesourcesitelabelInstitutCurie\"                                      \n",
       " [88] \"tissuesourcesitelabelInstituteforMedicalResearch\"                        \n",
       " [89] \"tissuesourcesitelabelInstituteofHumanVirologyNigeria\"                    \n",
       " [90] \"tissuesourcesitelabelInternationalGenomicsConosrtium\"                    \n",
       " [91] \"tissuesourcesitelabelInternationalGenomicsConsortium\"                    \n",
       " [92] \"tissuesourcesitelabelJohnWayneCancerCenter\"                              \n",
       " [93] \"tissuesourcesitelabelJohnsHopkins\"                                       \n",
       " [94] \"tissuesourcesitelabelMaineMedicalCenter\"                                 \n",
       " [95] \"tissuesourcesitelabelMaryBirdPerkinsCancerCenterOurLadyoftheLake\"        \n",
       " [96] \"tissuesourcesitelabelMayo\"                                               \n",
       " [97] \"tissuesourcesitelabelMayoClinic\"                                         \n",
       " [98] \"tissuesourcesitelabelMayoClinicRochester\"                                \n",
       " [99] \"tissuesourcesitelabelMayoClinicArizona\"                                  \n",
       "[100] \"tissuesourcesitelabelMayoClinicRochester\"                                \n",
       "[101] \"tissuesourcesitelabelMDAnderson\"                                         \n",
       "[102] \"tissuesourcesitelabelMDAndersonCancerCenter\"                             \n",
       "[103] \"tissuesourcesitelabelMedicalCollegeofGeorgia\"                            \n",
       "[104] \"tissuesourcesitelabelMedicalCollegeofWisconsin\"                          \n",
       "[105] \"tissuesourcesitelabelMelbourneHealth\"                                    \n",
       "[106] \"tissuesourcesitelabelMemorialSloanKettering\"                             \n",
       "[107] \"tissuesourcesitelabelMemorialSloanKetteringCancerCenter\"                 \n",
       "[108] \"tissuesourcesitelabelMichiganUniversity\"                                 \n",
       "[109] \"tissuesourcesitelabelMilanItalyFondazioneIRCCSInstitutoNeuroligicoCBesta\"\n",
       "[110] \"tissuesourcesitelabelMoffittCancerCenter\"                                \n",
       "[111] \"tissuesourcesitelabelMolecularResponse\"                                  \n",
       "[112] \"tissuesourcesitelabelMontefioreMedicalCenter\"                            \n",
       "[113] \"tissuesourcesitelabelMountSinaiSchoolofMedicine\"                         \n",
       "[114] \"tissuesourcesitelabelMSKCC\"                                              \n",
       "[115] \"tissuesourcesitelabelNationalCancerCenterKorea\"                          \n",
       "[116] \"tissuesourcesitelabelNationalInstitutesofHealth\"                         \n",
       "[117] \"tissuesourcesitelabelNCIHREBranch\"                                       \n",
       "[118] \"tissuesourcesitelabelNCIUrologicOncologyBranch\"                          \n",
       "[119] \"tissuesourcesitelabelNorthwesternUniversity\"                             \n",
       "[120] \"tissuesourcesitelabelNotavailable\"                                       \n",
       "[121] \"tissuesourcesitelabelOhioStateUniversity\"                                \n",
       "[122] \"tissuesourcesitelabelOntarioInstituteforCancerResearch\"                  \n",
       "[123] \"tissuesourcesitelabelOntarioInstituteforCancerResearchOICR\"              \n",
       "[124] \"tissuesourcesitelabelPapworthHospital\"                                   \n",
       "[125] \"tissuesourcesitelabelPeterMacCallumCancerCenter\"                         \n",
       "[126] \"tissuesourcesitelabelPrinceCharlesHospital\"                              \n",
       "[127] \"tissuesourcesitelabelPrincessMargaretHospitalCanada\"                     \n",
       "[128] \"tissuesourcesitelabelPROCUREBiobank\"                                     \n",
       "[129] \"tissuesourcesitelabelProteogenexInc\"                                     \n",
       "[130] \"tissuesourcesitelabelProvidencePortlandMedicalCenter\"                    \n",
       "[131] \"tissuesourcesitelabelReginaElenaNationalCancerInstitute\"                 \n",
       "[132] \"tissuesourcesitelabelRoswell\"                                            \n",
       "[133] \"tissuesourcesitelabelRoswellPark\"                                        \n",
