Pathway and Gene Set Analysis Part 1 - biostat.washington.edu · Alison Motsinger-Reif, PhD Bioinformatics Research Center Department of Statistics North Carolina State University

Alison Motsinger-Reif, PhDBioinformatics Research Center

Department of StatisticsNorth Carolina State University

[email protected]

Pathway and Gene Set AnalysisPart 1

Theearlystepsofamicroarraystudy

• ScientificQuestion(biological)• Studydesign(biological/statistical)• ConductingExperiment(biological)• Preprocessing/NormalizingData(statistical)• Findingdifferentiallyexpressedgenes(statistical)

Adataexample

• Leeetal(2005)comparedadiposetissue(abdominalsubcutaenousadipocytes)betweenobeseandleanPimaIndians

• SampleswerehybridisedonHGu95e-Affymetrixarrays(12639genes/probesets)

• AvailableasGDS1498ontheGEOdatabase• Weselectedthemalesamplesonly

– 10obesevs9lean

The“Result”Probe Set ID log.ratio pvalue adj.p73554_at 1.4971 0.0000 0.000491279_at 0.8667 0.0000 0.001774099_at 1.0787 0.0000 0.010483118_at -1.2142 0.0000 0.013981647_at 1.0362 0.0000 0.013984412_at 1.3124 0.0000 0.022290585_at 1.9859 0.0000 0.025884618_at -1.6713 0.0000 0.025891790_at 1.7293 0.0000 0.035080755_at 1.5238 0.0000 0.035185539_at 0.9303 0.0000 0.035190749_at 1.7093 0.0000 0.035174038_at -1.6451 0.0000 0.035179299_at 1.7156 0.0000 0.035172962_at 2.1059 0.0000 0.035188719_at -3.1829 0.0000 0.035172943_at -2.0520 0.0000 0.035191797_at 1.4676 0.0000 0.035178356_at 2.1140 0.0001 0.035990268_at 1.6552 0.0001 0.0421

WhathappenedtotheBiology???

SlightlymoreinformativeresultsProbe Set ID Gene SymbolGene Title go biological process termgo molecular function term log.ratio pvalue adj.p73554_at CCDC80 coiled-coil domain containing 80--- --- 1.4971 0.0000 0.000491279_at C1QTNF5 /// MFRPC1q and tumor necrosis factor related protein 5 /// membrane frizzled-related proteinvisual perception /// embryonic development /// response to stimulus--- 0.8667 0.0000 0.001774099_at --- --- --- --- 1.0787 0.0000 0.010483118_at RNF125 ring finger protein 125 immune response /// modification-dependent protein catabolic processprotein binding /// zinc ion binding /// ligase activity /// metal ion binding-1.2142 0.0000 0.013981647_at --- --- --- --- 1.0362 0.0000 0.013984412_at SYNPO2 synaptopodin 2 --- actin binding /// protein binding1.3124 0.0000 0.022290585_at C15orf59 chromosome 15 open reading frame 59--- --- 1.9859 0.0000 0.025884618_at C12orf39 chromosome 12 open reading frame 39--- --- -1.6713 0.0000 0.025891790_at MYEOV myeloma overexpressed (in a subset of t(11;14) positive multiple myelomas)--- --- 1.7293 0.0000 0.035080755_at MYOF myoferlin muscle contraction /// blood circulationprotein binding 1.5238 0.0000 0.035185539_at PLEKHH1 pleckstrin homology domain containing, family H (with MyTH4 domain) member 1--- binding 0.9303 0.0000 0.035190749_at SERPINB9 serpin peptidase inhibitor, clade B (ovalbumin), member 9anti-apoptosis /// signal transductionendopeptidase inhibitor activity /// serine-type endopeptidase inhibitor activity /// serine-type endopeptidase inhibitor activity /// protein binding1.7093 0.0000 0.035174038_at --- --- --- --- -1.6451 0.0000 0.035179299_at --- --- --- --- 1.7156 0.0000 0.035172962_at BCAT1 branched chain aminotransferase 1, cytosolicG1/S transition of mitotic cell cycle /// metabolic process /// cell proliferation /// amino acid biosynthetic process /// branched chain family amino acid metabolic process /// branched chain family amino acid biosynthetic process /// branched chain family amino acid biosynthetic processcatalytic activity /// branched-chain-amino-acid transaminase activity /// branched-chain-amino-acid transaminase activity /// transaminase activity /// transferase activity /// identical protein binding2.1059 0.0000 0.035188719_at C12orf39 chromosome 12 open reading frame 39--- --- -3.1829 0.0000 0.035172943_at --- --- --- --- -2.0520 0.0000 0.035191797_at LRRC16A leucine rich repeat containing 16A--- --- 1.4676 0.0000 0.035178356_at TRDN triadin muscle contraction receptor binding 2.1140 0.0001 0.035990268_at C5orf23 chromosome 5 open reading frame 23--- --- 1.6552 0.0001 0.0421

