Cover ; Title Page ; Copyright Page ; Dedication ; Table of Contents ; List of Figures ; List of Tables ; Preface ; About the Author ; 1: Introduction ; 1.1 Example: Generalized estimating equations ; 1.2 Example: REML estimation ; 1.3 Example: Salamander mating data
1.4 A roadmap 2: Asymptotic Analysis of Linear Mixed Models ; 2.1 Maximum likelihood ; 2.2 Restricted maximum likelihood ; 2.2.1 Asymptotic behavior of REML: Earlier studies ; 2.2.2 Asymptotic behavior of REML: Asymptotic superiority
2.2.3 Asymptotic behavior of REML: Wald consistency 2.3 Asymptotic covariance matrix in non-Gaussian LMM ; 2.3.1 Empirical method of moments ; 2.3.2 Partially observed information ; 2.4 Mixed model prediction ; 2.4.1 Best linear unbiased prediction ; 2.4.2 Observed best prediction
2.4.3 Classified mixed model prediction 2.5 Linear mixed model diagnostics ; 2.6 Misspecified mixed model analysis ; 2.6.1 A misspecified LMM and MMMA ; 2.6.2 Preliminaries ; 2.6.3 Consistency and asymptotic distribution ; 2.6.4 Further empirical results
2.7 Additional bibliographical notes and open problems 2.7.1 Bibliographical notes ; 2.7.2 Open problems ; 3: Asymptotic Analysis of Generalized Linear Mixed Models ; 3.1 Asymptotic deficiency of PQL ; 3.2 Generalized estimating equations ; 3.2.1 Estimating equations and GEE