       "[134] \"tissuesourcesitelabelSaintMarysHealthCare\"                               \n",
       "[135] \"tissuesourcesitelabelSapienzaUniversityofRome\"                           \n",
       "[136] \"tissuesourcesitelabelSingHealth\"                                         \n",
       "[137] \"tissuesourcesitelabelSpectrumHealth\"                                     \n",
       "[138] \"tissuesourcesitelabelStJosephsMedicalCenterMD\"                           \n",
       "[139] \"tissuesourcesitelabelStJosephsHospitalAZ\"                                \n",
       "[140] \"tissuesourcesitelabelStJosephsHospitalArizona\"                           \n",
       "[141] \"tissuesourcesitelabelStUniversityofColoradoDenver\"                       \n",
       "[142] \"tissuesourcesitelabelStanfordUniversity\"                                 \n",
       "[143] \"tissuesourcesitelabelTaysideTissueBank\"                                  \n",
       "[144] \"tissuesourcesitelabelTechnicalUniversityofMunich\"                        \n",
       "[145] \"tissuesourcesitelabelTheOhioStateUniversity\"                             \n",
       "[146] \"tissuesourcesitelabelTheUniversityofNewSouthWales\"                       \n",
       "[147] \"tissuesourcesitelabelThomasJeffersonUniversity\"                          \n",
       "[148] \"tissuesourcesitelabelThoraxklinik\"                                       \n",
       "[149] \"tissuesourcesitelabelThoraxklinikatUniversityHospitalHeidelberg\"         \n",
       "[150] \"tissuesourcesitelabelTorontoWesternHospital\"                             \n",
       "[151] \"tissuesourcesitelabelTranslationalGenomicsResearchInstitute\"             \n",
       "[152] \"tissuesourcesitelabelTuftsMedicalCenter\"                                 \n",
       "[153] \"tissuesourcesitelabelUCSF\"                                               \n",
       "[154] \"tissuesourcesitelabelUNC\"                                                \n",
       "[155] \"tissuesourcesitelabelUniversityHealthNetwork\"                            \n",
       "[156] \"tissuesourcesitelabelUniversityHealthNetworkToronto\"                     \n",
       "[157] \"tissuesourcesitelabelUniversityHospitalErlangen\"                         \n",
       "[158] \"tissuesourcesitelabelUniversityHospitalMotol\"                            \n",
       "[159] \"tissuesourcesitelabelUniversityMedicalCenterHamburgEppendorf\"            \n",
       "[160] \"tissuesourcesitelabelUniversityofAlabama\"                                \n",
       "[161] \"tissuesourcesitelabelUniversityofArizona\"                                \n",
       "[162] \"tissuesourcesitelabelUniversityofCaliforniaSanFrancisco\"                 \n",
       "[163] \"tissuesourcesitelabelUniversityofCaliforniaDavis\"                        \n",
       "[164] \"tissuesourcesitelabelUniversityofChicago\"                                \n",
       "[165] \"tissuesourcesitelabelUniversityofColoradoDenver\"                         \n",
       "[166] \"tissuesourcesitelabelUniversityofFlorida\"                                \n",
       "[167] \"tissuesourcesitelabelUniversityofHawaii\"                                 \n",
       "[168] \"tissuesourcesitelabelUniversityofIowa\"                                   \n",
       "[169] \"tissuesourcesitelabelUniversityofKansas\"                                 \n",
       "[170] \"tissuesourcesitelabelUniversityofKansasMedicalCenter\"                    \n",
       "[171] \"tissuesourcesitelabelUniversityofLiverpool\"                              \n",
       "[172] \"tissuesourcesitelabelUniversityofMiami\"                                  \n",
       "[173] \"tissuesourcesitelabelUniversityofMichigan\"                               \n",
       "[174] \"tissuesourcesitelabelUniversityOfMichigan\"                               \n",
       "[175] \"tissuesourcesitelabelUniversityofMinnesota\"                              \n",
       "[176] \"tissuesourcesitelabelUniversityofNebraskaMedicalCenterUNMC\"              \n",
       "[177] \"tissuesourcesitelabelUniversityofNewMexico\"                              \n",
       "[178] \"tissuesourcesitelabelUniversityofNorthCarolina\"                          \n",
       "[179] \"tissuesourcesitelabelUniversityofOklahomaHSC\"                            \n",
       "[180] \"tissuesourcesitelabelUniversityofPennsylvania\"                           \n",
