Meta-Analysis: A Structural Equation Modeling Approach

403 Pages·2015·2.15 MB·English

by  Mike W.-L. Cheung

Meta-Analysis

Meta-Analysis
A Structural Equation Modeling Approach
Mike W. -L. Cheung
National UniversityofSingapore,Singapore
Thiseditionfirstpublished2015
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Contents
Preface xiii
Acknowledgments xv
Listofabbreviations xvii
Listoffigures xix
Listoftables xxi
1 Introduction 1
1.1 Whatismeta-analysis? 1
1.2 Whatisstructuralequationmodeling? 2
1.3 Reasonsforwritingabookonmeta-analysisandstructural
equationmodeling 3
1.3.1 Benefitstousersofstructuralequationmodelingand
meta-analysis 6
1.4 Outlineofthefollowingchapters 6
1.4.1 Computerexamplesanddatasetsusedinthisbook 8
1.5 Concludingremarksandfurtherreadings 8
References 9
2 Briefreviewofstructuralequationmodeling 13
2.1 Introduction 13
2.2 Modelspecification 14
2.2.1 Equations 14
2.2.2 Pathdiagram 15
2.2.3 Matrixrepresentation 15
2.3 Commonstructuralequationmodels 18
2.3.1 Pathanalysis 18
2.3.2 Confirmatoryfactoranalysis 19
2.3.3 Structuralequationmodel 21
2.3.4 Latentgrowthmodel 22
2.3.5 Multiple-groupanalysis 23
viii CONTENTS
2.4 Estimationmethods,teststatistics,andgoodness-of-fitindices 25
2.4.1 Maximumlikelihoodestimation 25
2.4.2 Weightedleastsquares 26
2.4.3 Multiple-groupanalysis 28
2.4.4 LikelihoodratiotestandWaldtest 28
2.4.5 Confidenceintervalsonparameterestimates 29
2.4.6 Teststatisticsversusgoodness-of-fitindices 34
2.5 Extensionsonstructuralequationmodeling 38
2.5.1 Phantomvariables 38
2.5.2 Definitionvariables 39
2.5.3 Fullinformationmaximumlikelihoodestimation 41
2.6 Concludingremarksandfurtherreadings 42
References 42
3 Computingeffectsizesformeta-analysis 48
3.1 Introduction 48
3.2 Effectsizesforunivariatemeta-analysis 50
3.2.1 Meandifferences 50
3.2.2 CorrelationcoefficientanditsFisher’sztransformation 55
3.2.3 Binaryvariables 56
3.3 Effectsizesformultivariatemeta-analysis 57
3.3.1 Meandifferences 57
3.3.2 CorrelationmatrixanditsFisher’sztransformation 59
3.3.3 Oddsratio 60
3.4 Generalapproachtoestimatingthesamplingvariancesand
covariances 60
3.4.1 Deltamethod 61
3.4.2 Computationwithstructuralequationmodeling 64
3.5 IllustrationsUsingR 68
3.5.1 Repeatedmeasures 69
3.5.2 Multipletreatmentstudies 71
3.5.3 Multiple-endpointstudies 73
3.5.4 Multipletreatmentwithmultiple-endpointstudies 75
3.5.5 Correlationmatrix 77
3.6 Concludingremarksandfurtherreadings 78
References 78
4 Univariatemeta-analysis 81
4.1 Introduction 81
4.2 Fixed-effectsmodel 83
4.2.1 Estimationandhypothesestesting 83
4.2.2 Testingthehomogeneityofeffectsizes 85
4.2.3 Treatingthesamplingvarianceasknownversus
asestimated 85