Ifwearelucky,someofthetopgenesmeansomething tous

Butwhatiftheydon’t?

Andhowwhataretheresultsforothergeneswithsimilarbiologicalfunctions

Howtoincorporatebiologicalknowledge

• Thetypeofknowledgewedealwithisrathersimple:

Weknowgroups/setsofgenesthatforexample– Belongtothesamepathway– Haveasimilarfunction– Arelocatedonthesamechromosome,etc…

• Wewillassumethesegroupingstobegiven,i.e.wewillnotyetdiscussmethodsusedtodetectpathways,networks,geneclusters• Wewilllater!

Whatisapathway?

• Nocleardefinition– Wikipedia:“In biochemistry,metabolicpathways are

seriesofchemicalreactionsoccurringwithinacell.Ineachpathway,aprincipalchemicalismodifiedbychemicalreactions.”

– Thesepathwaysdescribeenzymesandmetabolites

• Butoftentheword“pathway”isalsousedtodescribegeneregulatorynetworksorproteininteractionnetworks

• Inallcasesapathwaydescribesabiologicalfunctionveryspecifically

WhatisaGeneSet?• Justwhatitsays:asetofgenes!

– AllgenesinvolvedinapathwayareanexampleofaGeneSet

– AllgenescorrespondingtoaGeneOntologytermareaGeneSet

– AllgenesmentionedinapaperofSmithetalmightformaGeneSet

• AGeneSetisamuchmoregeneralandlessspecificconceptthanapathway

• Still:wewillsometimesusetwowordsinterchangeably,astheanalysismethodsaremainlythesame

WhereDoGeneSets/ListsComeFrom?

• Molecularprofilinge.g.mRNA,protein– Identificationà Genelist– Quantificationà Genelist+values– Ranking,Clustering(biostatistics)

• Interactions:Proteininteractions,Transcriptionfactorbindingsites(ChIP)

• Geneticscreene.g.ofknockoutlibrary• Associationstudies(Genome-wide)

– Singlenucleotidepolymorphisms(SNPs)– Copynumbervariants(CNVs)

– ……..

WhatisGeneSet/Pathwayanalysis?

• Theaimistogiveonenumber(score,p-value)toaGeneSet/Pathway– Aremanygenesinthepathwaydifferentiallyexpressed(up-regulated/downregulated)

– Canwegiveanumber(p-value)totheprobabilityofobservingthesechangesjustbychance?

Goals• Pathwayandgenesetdataresources

• Geneattributes• Databaseresources

• GO,KeGG,Wikipathways,MsigDB• Geneidentifiersandissueswithmapping

• Differencesbetweenpathwayanalysistools• Selfcontainedvs.competitivetests• Cut-offmethodsvs.globalmethods• Issueswithmultipletesting