       "[181] \"tissuesourcesitelabelUniversityofPittsburgh\"                             \n",
       "[182] \"tissuesourcesitelabelUniversityofPuertoRico\"                             \n",
       "[183] \"tissuesourcesitelabelUniversityofSaoPaulo\"                               \n",
       "[184] \"tissuesourcesitelabelUniversityofSchleswigHolstein\"                      \n",
       "[185] \"tissuesourcesitelabelUniversityofSheffield\"                              \n",
       "[186] \"tissuesourcesitelabelUniversityofSouthernCalifornia\"                     \n",
       "[187] \"tissuesourcesitelabelUniversityofSydney\"                                 \n",
       "[188] \"tissuesourcesitelabelUniversityofTexasMDAndersonCancerCenter\"            \n",
       "[189] \"tissuesourcesitelabelUniversityofUlm\"                                    \n",
       "[190] \"tissuesourcesitelabelUniversityofUtah\"                                   \n",
       "[191] \"tissuesourcesitelabelUniversityofWashington\"                             \n",
       "[192] \"tissuesourcesitelabelValleyHospital\"                                     \n",
       "[193] \"tissuesourcesitelabelVanderbilt\"                                         \n",
       "[194] \"tissuesourcesitelabelVanderbiltUniversity\"                               \n",
       "[195] \"tissuesourcesitelabelWakeForestUniversity\"                               \n",
       "[196] \"tissuesourcesitelabelWalterReed\"                                         \n",
       "[197] \"tissuesourcesitelabelWashingtonUniversity\"                               \n",
       "[198] \"tissuesourcesitelabelWashingtonUniversityAlabama\"                        \n",
       "[199] \"tissuesourcesitelabelWashingtonUniversityCALGB\"                          \n",
       "[200] \"tissuesourcesitelabelWashingtonUniversityCHUV\"                           \n",
       "[201] \"tissuesourcesitelabelWashingtonUniversityClevelandClinic\"                \n",
       "[202] \"tissuesourcesitelabelWashingtonUniversityEmory\"                          \n",
       "[203] \"tissuesourcesitelabelWashingtonUniversityMayoClinic\"                     \n",
       "[204] \"tissuesourcesitelabelWashingtonUniversityNYU\"                            \n",
       "[205] \"tissuesourcesitelabelWashingtonUniversityRushUniversity\"                 \n",
       "[206] \"tissuesourcesitelabelWashingtonUniversityStLouis\"                        \n",
       "[207] \"tissuesourcesitelabelWashingtonUniversityStLouis\"                        \n",
       "[208] \"tissuesourcesitelabelWillsEyeInstitute\"                                  \n",
       "[209] \"tissuesourcesitelabelYale\"                                               \n",
       "[210] \"tissuesourcesitelabelYaleUniversity\"                                     \n",
       "[211] \"portionisffpeYES\"                                                        \n",
       "[1] \"Now normalizing data...\"\n",
       "[1] \"Now applying voom on normalized data...\"\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%R\n",
    "qcMetadata <- metadataSamplesAllQC # metadataSamplesAllQCAML\n",
    "qcData <- vbDataBarnDFReconciledQC # vbDataBarnDFReconciledQCAML\n",
    "\n",
    "# Set up design matrix\n",
    "covDesignNorm <- model.matrix(~0 + sample_type +\n",
    "                                  data_submitting_center_label +\n",
    "                                  platform +\n",
    "                                  experimental_strategy +\n",
    "                                  tissue_source_site_label +\n",
    "                                  portion_is_ffpe,\n",
    "                              data = qcMetadata)\n",
    "print(colnames(covDesignNorm))\n",
    "colnames(covDesignNorm) <- gsub('([[:punct:]])|\\\\s+','',colnames(covDesignNorm))\n",
    "print(colnames(covDesignNorm))\n",
    "\n",
    "# Set up counts matrix\n",
    "counts <- t(qcData) # DGEList object from a table of counts (rows=features, columns=samples)\n",
    "\n",
    "# Normalize using edgeR and then plug into voom\n",
    "dge <- DGEList(counts = counts)\n",
    "keep <- filterByExpr(dge, covDesignNorm)\n",
    "dge <- dge[keep,,keep.lib.sizes=FALSE]\n",
    "print(\"Now normalizing data...\")\n",
    "dge <- calcNormFactors(dge, method = \"TMM\")\n",
    "print(\"Now applying voom on normalized data...\")\n",
    "vdge <- voom(dge, design = covDesignNorm, plot = TRUE, save.plot = TRUE, normalize.method=\"none\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\n",
