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DataAnalysisinSystematicReviews-MetaAnalysis
Centralquestionsofinterest
Aretheresultsofthe
studiesfairlysimilar
(consistent)?
Yes
Whatisthecommon,
summaryeffect?
Howpreciseisthe
common,summary
effect?
No
Whatfactorscan
explainthe
dissimilarities
(heterogeneity)inthe
studyresults?
Stepsindataanalysis&presentation
1.Tabulatesummarydata
2.Graphdata
3.Checkforheterogeneity
4.Performameta-analysisifheterogeneityisnotamajorconcern
5.Ifheterogeneityisfound,identifyfactorsthatcanexplainit
6.Evaluatetheimpactofstudyqualityonresults
7.Explorethepotentialforpublicationbias
1.Tabulatesummarydata
Preparetablescomparingstudieswithrespectto:
–Year
–Setting
–Patients
–Intervention
–Comparison
–Outcome(results)
–Quality
Givesa‘firsthand’feelforthedataCanmakesomeassessmentofqualityandheterogeneity
TabulatesummarydataExample:Cochranealbuminreview
Study
Year
Patient
populati
on
Interven
tion
Compari
son
Summary
measure
(RR)
Allocati
on
concealment
Lucasetal.
1978
Trauma
Albumin
No
albumin
13.9
Inadequate
Jelenko
etal.
1979
Burns
Albumin
Ringer’slactate
0.50
Unclear
Rubinetal.
1997
Hypoalbuminemi
a
Albumin
No
albumin
1.9
Adequat
e
CochraneInjuriesGroupAlbuminReviewers.Humanalbuminadministrationincriticallyillpatients:systematicreviewofrandomisedcontrolledtrials.BMJ1998;317:235-40.
2.Graphsummarydata
Efficientwayofpresentingsummaryresults
Forestplot:
–PresentsthepointestimateandCIofeachtrial
–Alsopresentstheoverall,summaryestimate
–Allowsvisualappraisalofheterogeneity
Othergraphs:
–Cumulativemeta-analysis
–Funnelplotforpublicationbias
ForestPlot
Cochrane
albumin
review
BMJ1998;317:235-240
CumulativeMeta-analysisPlot
Passive
smokingand
lungcancer
review
HackshawAKetal.BMJ1997;315:980-88.
3.Checkforheterogeneity
IndicatesthateffectvariesalotacrossstudiesIfheterogeneityispresent,acommon,summarymeasureishardtointerpret
Canbeduetoduetodifferencesin:
–Patientpopulationsstudied
–Interventionsused
–Co-interventions
–Outcomesmeasured
–Studydesignfeatures(eg.lengthoffollow-up)
–Studyquality
–Randomerror
“Averagemenhavinganaveragemeal”
3.Checkforheterogeneity
Howtolookforheterogeneity?
–Visual
•Forestplot:doconfidenceintervalsofstudiesoverlapwitheachotherandthesummaryeffect?
–Statisticaltests:
•Chi-squaretestforheterogeneity(CochranQtest)
–Testswhethertheindividualeffectsarefartherawayfromthecommoneffect,beyondwhatisexpectedbychance
–Haspoorpower
–P-value<0.10indicatessignificantheterogeneity
Visualappraisalofheterogeneity
Zincforcommoncold:
Summaryandincidenceoddsratiosfortheincidenceofanycoldsymptomat1wk
JacksonJL,etal.Zincandthecommoncold:ameta-analysisrevisited.JofNutrition.2000;130:1512S-1515S
PooledSe=0.71
Heterogeneityp<0.001
PooledSp=0.95
Heterogeneityp<0.001
PaiM,etal.Comparisonofdiagnosticaccuracyofcommercialandin-housenucleicacidamplificationtestsfortuberculousmeningitis:ameta-analysis.PosterpresentedattheAmericanSocietyforMicrobiology,2003
3.Checkforheterogeneity
Ifsignificantheterogeneityisfound:
–Findoutwhatfactorsmightexplaintheheterogeneity
–Candecidenottocombinethedata
Ifnoheterogeneity:
–Canperformmeta-analysisandgenerateacommon,summaryeffectmeasure
4.Performmeta-analysis
Decidewhatdatatocombine
Datatypes:
–Continuous
–Dichotomous
Examplesofmeasuresthatcanbecombined:
–Riskratio
–Oddsratio
–Riskdifference
–Effectsize(Zstatistic;standardizedmeandifference)
–P-values
–Correlationcoefficient(R)
–Sensitivity&Specificityofadiagnostictest
4.Performmeta-analysis
Statisticalmodelsforcombiningdata:
–Allmethodsessentiallycomputeweightedaverages
–Weightingfactorisoftenthestudysize
–Models:
•Fixedeffectsmodel
–Inverse-variance,Petomethod,M-Hmethod
•Randomeffectsmodel
–DerSimonian&Lairdmethod
4.Performmeta-analysis
Statisticalmodelsforcombiningdata:
–Fixedeffectsmodel
•itisassumedthatthetrueeffectoftreatmentisthesamevalueineachstudy(fixed);thedifferencesbetweenstudiesissolelyduetorandomerror
–Randomeffectsmodel
•thetreatmenteffectsfortheindividualstudiesareassumedtovaryaroundsomeoverallaveragetreatmenteffect
–Allowsforrandomerrorplusinter-studyvariability
–Resultsinwiderconfidenceintervals(conservative)
–Studiestendtobeweightedmoreequally(relativelymoreweightisgiventosmallerstudies)
4.Performmeta-analysis
MoherDetal.ArchPediatrAdolescMed1998;152:915-20
5.Identifyfactorsthatcanexplainheterogeneity
Ifheterogeneityisfound,usetheseapproachestoidentifyfactorsthatcanexplainit:
–Graphicalmethods
–Subgroupanalysis
–Sensitivityanalysis
–Meta-regression
Ofalltheseapproaches,subgroupanalysisiseasilydoneandinterpreted
Subgroupanalysis:example
Eggeretal.Systematicreviewsinhealthcare.London:BMJbooks,2001.
PooledSe=0.56
Heterogeneityp=0.10
PooledSp=0.98
Heterogeneityp=0.10
SeandSpestimates(withCI)foronlycommercialtests[N=14]
PaiM,etal.Comparisonofdiagnosticaccuracyofcommercialandin-housenucleicacidamplificationtestsfortuberculousmeningitis:ameta-analysis.PosterpresentedattheAmericanSocietyforMicrobiology,2003
PooledSe=0.76Heterogeneityp<0.001
PooledSp=0.92Heterogeneityp<0.001
SeandSpestimates(withCI)foronlyin-housetests[N=35]
PaiM,etal.Comparisonofdiagnosticaccuracyofcommercialandin-housenucleicacidamplificationtestsfortuberculousmeningitis:ameta-analysis.PosterpresentedattheAmericanSocietyforMicrobiology,2003
6.Evaluateimpactofstudyqualityonresults
Narrativediscussionofimpactofqualityonresults
Displaystudyqualityandresultsinatabularformat
Weightthedatabyquality(notrecommended)
Subgroupanalysisbyquality
Includequalityasacovariateinmeta-regression
7.Explorepublicationbias
Studieswithsignificantresultsaremorelikely
–tobepublished
–tobepublishedinEnglish
–tobecitedbyothers
–toproducemultiplepublications
Includingonlypublishe
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