GeneAttributes• Functionalannotation

– Biologicalprocess,molecularfunction,celllocation

• Chromosomeposition• Diseaseassociation• DNAproperties

– TFbindingsites,genestructure(intron/exon),SNPs

• Transcriptproperties– Splicing,3’UTR,microRNA bindingsites

• Proteinproperties– Domains,secondaryandtertiarystructure,PTMsites

• Interactionswithothergenes


– Biologicalprocess,molecularfunction,celllocation

• Chromosomeposition• Diseaseassociation• DNAproperties

– TFbindingsites,genestructure(intron/exon),SNPs

• Transcriptproperties– Splicing,3’UTR,microRNA bindingsites

• Proteinproperties– Domains,secondaryandtertiarystructure,PTMsites

• Interactionswithothergenes

DatabaseResources• Usefunctionalannotationtoaggregategenesintopathways/genesets

• Anumberofdatabasesareavailable– Differentanalysistoolslinktodifferentdatabases– Toomanydatabasestogointodetailoneveryone– Commonlyusedresources:

• GO• KeGG• MsigDB• WikiPathways

PathwayandGeneSetdataresources

• TheGeneOntology(GO)database– http://www.geneontology.org/– GOoffersarelational/hierarchicaldatabase– Parentnodes:moregeneralterms– Childnodes:morespecificterms– Attheendofthehierarchytherearegenes/proteins– Atthetopthereare3parentnodes:biologicalprocess,molecularfunctionandcellularcomponent

• Example:wesearchthedatabasefortheterm“inflammation”

Thegenesonourarraythatcodeforoneofthe44geneproductswouldformthecorresponding “inflammation”geneset

WhatistheGeneOntology(GO)?

• Setofbiologicalphrases(terms)whichareappliedtogenes:– proteinkinase– apoptosis– membrane

• Ontology:Aformalsystemfordescribingknowledge

GOStructure• Termsarerelatedwithinahierarchy– is-a– part-of

• Describesmultiplelevelsofdetailofgenefunction

• Termscanhavemorethanoneparentorchild

GOStructurecell

membrane chloroplast

mitochondrial chloroplastmembrane membrane

is-apart-of

Speciesindependent.Somelower-leveltermsarespecifictoagroup, buthigher leveltermsarenot

WhatGOCovers?

• GOtermsdividedintothreeaspects:– cellularcomponent– molecularfunction– biologicalprocess

glucose-6-phosphate isomeraseactivity

Celldivision

Terms• WheredoGOtermscomefrom?

– GOtermsareaddedbyeditorsatEBIandgeneannotationdatabasegroups

– Termsaddedbyrequest– Expertshelpwithmajordevelopment– 27734terms,98.9%withdefinitions.

• 16731biological_process• 2385cellular_component• 8618molecular_function

• Genesarelinked,orassociated,withGOtermsbytrainedcuratorsatgenomedatabases– Knownas‘geneassociations’orGOannotations– Multipleannotationspergene

• SomeGOannotationscreatedautomatically

Annotations

AnnotationSources• Manualannotation

– Createdbyscientificcurators• Highquality• Smallnumber(time-consumingtocreate)

• Electronicannotation– Annotationderivedwithouthumanvalidation

• Computationalpredictions(accuracyvaries)• Lower‘quality’thanmanualcodes

• Keypoint:beawareofannotationorigin

EvidenceTypes• ISS: Inferred from Sequence/Structural Similarity• IDA: Inferred from Direct Assay• IPI: Inferred from Physical Interaction• IMP: Inferred from Mutant Phenotype• IGI: Inferred from Genetic Interaction• IEP: Inferred from Expression Pattern• TAS: Traceable Author Statement• NAS: Non-traceable Author Statement• IC: Inferred by Curator• ND: No Data available

• IEA: Inferred from electronic annotation

SpeciesCoverage

• Allmajoreukaryoticmodelorganismspecies

• HumanviaGOAgroupatUniProt

• SeveralbacterialandparasitespeciesthroughTIGRandGeneDB atSanger

• Newspeciesannotationsindevelopment

VariableCoverage

LomaxJ.GetreadytoGO!Abiologist's guidetotheGeneOntology.BriefBioinform.2005Sep;6(3):298-304.