       "                            Solid Tissue Normal \n",
       "                                           1283 \n",
       "                       Additional - New Primary \n",
       "                                             10 \n",
       "                          Additional Metastatic \n",
       "                                              1 \n",
       "                           Blood Derived Normal \n",
       "                                           1866 \n",
       "                                     Metastatic \n",
       "                                            541 \n",
       "Primary Blood Derived Cancer - Peripheral Blood \n",
       "                                            258 \n",
       "                                  Primary Tumor \n",
       "                                          13898 \n",
       "                                Recurrent Tumor \n",
       "                                            118 \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%R\n",
    "\n",
    "print(table(metadataSamplesAllQCAML$sample_type))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[1] 17625   205\n",
       "[1] 17625     7\n",
       "[1] 17625     2\n",
       "[1] 17625  1795\n",
       "[1] 17625   211\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%R\n",
    "\n",
    "# Apply\n",
    "bio.var.sample.type <- model.matrix(~sample_type, #sample_type, # histological_diagnosis_label and disease_type tried but cause function to fail\n",
    "                        data=qcMetadata)\n",
    "bio.var.gender <- model.matrix(~gender, #sample_type, # histological_diagnosis_label and disease_type tried but cause function to fail\n",
    "                        data=qcMetadata)\n",
    "adj.var <- model.matrix(~data_submitting_center_label +\n",
    "                          platform +\n",
    "                          experimental_strategy +\n",
    "                          tissue_source_site_label +\n",
    "                          portion_is_ffpe,\n",
    "                        data=qcMetadata)\n",
    "colnames(bio.var.sample.type) <- gsub('([[:punct:]])|\\\\s+','',colnames(bio.var.sample.type))\n",
    "colnames(bio.var.gender) <- gsub('([[:punct:]])|\\\\s+','',colnames(bio.var.gender))\n",
    "colnames(adj.var) <- gsub('([[:punct:]])|\\\\s+','',colnames(adj.var))\n",
    "print(dim(adj.var))\n",
    "print(dim(bio.var.sample.type))\n",
    "print(dim(bio.var.gender))\n",
    "print(dim(t(vdge$E)))\n",
    "print(dim(covDesignNorm))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[1] 17625  1795\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%R\n",
    "snmDataObjSampleTypeWithExpStrategyFA <- snm(raw.dat = vdge$E, \n",
    "                                            bio.var = bio.var.sample.type, \n",
    "                                            adj.var = adj.var, \n",
    "                                            rm.adj=TRUE,\n",
    "                                            verbose = TRUE,\n",
    "                                            diagnose = TRUE)\n",
    "snmDataSampleTypeWithExpStrategyFA <- t(snmDataObjSampleTypeWithExpStrategyFA$norm.dat)\n",
    "\n",
    "print(dim(snmDataSampleTypeWithExpStrategyFA))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "%%R\n",
    "save(snmDataSampleTypeWithExpStrategyFA, file = \"snmDataSampleTypeWithExpStrategyFA.RData\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# PCA plotting to visually examine batch effects and batch correction"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "%%R\n",
    "pcaPlotting <- function(pcaObject,pcChoices, dataLabels, factorString, titleString){\n",
    "  require(ggbiplot)\n",
    "  theme_update(plot.title = element_text(hjust = 0.5))\n",
    "  g <- ggbiplot(pcaObject,pcChoices, obs.scale = 1, var.scale = 1,\n",
    "                groups = dataLabels, ellipse = TRUE,\n",
    "                alpha = 0.2,\n",
    "                circle = TRUE,var.axes=FALSE) + \n",
    "    scale_color_nejm(name = factorString) +\n",
    "    theme_bw() + \n",
    "    #theme(legend.direction = \"horizontal\", legend.position = \"top\") +\n",
    "    ggtitle(titleString) + theme(plot.title = element_text(hjust = 0.5))\n",
    "  \n",
    "  print(g)\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%R\n",
    "unnormalizedPCAPlotFA <- pcaPlotting(pcaObject = prcomp(t(vdge$E)),\n",
