This book aims to steer the reader through a pool of techniques available for analysing repeated measurements. It describes an appropriately random selection of examples in connection with the various statistical methods.
This book aims to steer the reader through a pool of techniques available for analysing repeated measurements. It describes an appropriately random selection of examples in connection with the various statistical methods.
Acknowledgements Preface 1 Introduction 1.1 Background and objectives 1.2 Overview 2 Some simple analyses 2.1 Comparisons at individual times 2.2 Response feature analysis 2.3 Individual curve fitting 2.4 Further reading 3 Univariate analysis of variance 3.1 The fundamental model 3.2 Anova 3.3 Calculation of expected mean squares 3.4 Expected mean squares by 'synthesis' 3.5 Contrasts, compound symmetry and F tests 3.6 Relaxing assumptions: univariate, modified univariate, or multivariate tests? 3.7 Further reading 4 Multivariate analysis 4.1 Models without special covariance structure 4.2 Hotelling's T2 4.3 Testing for polynomial trends 4.4 Manova 4.5 Further reading 5 Regression models 5.1 Special case 5.2 General case 5.3 Structured covariance case 5.4 Some covariance structures 5.5 Further reading 6 Two stage linear models 6.1 Random regression coefficients 6.2 Estimation and testing 6.3 Particular aspects 6.4 Examples 6.5 Further reading 7 Crossover experiments 7.1 Simple 2 x 2 designs 7.2 A Bayesian approach to 2 x 2 designs 7.3 More complex crossover designs for two treatments 7.4 Crossover trials with a binary response 7.5 Further topics 7.6 Further reading 8 Categorical data 8.1 Introduction 8.2 Markov chain models 8.3 Log linear models 8.4 Linear model methods for group and time comparisons 8.5 Randomization test approaches 8.6 Some special cases 8.7 Further reading 9 Some further topics 9.1 Some practical matters 9.2 Antedependence 9.3 Tracking 9.4 Nonlinear growth curves 9.5 Non normal observations 10 Computer software and examples 10.1 Repeated measures facilities in BMDP, SPSS' and SAS 10.2 Example 1 BMDP program 2V 10.3 Example 2 BMDP program 2V 10.4 Example 3 BMDP program 2V 10.5 Example 4 SPSS' program MANOVA 10.6 Example 5 SPSS' program MANOVA 10.7 Example 6 BMDP program 5V Bibliography /Supplementary References Index.
Acknowledgements Preface 1 Introduction 1.1 Background and objectives 1.2 Overview 2 Some simple analyses 2.1 Comparisons at individual times 2.2 Response feature analysis 2.3 Individual curve fitting 2.4 Further reading 3 Univariate analysis of variance 3.1 The fundamental model 3.2 Anova 3.3 Calculation of expected mean squares 3.4 Expected mean squares by 'synthesis' 3.5 Contrasts, compound symmetry and F tests 3.6 Relaxing assumptions: univariate, modified univariate, or multivariate tests? 3.7 Further reading 4 Multivariate analysis 4.1 Models without special covariance structure 4.2 Hotelling's T2 4.3 Testing for polynomial trends 4.4 Manova 4.5 Further reading 5 Regression models 5.1 Special case 5.2 General case 5.3 Structured covariance case 5.4 Some covariance structures 5.5 Further reading 6 Two stage linear models 6.1 Random regression coefficients 6.2 Estimation and testing 6.3 Particular aspects 6.4 Examples 6.5 Further reading 7 Crossover experiments 7.1 Simple 2 x 2 designs 7.2 A Bayesian approach to 2 x 2 designs 7.3 More complex crossover designs for two treatments 7.4 Crossover trials with a binary response 7.5 Further topics 7.6 Further reading 8 Categorical data 8.1 Introduction 8.2 Markov chain models 8.3 Log linear models 8.4 Linear model methods for group and time comparisons 8.5 Randomization test approaches 8.6 Some special cases 8.7 Further reading 9 Some further topics 9.1 Some practical matters 9.2 Antedependence 9.3 Tracking 9.4 Nonlinear growth curves 9.5 Non normal observations 10 Computer software and examples 10.1 Repeated measures facilities in BMDP, SPSS' and SAS 10.2 Example 1 BMDP program 2V 10.3 Example 2 BMDP program 2V 10.4 Example 3 BMDP program 2V 10.5 Example 4 SPSS' program MANOVA 10.6 Example 5 SPSS' program MANOVA 10.7 Example 6 BMDP program 5V Bibliography /Supplementary References Index.
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