ContributingDatabases– BerkeleyDrosophila GenomeProject(BDGP)– dictyBase (Dictyostelium discoideum)– FlyBase (Drosophilamelanogaster)– GeneDB (Schizosaccharomyces pombe,Plasmodiumfalciparum, Leishmania

major andTrypanosoma brucei)– UniProtKnowledgebase (Swiss-Prot/TrEMBL/PIR-PSD)andInterPro databases– Gramene (grains, including rice,Oryza)– MouseGenomeDatabase(MGD)andGeneExpressionDatabase(GXD) (Mus

musculus)– RatGenomeDatabase(RGD) (Rattus norvegicus)– Reactome– Saccharomyces GenomeDatabase(SGD) (Saccharomyces cerevisiae)– TheArabidopsis InformationResource(TAIR) (Arabidopsis thaliana)– TheInstituteforGenomicResearch(TIGR):databasesonseveralbacterial

species– WormBase (Caenorhabditis elegans)– ZebrafishInformationNetwork(ZFIN):(Danio rerio)

GOSlimSets• GOhastoomanytermsforsomeuses– Summaries(e.g.Piecharts)

• GOSlimisanofficialreducedsetofGOterms– Generic,plant,yeast

GOSoftwareTools

• GOresourcesarefreelyavailabletoanyonewithoutrestriction– Includestheontologies,geneassociationsandtoolsdevelopedbyGO

• OthergroupshaveusedGOtocreatetoolsformanypurposes– http://www.geneontology.org/GO.tools

AccessingGO:QuickGO

http://www.ebi.ac.uk/ego/

OtherOntologies

http://www.ebi.ac.uk/ontology-lookup

KEGGpathwaydatabase

• KEGG=KyotoEncyclopediaofGenesandGenomes– http://www.genome.jp/kegg/pathway.html– ThepathwaydatabasegivesfarmoredetailedinformationthanGO• Relationshipsbetweengenesandgeneproducts

– But:thisdetailedinformationisonlyavailableforselectedorganismsandprocesses

– Example:Adipocytokinesignalingpathway

KEGGpathwaydatabase

• Clickingonthenodesinthepathwayleadstomoreinformationongenes/proteins– Otherpathwaysthenodeisinvolvedwith– EntriesinGene/Proteindatabases– References– Sequenceinformation

• UltimatelythisallowstofindcorrespondinggenesonthemicroarrayanddefineaGeneSetforthepathway

Wikipathways

• http://www.wikipathways.org

• Awikipedia forpathways– Onecanseeanddownloadpathways– Butalsoeditandcontributepathways

• TheprojectislinkedtotheGenMAPP andPathvisio analysis/visualisationtools

MSigDB• MSigDB =MolecularSignatureDatabasehttp://www.broadinstitute.org/gsea/msigdb

• RelatedtothetheanalysisprogramGSEA• MSigDB offersgenesetsbasedonvariousgroupings– Pathways– GOterms– Chromosomalposition,…

SomeWarnings• Inmanycasesthedefinitionofapathway/genesetina

databasemightdifferfromthatofascientist

• Thenodesinpathwaysareoftenproteinsormetabolites;theactivityofthecorrespondinggenesetisnotnecessarilyagoodmeasurementoftheactivityofthepathway

• Therearemanymoreresourcesoutthere(BioCarta,BioPax)

• Commercialpackagesoftenusetheirownpathway/genesetdefinitions(Ingenuity,Metacore,Genomatix,…)

• GenesinagenesetareusuallynotgivenbyaProbeSetID,butrefertosomegenedatabase(Entrez IDs,Unigene IDs)

• Conversioncanleadtoerrors!

SomeWarnings• Inmanycasesthedefinitionofapathway/genesetina

databasemightdifferfromthatofascientist

• Thenodesinpathwaysareoftenproteinsormetabolites;theactivityofthecorrespondinggenesetisnotnecessarilyagoodmeasurementoftheactivityofthepathway

• Therearemanymoreresourcesoutthere(BioCarta,BioPax)

• Commercialpackagesoftenusetheirownpathway/genesetdefinitions(Ingenuity,Metacore,Genomatix,…)

• GenesinagenesetareusuallynotgivenbyaProbeSetID,butrefertosomegenedatabase(Entrez IDs,Unigene IDs)

• Conversioncanleadtoerrors!


