P1:FCH/FFX P2:FCH/FFX QC:FCH/FFX T1:FCH BY035-FM BY035-Leandro-v1 October5,2004 15:39 Meta-analysis in Medical Research Thehandbookforthe understandingand practiceofmeta-analysis i P1:FCH/FFX P2:FCH/FFX QC:FCH/FFX T1:FCH BY035-FM BY035-Leandro-v1 October5,2004 15:39 Tothosewhohavehelpedmebecome whoIam,eveniftheyexpectedmore IamverygratefultoAlbertoPilottoandAngeloAndriulliformany stimulatingandthoughtfuldiscussionsonanumberoftheoreticaland practicalaspectsofmeta-analysis. IamindebtedtoGiorgioGasparro,DPman,forhispatiencewithmy requests. Aheart-feltthankstoAndrewKBurroughs,beaconofknowledgeand wisdomformanypeople. Withouthisadviceandsupport,thiswork wouldhaveneverbeenwritten. iii P1:FCH/FFX P2:FCH/FFX QC:FCH/FFX T1:FCH BY035-FM BY035-Leandro-v1 October5,2004 15:39 Meta-analysis in Medical Research The handbook for the understanding and practice of meta-analysis Gioacchino Leandro Gastroenterologist,Biostatistician CastellanaGrotte,Italy FOREWORDBY Giuseppe Gallus HeadoftheInstituteofMedicalStatistics UniversityofMilan,Italy v P1:FCH/FFX P2:FCH/FFX QC:FCH/FFX T1:FCH BY035-FM BY035-Leandro-v1 October5,2004 15:39 (cid:1)c 2005GioacchinoLeandro PublishedbyBlackwellPublishingLtd. BMJBooksisanimprintoftheBMJPublishingGroupLimited,usedunderlicence BlackwellPublishing,Inc.,350MainStreet,Malden,Massachusetts02148-5020,USA BlackwellPublishingLtd,9600GarsingtonRoad,OxfordOX42DQ,UK BlackwellPublishingAsiaPtyLtd,550SwanstonStreet,Carlton,Victoria3053,Australia TherightoftheAuthortobeidentifiedastheAuthorofthisWorkhasbeenassertedin accordancewiththeCopyright,DesignsandPatentsAct1988. Allrightsreserved.Nopartofthispublicationmaybereproduced,storedinaretrievalsystem, ortransmitted,inanyformorbyanymeans,electronic,mechanical,photocopying,recording orotherwise,exceptaspermittedbytheUKCopyright,DesignsandPatentsAct1988, withoutthepriorpermissionofthepublisher. Firstpublished2005 LibraryofCongressCataloging-in-PublicationData Leandro,Gioacchino. Meta-analysisinmedicalresearch: thehandbookfortheunderstandingandpracticeof meta-analysis/GioacchinoLeandro. p. ; cm Includesbibliographicalreferencesandindex. ISBN1-4051-2733-3(alk. paper) 1. Meta-analysis. 2. Medicine–Research–Evaluation. [DNLM: 1. BiomedicalResearch–methods. 2. Meta-analysis. 3. Bias(Epidemiology) 4. PublicationBias. WA950L437m2004] I.Title. R853.M48L43 2004 610(cid:1).72–dc22 2004017776 ISBN1-4051-2733-3 AcataloguerecordforthistitleisavailablefromtheBritishLibrary Setin10/13.5SabonbyTechBooks,India PrintedandboundinIndiabyReplikaPressPvt. Ltd. CommissioningEditor: AlisonBrown EditorialAssistant: ClaireBonnett DevelopmentEditor: FionaPattison ProductionController: KateCharman ForfurtherinformationonBlackwellPublishing,visitourwebsite: http://www.blackwellpublishing.com Thepublisher’spolicyistousepermanentpaperfrommillsthatoperateasustainableforestry policy,andwhichhasbeenmanufacturedfrompulpprocessedusingacid-freeandelementary chlorine-freepractices. Furthermore,thepublisherensuresthatthetextpaperandcoverboard usedhavemetacceptableenvironmentaccrediationstandards. vi P1:FCH/FFX P2:FCH/FFX QC:FCH/FFX T1:FCH BY035-FM BY035-Leandro-v1 October5,2004 15:39 Contents Foreword ix Preface xi Introduction 1 A brief history 4 Aims 5 How to Plan a Meta-Analysis 7 Defining the outcomes 8 Choosing the characteristics of the trials that one wants to select 8 The ‘grey literature’ 9 Finding and evaluating the articles 10 Statistical procedures 13 Interpretation of results 14 Bias in Meta-Analytical Research 15 Sampling bias 16 Selection bias 18 Within study bias 19 Other biases 19 Appendix 20 Statistical Procedures 23 Fixed effects models 24 Random effects models 29 vii P1:FCH/FFX P2:FCH/FFX QC:FCH/FFX T1:FCH BY035-FM BY035-Leandro-v1 October5,2004 15:39 viii Contents Working Procedures 33 Accuracy of the data 34 Evaluation of the numeric output for each trial 35 Evaluation of the pooled effect 38 Additional considerations on heterogeneity 39 Quantifying heterogeneity: the I2 index 42 Tests for publication bias 42 Number needed to treat (NNT) 43 Graphical representation 44 How to Read, Evaluate and Present a Meta-Analysis 57 How to read and evaluate a meta-analysis 58 How to present a meta-analysis 59 Examples 61 How to Use the Program 63 General