    "                                   pcChoices = c(1,2),\n",
    "                                   dataLabels = qcMetadata$data_submitting_center_label,\n",
    "                                   factorString = \"Batch\",\n",
    "                                   titleString = \"PCA w/o Batch Correction\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%R \n",
    "snmPCAPlotSampleTypeFA <- pcaPlotting(pcaObject = prcomp(snmDataSampleTypeWithExpStrategyFA),\n",
    "                          pcChoices = c(1,2),\n",
    "                          dataLabels = qcMetadata$data_submitting_center_label,\n",
    "                          factorString = \"Sequencing Center\",\n",
    "                          titleString = \"PCA w/ SNM Correction\\n(Target: Sample Type)\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# %%R \n",
    "# snmPCAPlotGender <- pcaPlotting(pcaObject = prcomp(snmDataGenderWithAML),\n",
    "#                           pcChoices = c(1,2),\n",
    "#                           dataLabels = qcMetadata$data_submitting_center_label,\n",
    "#                           factorString = \"Sequencing Center\",\n",
    "#                           titleString = \"PCA w/ SNM Correction\\n(Target: Gender)\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "%%R\n",
    "ggsave(plot = unnormalizedPCAPlotFA, \n",
    "       filename = \"unnormalizedPCAPlotFA_DecreasedOpacity_NEJM.png\",\n",
    "       width = 16.2,\n",
    "       height = 5.29,\n",
    "       units = \"in\",\n",
    "       dpi = \"retina\")\n",
    "\n",
    "ggsave(plot = snmPCAPlotSampleTypeFA, \n",
    "       filename = \"snmPCAPlotSampleTypeFA_DecreasedOpacity_NEJM.png\",\n",
    "       width = 16.2,\n",
    "       height = 5.29,\n",
    "       units = \"in\",\n",
    "       dpi = \"retina\")\n",
    "\n",
    "# save(snmDataGenderWithAML, metadataSamplesAllQCAML, \n",
    "#      vbDataBarnDFReconciledQCAML, \n",
    "#      file = \"amlVbDataAndMetadataAndSNMByGender.RData\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[1] 17975  1802\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# %%R\n",
    "# snmDataObjGenderWithAML <- snm(raw.dat = vdge$E, \n",
    "#                                 bio.var = bio.var.gender, \n",
    "#                                 adj.var = adj.var, \n",
    "#                                 rm.adj=TRUE,\n",
    "#                                 verbose = TRUE,\n",
    "#                                 diagnose = TRUE)\n",
    "# snmDataGenderWithAML <- t(snmDataObjGenderWithAML$norm.dat)\n",
    "\n",
    "# print(dim(snmDataGenderWithAML))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# PVCA using key filtered metadata features (i.e. narrowing down the extended version of this)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[1] 17625     7\n",
       "[1] 17625  1795\n",
       "[1] 17625  1993\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%R\n",
    "# Implement PVCA\n",
    "# From extended model, remove variables that contribute very little if at all:\n",
    "# ethnicity, gender, reference_genome\n",
    "pct_threshold <- 0.8\n",
    "metaPVCAExtendedFiltered <- metadataSamplesAllQC[,c(\"sample_type\",\n",
    "                                            \"disease_type\",\n",
    "                                            \"data_submitting_center_label\",\n",
    "                                            \"platform\",\n",
    "                                            \"experimental_strategy\", \n",
    "                                            \"tissue_source_site_label\",\n",
    "                                            \"portion_is_ffpe\")]\n",
    "print(dim(metaPVCAExtendedFiltered))\n",
    "print(dim(snmDataSampleTypeWithExpStrategy))\n",
    "print(dim(vbDataBarnDFReconciledQC))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%R\n",
    "pvcaVbRawNoVoomNoSNM_ExtendedFiltered_FA <- PVCA(counts = t(vbDataBarnDFReconciledQC), \n",
    "                                               meta = metaPVCAExtendedFiltered, \n",
    "                                               threshold = pct_threshold,\n",
    "                                               inter = FALSE)\n",
    "save(pvcaVbRawNoVoomNoSNM_ExtendedFiltered_FA, file = \"pvcaVbRawNoVoomNoSNM_ExtendedFiltered_FA.RData\")\n",
    "PlotPVCA(pvcaVbRawNoVoomNoSNM_ExtendedFiltered_FA, \"Raw count data\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%R\n",