– Biologicalprocess,molecularfunction,celllocation• Chromosomeposition• Diseaseassociation• DNAproperties

– TFbindingsites,genestructure(intron/exon),SNPs• Transcriptproperties

– Splicing,3’UTR,microRNA bindingsites• Proteinproperties

– Domains,secondaryandtertiarystructure,PTMsites• Interactionswithothergenes

SourcesofGeneAttributes

• Ensembl BioMart (eukaryotes)– http://www.ensembl.org

• Entrez Gene(general)– http://www.ncbi.nlm.nih.gov/sites/entrez?db=gene

• Modelorganismdatabases– E.g.SGD:http://www.yeastgenome.org/

• Manyothers…..

EnsemblBioMart• Convenientaccesstogenelistannotation

Selectgenome

Selectfilters

Selectattributestodownload

GeneandProteinIdentifiers• Identifiers(IDs)areideallyunique,stablenamesornumbersthathelptrackdatabaserecords– E.g.SocialInsuranceNumber,EntrezGeneID41232

• Geneandproteininformationstoredinmanydatabases– à GeneshavemanyIDs

• Recordsfor:Gene,DNA,RNA,Protein– Importanttorecognizethecorrectrecordtype– E.g.Entrez Generecordsdon’tstoresequence.TheylinktoDNAregions,RNAtranscriptsandproteins.

NCBIDatabaseLinks

http://www.ncbi.nlm.nih.gov/Database/datamodel/data_nodes.swf

NCBI:U.S.NationalCenterforBiotechnologyInformation

PartofNationalLibraryofMedicine(NLM)

CommonIdentifiersSpecies-specificHUGOHGNCBRCA2MGIMGI:109337RGD2219ZFINZDB-GENE-060510-3FlyBase CG9097WormBase WBGene00002299orZK1067.1SGDS000002187orYDL029WAnnotationsInterPro IPR015252OMIM600185Pfam PF09104GeneOntologyGO:0000724SNPs rs28897757ExperimentalPlatformAffymetrix 208368_3p_s_atAgilentA_23_P99452CodeLink GE60169Illumina GI_4502450-S

GeneEnsembl ENSG00000139618EntrezGene675UnigeneHs.34012

RNAtranscriptGenBankBC026160.1RefSeq NM_000059Ensembl ENST00000380152

ProteinEnsembl ENSP00000369497RefSeq NP_000050.2UniProt BRCA2_HUMANorA1YBP1_HUMANIPIIPI00412408.1EMBLAF309413PDB1MIU

Red=Recommended

IdentifierMapping

• SomanyIDs!– Mapping(conversion)isaheadache

• Fourmainuses– Searchingforafavoritegenename– Linktorelatedresources– Identifiertranslation

• E.g.Genestoproteins,Entrez GenetoAffy– Unificationduringdatasetmerging

• Equivalentrecords

IDMappingServices

• Synergizer– http://llama.med.harvard.edu/syner

gizer/translate/

• EnsemblBioMart– http://www.ensembl.org

• UniProt– http://www.uniprot.org/

IDMappingChallenges• Avoiderrors:mapIDscorrectly• Genenameambiguity– notagoodID

– e.g.FLJ92943,LFS1,TRP53,p53– Bettertousethestandardgenesymbol:TP53

• Excelerror-introduction– OCT4ischangedtoOctober-4

• Problemsreaching100%coverage– E.g.duetoversionissues– Usemultiplesourcestoincreasecoverage

ZeebergBRetal.Mistakenidentifiers: genenameerrorscanbeintroducedinadvertentlywhenusingExcelinbioinformatics BMCBioinformatics.2004Jun 23;5:80









AimsofAnalysis

• Reminder:Theaimistogiveonenumber(score,p-value)toaGeneSet/Pathway– Aremanygenesinthepathwaydifferentiallyexpressed(up-regulated/downregulated)?