information 64 Installation of the program 64 Structure of the program 65 Use of the program 69 Getting started 70 References 87 Glossary 89 Index 93 P1:FCH/FFX P2:FCH/FFX QC:FCH/FFX T1:FCH BY035-FM BY035-Leandro-v1 October5,2004 15:39 Foreword Intheircurrentmedicalpractice,physiciansneedtobeupdatedwiththere- sultsofthemostimportantclinicalstudies. Inaddition,theyareoftenasked to be part of trials and to evaluate the results of new diagnostic tools and experimentaldata. Agoodknowledgeofprinciplesandthemethodologyof statisticsisthereforemandatoryforallphysicians. Althoughtherehasbeenanincreasinginterestinevidence-basedpractice of medicine in the past few years, the data interpretation is still performed badlyandstatisticsareoftenmisused. Amongtheprincipalreasonsforthis isthelackofknowledgeconcerningtheuseofmathematicalandstatistical tools, and a consequent tendency to avoid them if possible. Thus, those physicianswhoaremorefamiliarwiththistypeofstatistics,andwhoknow what is required in good medical practice and how to communicate with theircolleagues,areofgreathelp. This guide to meta-analysis, together with the included statistical soft- ware, is the work of a clinician and it deals with the difficulties mentioned above. The reader is introduced to the principal aspects of meta-analysis using a simple terminology, which does not imply a superficial approach. The most common errors encountered in the practical application of statistical procedures are discussed. The program is designed for easy use, which willhelpclinicianstoutilizemeta-analysis. Thehandbookcontainsashort sectiondedicatedtothestatisticalproceduresapplied. Abasicknowledgeof statisticalmethodsisanessentialstartingpoint,butthismanualcanalsobe ofgreatinterestandprovideusefulinformationforthosewhohavegreater experience and are consolidating their statistical knowledge. It is therefore logicalthattheauthor’schoicehasbeentoconcentrateonpracticalguidelines ratherthandescribingstatisticalmethods. ix P1:FCH/FFX P2:FCH/FFX QC:FCH/FFX T1:FCH BY035-FM BY035-Leandro-v1 October5,2004 15:39 x Foreword I am therefore very pleased to write a Foreword for this handbook of meta-analysis,withcertaintythatitwillbeasuccess. ProfessorGiuseppeGallus HeadoftheInstituteofMedicalStatistics UniversityofMilan,Italy P1:FCH/FFX P2:FCH/FFX QC:FCH/FFX T1:FCH BY035-FM BY035-Leandro-v1 October5,2004 15:39 Preface The aim of this handbook is to provide the clinical researcher, who is tra- ditionallynotfamiliarwithmathematicsandstatistics,withthebasicprin- ciplesnecessarytounderstandthepowerofmeta-analysisandtheessential instrumentstoperformagoodclinicalstudy. ForthispurposeIhavechosen simpleanddirectlanguage, usingeasyconceptsandexamplestoenablean intuitive understanding of the problems, at the same time trying to avoid over-simplification. For these reasons this manual is not intended as a textbook on meta- analysis, but rather a learning tool or a guide for the clinical researcher to understandthebasicprinciplesofstatisticssothatlateritmaybehelpfulfor correctuseofmeta-analysis. Thisbookshouldenablethereadertoperformameta-analysis,reportits results in the correct way and also help understand and critically evaluate meta-analysis published in scientific journals. For further information the readerisreferredtoothertextsorarticles. Thesoftwareincludediseasytouseanditcontainsinnovativefunctions (i.e. movinginformationfromprogramtoprograminWindows),additional procedures(cumulativemeta-analysis,numberneededtotreat(NNT),pub- licationbiasassessment,testforasymmetryoffunnelplot)andgraphicsnot available in other programs (Galbraith’s plots, funnel plot and its test for asymmetry). The plot for the sub-group analysis, especially for sensitivity analysis, allows a better understanding of the effect of therapies or proce- dures on sub-groups in clinical trials. These features make the program a completeandusefultool. Thechapteronstatisticalanalysisexplainsthecomputationalmethodsin detail using simple terms and examples. The expert reader will find in this sectiontheformalaspectsofthestatisticalprocedureused,whereasabegin- ner will learn several concepts which will be very useful in understanding meta-analysis. xi
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