    "pvcaVoomNoSNM_ExtendedFiltered_FA <- PVCA(counts = vdge$E,\n",
    "                                           meta = metaPVCAExtendedFiltered,\n",
    "                                           threshold = pct_threshold,\n",
    "                                           inter = FALSE)\n",
    "save(pvcaVoomNoSNM_ExtendedFiltered_FA, file = \"pvcaVoomNoSNM_ExtendedFiltered_FA.RData\")\n",
    "PlotPVCA(pvcaVoomNoSNM_ExtendedFiltered_FA, \"Voom Normalized\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%R\n",
    "pvcaSampleWithExpStrategySNM_ExtendedFiltered_FA <- PVCA(counts = t(snmDataSampleTypeWithExpStrategyFA), \n",
    "                                                       meta = metaPVCAExtendedFiltered,\n",
    "                                                       threshold = pct_threshold,\n",
    "                                                       inter = FALSE)\n",
    "save(pvcaSampleWithExpStrategySNM_ExtendedFiltered_FA, \n",
    "     file = \"pvcnoaSampleWithExpStrategySNM_ExtendedFiltered_FA.RData\")\n",
    "PlotPVCA(pvcaSampleWithExpStrategySNM_ExtendedFiltered_FA, \n",
    "         \"Voom Normalized & SNM Corrected Plus Exp Strategy (Target is Sample Type)\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[1] 3\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%R\n",
    "1+2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Examining sample and taxa ratio changes due to batch correction"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 99,
   "metadata": {},
   "outputs": [],
   "source": [
    "%%R\n",
    "require(ggplot2)\n",
    "require(matrixStats)\n",
    "divSNMDataSampleType <- snmDataSampleType / t(snmDataObjSampleType$raw.dat)\n",
    "taxaMedians <- data.frame(Medians = colMedians(divSNMDataSampleType), \n",
    "                          Taxa = colnames(divSNMDataSampleType),\n",
    "                          pval = factor(ifelse(snmDataObjSampleType$pval <=0.05, \n",
    "                                               yes = \"P-value <= 0.05\", no = \"P-value > 0.05\")))\n",
    "sampleMedians <- data.frame(Medians = rowMedians(divSNMDataSampleType), \n",
    "                            Samples = rownames(divSNMDataSampleType),\n",
    "                            SeqCenter = metadataSamplesAllQC$data_submitting_center_label,\n",
    "                            SampleType = metadataSamplesAllQC$sample_type,\n",
    "                            CancerType = metadataSamplesAllQC$disease_type)\n",
    "gt <- ggplot(taxaMedians, aes(x = reorder(Taxa, -Medians), y = Medians, fill = pval)) + \n",
    "geom_bar(stat = \"identity\") +\n",
    "theme(axis.title.x=element_blank(), axis.text.x=element_blank(), axis.ticks.x=element_blank()) +\n",
    "labs(y = \"Median of Normalizing Ratios Per Taxa\", x = \"Samples\", fill = \"ANOVA Result Per Taxa\") \n",
    "\n",
    "gs <- ggplot(sampleMedians, aes(x = reorder(Samples, -Medians), y = Medians, fill = CancerType)) + \n",
    "  geom_bar(stat = \"identity\") + coord_flip() +\n",
    "  theme(axis.text.y=element_blank(), axis.ticks.y=element_blank()) +\n",
    "  scale_y_log10() + labs(y = \"Median of Normalizing Ratios Per Sample\", x = \"Samples\", fill='Cancer Type') "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 100,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%R\n",
    "gt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 101,
   "metadata": {},
   "outputs": [],
   "source": [
    "%%R\n",
    "ggsave(plot = gt, \n",
    "       filename = \"snmNormMedianPerTaxaPval.png\",\n",
    "       width = 8.5,\n",
    "       height = 6,\n",
    "       units = \"in\",\n",
    "       dpi = \"retina\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "%%R\n",
    "require(pheatmap)\n",
    "pheatmap(snmDataSampleTypeLMFit$coefficients,\n",
    "         clustering_distance_rows = \"correlation\",\n",
    "         clustering_distance_cols = \"correlation\",\n",
    "         show_rownames = FALSE,\n",
    "         show_colnames = FALSE,\n",
    "         filename = \"snmLMFitCoefCorr.png\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# %%R\n",
    "# save(snmDataObjPathStage, snmDataPathStage, metadataSamplesAllQCPath, file = \"snmResultsPathBinned.RData\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "tcgaAnalysisPythonR",
   "language": "python",
   "name": "tcgaanalysispythonr"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}