– Canwegiveanumber(p-value)totheprobabilityofobservingthesechangesjustbychance?

– Similartosinglegeneanalysisstatisticalhypothesistestingplaysanimportantrole

Generaldifferencesbetweenanalysistools

• Selfcontainedvs competitivetest– Thedistinctionbetween“self-contained”and“competitive”methodsgoesbacktoGoeman andBuehlman (2007)

– Aself-containedmethodonlyusesthevaluesforthegenesofageneset

• Thenullhypothesishereis:H={“NogenesintheGeneSetaredifferentiallyexpressed”}

– Acompetitivemethodcomparesthegeneswithinthegenesetwiththeothergenesonthearrays

• HerewetestagainstH:{“ThegenesintheGeneSetarenotmoredifferentiallyexpressedthanothergenes”}

Example:AnalysisfortheGO-Term“inflammatoryresponse”(GO:0006954)

BacktotheRealDataExample

• UsingBioconductor softwarewecanfind96probesetsonthearraycorrespondingtothisterm

• 8outofthesehaveap-value<5%

• Howmanysignificantgeneswouldweexpectbychance?

• Dependsonhowwedefine“bychance”

The“self-contained”version

• Bychance(i.e.ifitisNOTdifferentiallyexpressed)ageneshouldbesignificantwithaprobabilityof5%

• Wewouldexpect96x 5%=4.8significantgenes

• Usingthebinomialdistributionwecancalculatetheprobabilityofobserving8ormoresignificantgenesasp=0.108,i.e.notquitesignificant

The“competitive”version• Overall1272outof12639

genesaresignificantinthisdataset(10.1%)

• Ifwerandomlypick96geneswewouldexpect96x 10.1%=9.7genestobesignificant“bychance”

• Ap-valuecanbecalculatedbasedonthe 2x2table

• Testsforassociation:Chi-Square-TestorFisher’sexacttest

In GS Not in GSsig 8 1264

non-sig 88 11 279

P-valuefromFisher’sexacttest(one-sided):0.733,i.e veryfarfrombeingsignificant

CompetitiveTests• Competitiveresultsdependhighlyonhowmanygenesareon

thearrayandpreviousfiltering– Onasmalltargetedarraywhereallgenesarechanged,acompetitive

methodmightdetectnodifferentialGeneSetsatall

• Competitivetestscanalsobeusedwithsmallsamplesizes,evenforn=1– BUT:Theresultgivesnoindicationofwhetheritholdsforawider

populationofsubjects,thep-valueconcernsapopulationofgenes!

• Competitiveteststypicallygivelesssignificantresultsthanself-contained(asseenwiththeexample)

• Fisher’sexacttest(competitive)isprobablythemostwidelyusedmethod!

Cut-offmethodsvs wholegenelistmethods

• Aproblemwithbothtestsdiscussedsofaris,thattheyrelyonanarbitrarycut-off

• Ifwecallagenesignificantfor10%alphathresholdtheresultswillchange– Inourexamplethebinomialtestyieldsp=0.022,i.e.forthiscut-offtheresultissignificant!

• Wealsoloseinformationbyreducingap-valuetoabinary(“significant”,“non-significant”)variable– Itshouldmakeadifference,whetherthenon-significantgenesinthesetarenearlysignificantorcompletelyunsignificant

P-value histogram for inflammation genes

pvalue[incl]

Frequency

0.0 0.2 0.4 0.6 0.8 1.0

05

1015

• Wecanstudythedistributionofthep-valuesinthegeneset

• Ifnogenesaredifferentiallyexpressedthisshouldbeauniformdistribution

• Apeakontheleftindicates,thatsomegenesaredifferentiallyexpressed

• WecantestthisforexamplebyusingtheKolmogorov-Smirnov-Test

• Herep=0.082,i.e.notquitesignificant

•Thiswouldbea“self-contained”test,asonlythegenesinthegenesetarebeingused

Kolmogorov-SmirnovTest

• TheKS-testcomparesanobservedwithanexpectedcumulativedistribution

• TheKS-statisticisgivenbythemaximumdeviationbetweenthetwo

0.0 0.2 0.4 0.6 0.8 1.0

0.0

0.2

0.4

0.6

0.8

1.0

Observed and Expected culmulative distribution

x

Fn(x)

