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Generalised latent variable modeling: multilevel, longitudinal, and structural equation models

Author: Skrondal, Anders ; Rabe-Hesketh, SophiaPublisher: Chapman and Hall, 2004. ; CRC, 2004.Language: EnglishDescription: 508 p. : Graphs ; 24 cm.ISBN: 1584880007Type of document: BookBibliography/Index: Includes bibliographical references and index
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Item type Current location Collection Call number Status Date due Barcode Item holds
Book Europe Campus
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Print QA279 .S58 2004
(Browse shelf)
001173271
Available 001173271
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Includes bibliographical references and index

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Interdisciplinary Statistics Generalized Latent Variable Modeling Multilevel, Longitudinal, and Structural Equation Models Contents Preface Dedication I Methodology 1 The omni-presence of latent variables 1.1 Introduction 1.2 'True' variable measured with error 1.3 Hypothetical constructs 1.4 Unobserved heterogeneity 1.5 Missing values and counterfactuals 1.6 Latent responses 1.7 Generating flexible distributions 1.8 Combining information 1.9 Summary 2 Modeling different response processes 2.1 Introduction 2.2 Generalized linear models 2.3 Extensions of generalized linear models 2.4 Latent response formulation 2.5 Modeling durations or survival 2.6 Summary and further reading 3 Classical latent variable models 3.1 Introduction 3.2 Multilevel regression models 3.3 Factor models and item response models 3.4 Latent class models 3.5 Structural equation models with latent variables 3.6 Longitudinal models 3.7 Summary and further reading 4 General model framework 4.1 Introduction V ix xi xiii 1 1 2 4 9 14 16 17 18 18 21 21 22 27 33 39 46 49 49 49 63 74 75 80 93 95 95 vi CONTENTS 4.2 Response model 96 4.3 Structural model for the latent variables 108 4.4 Distribution of the disturbances 112 4.5 Parameter restrictions and fundamental parameters 117 4.6 Reduced form of the latent variables and linear predictor 120 4.7 Moment structure of the latent variables 121 4.8 Marginal moment structure of observed and latent responses123 4.9 Reduced form distribution and likelihood 127 4.10 Reduced form parameters 130 4.11 Summary and further reading 132 5 Identification and equivalence 5.1 Introduction 5.2 Identification 5.3 Equivalence 5.4 Summary and further reading 6 Estimation 6.1 Introduction 6.2 Maximum likelihood: Closed form marginal likelihood 6.3 Maximum likelihood: Approximate marginal likelihood 6.4 Maximizing the likelihood 6.5 Nonparametric maximum likelihood estimation 6.6 Restricted/Residual maximum likelihood (REML) 6.7 Limited information methods 6.8 Maximum quasi-likelihood 6.9 Generalized Estimating Equations (GEE) 6.10 Fixed effects methods 6.11 Bayesian methods 6.12 Summary Appendix: Some software and references 7 Assigning values to latent variables 7.1 Introduction 7.2 Posterior distributions 7.3 Empirical Bayes (EB) 7.4 Empirical Bayes modal (EBM) 7.5 Maximum likelihood 7.6 Relating the scoring methods in the `linear case' 7.7 Ad hoc scoring methods 7.8 Sonic uses of latent scoring and classification 7.9 Summary and further reading Appendix: Some software 135 135 136 152 157 159 159 160 161 174 182 184 185 191 197 200 204 214 216 221 221 222 225 235 237 241 241 243 247 249 CONTENTS 8 Model specification and inference 8.1 Introduction 8.2 Statistical modeling 8.3 Inference (likelihood based) 8.4 Model selection: Relative fit criteria 8.5 Model adequacy: Global absolute fit criteria 8.6 Model diagnostics: Local absolute fit criteria 8.7 Summay and further reading II Applications 9 Dichotomous responses 9.1 Introduction 9.2 Respiratory infection in children: A random intercept model 9.3 Diagnosis of myocardial infarction: A latent class model 9.4 Arithmetic reasoning: Item response models 9.5 Nicotine guns and smoking cessation: A meta-analysis 9.6 Wives. employment transitions: Markov models with unobserved heterogeneity 9.7 Counting snowshoe hares: Capture-recapture models with heterogeneity 9.8 Attitudes to abortion: A multilevel item response model 9.9 Summary and further reading 10 Ordinal responses 10.1 Introduction 10.2 Cluster randomized trial of sex education: Latent growth curve model 10.3 Political efficacy: Factor dimensionality and item-bias 10.4 Life satisfaction: Ordinal scaled probit factor models 10.5 Summar y and further reading vii 251 251 251 257 262 267 272 280 283 285 285 285 288 292 299 307 311 315 318 321 321 321 326 338 347 11 Counts 349 11.1 Introduction 349 11.2 Prevention of faulty teeth in children: Modeling overdispersion 349 11.3 Treatment of epilepsy: A random coefficient model 355 11.4 Lip cancer in Scotland: Disease mapping 361 11.5 Summary and further reading 370 12 Durations and survival 373 12.1 Introduction 373 12.2 Modeling multiple events clustered duration data 373 12.3 Onset of smoking: Discrete time frailty models 375 12.4 Exercise and angina: Proportional hazards random effects and factor models 382 viii 12.5 Summary and further reading CONTENTS 390 393 393 393 395 397 404 408 415 13 Comparative responses 13.1 Introduction 13.2 Heterogeneity and `Independence from Irrelevant Alternatives' 13.3 Model structure 13.4 British general elections: Multilevel models for discrete choice and rankings 13.5 Post-materialism: A latent class model for rankings 13.6 Consumer preferences for coffee makers: A conjoint choice model 13.7 Summary and further reading 14 Multiple processes and mixed responses 417 14.1 Introduction 417 14.2 Diet and heart disease: A covariate measurement error model 417 14.3 Herpes and cervical cancer: A latent class covariate measurement error model for a case-control study 422 14.4 Job training and depression: A complier average causal effect model 427 14.5 Physician advice and drinking: An endogenous treatment model 432 14.6 Treatment of liver cirrhosis: A joint survival and marker model 438 14.7 Summary and further reading 443 References Index Author index 445 487 496

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