Histogram of the ranks of p-values for inflammation genes

p.rank[incl]

Frequency

0 2000 4000 6000 8000 10000 12000 14000

05

1015

• AlternativelywecouldlookatthedistributionoftheRANKSofthep-valuesinourgeneset

• Thiswouldbeacompetitivemethod,i.e wecompareourgenesetwiththeothergenes

• AgainonecanusetheKolmogorov-Smirnovtesttotestforuniformity

• Here:p=0.851,i.e.veryfarfromsignificance

Othergeneralissues• Directionofchange

– Inourexamplewedidn’tdifferentiatebetweenupordown-regulatedgenes

– Thatcanbeachievedbyrepeatingtheanalysisforp-valuesfromone-sidedtest

• Eg.wecouldfindGO-Termsthataresignificantlyup-regulated– Withmostsoftwarebothapproachesarepossible

• MultipleTesting– AswearetestingmanyGeneSets,weexpectsomesignificantfindings

“bychance”(falsepositives)– Controllingthefalsediscoveryrateistricky:Thegenesetsdooverlap,

sotheywillnotbeindependent!• EvenmoretrickyinGOanalysiswherecertainGOtermsaresubsetofothers

– TheBonferroni-Methodismostconservative,butalwaysworks!

• Resampling strategies(dependencebetweengenes)– Themethodsweusedsofarinourexampleassumethatgenesareindependentofeachother…ifthisisviolatedthep-valuesareincorrect

– Resampling ofgroup/phenotypelabelscancorrectforthis

– Wegiveanexampleforourdataset

Multiple TestingforPathways

ExampleResampling Approach1. Calculatetheteststatistic,e.g.thepercentageofsignificant

genesintheGeneSet

2. Randomlyre-shufflethegrouplabels(lean,obese)betweenthesamples

3. Repeattheanalysisforthere-shuffleddatasetandcalculateare-shuffledversionoftheteststatistic

4. Repeat2and3manytimes(thousands…)

5. Weobtainadistributionofre-shuffled%ofsignificantgenes:thepercentageofre-shuffledvaluesthatarelargerthantheoneobservedin1isourp-value

• Thereshufflingtakesgenetogenecorrelationsintoaccount

• Manyprogramsalsooffertoresamplethegenes:ThisdoesNOTtakecorrelationsintoaccount

• Roughlyspeaking:– Resampling phenotypes:correspondstoself-containedtest

– Resampling genes:correspondstocompetitivetest

Resampling Approach

• Genesbeingpresentmorethanonce– Commonapproaches

• Combineduplicates(average,median,maximum,…)• Ignore(i.e treatduplicateslikedifferentgenes)

• Usingsummarystatisticsvs usingalldata– Ourexamplesusedp-valuesasdatasummaries– Otherapproachesusefold-changes,signaltonoiseratios,etc…

– Somemethodsarebasedontheoriginaldataforthegenesinthegenesetratherthanonasummarystatistic

Resampling Approaches

Resampling Approaches

• Theresamplingapproachesarehighlycomputationallyintensive

• Newmethodsarebeingdevelopedtospeedthisup– Empiricalapproximationsofpermutations– Empiricalpathwayanalysis,withoutpermutation.

• ZhouYH,BarryWT,WrightFA.Biostatistics.2013Jul;14(3):573-85.doi:10.1093/biostatistics/kxt004.Epub 2013Feb20.

Summary

• Databases• Choicemakesadifference• NotallusethesameIDs– watchoutJ• Majordifferencesbetweenmethods• Issueswithmultipletesting

• Nextlecture,willgointomoredetailonafewmethods

Questions?

Documents

Pathway and Gene Set Analysis Part 1 - biostat.washington.edu · Alison Motsinger-Reif, PhD Bioinformatics Research Center Department of Statistics North Carolina State University