Advances in Latent Variable Mixture Models

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Gregory R. Hancock, Karen M. Samuelsen
IAP, 2008 - Mathematics - 370 pages
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The current volume, Advances in Latent Variable Mixture Models, contains chapters by all of the speakers who participated in the 2006 CILVR conference, providing not just a snapshot of the event, but more importantly chronicling the state of the art in latent variable mixture model research. The volume starts with an overview chapter by the CILVR conference keynote speaker, Bengt Muthen, offering a "lay of the land" for latent variable mixture models before the volume moves to more specific constellations of topics. Part I, Multilevel and Longitudinal Systems, deals with mixtures for data that are hierarchical in nature either due to the data's sampling structure or to the repetition of measures (of varied types) over time. Part II, Models for Assessment and Diagnosis, addresses scenarios for making judgments about individuals' state of knowledge or development, and about the instruments used for making such judgments. Finally, Part III, Challenges in Model Evaluation, focuses on some of the methodological issues associated with the selection of models most accurately representing the processes and populations under investigation. It should be stated that this volume is not intended to be a first exposure to latent variable methods. Readers lacking such foundational knowledge are encouraged to consult primary and/or secondary didactic resources in order to get the most from the chapters in this volume. Once armed with that basic understanding of latent variable methods, we believe readers will find this volume incredibly exciting."
 

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Contents

LATENT VARIABLE HYBRIDS Overview of Old and New Models
1
MULTILEVEL AND LONGITUDINAL SYSTEMS
25
MULTILEVEL MIXTURE MODELS
27
LONGITUDINAL MODELING OF POPULATION HETEROGENEITY Methodological Challenges to the Analysis of Empirically Derived Criminal ...
53
EXAMINING CONTINGENT DISCRETE CHANGE OVER TIME WITH ASSOCIATIVE LATENT TRANSITION ANALYSIS
77
MODELING MEASUREMENT ERROR IN EVENT OCCURRENCE FOR SINGLE NONRECURRING EVENTS IN DISCRETETIME SURVIVAL A...
105
MODELS FOR ASSESSMENT AND DIAGNOSIS
147
EVIDENTIARY FOUNDATIONS OF MIXTURE ITEM RESPONSE THEORY MODELS
149
APPLICATIONS OF STOCHASTIC ANALYSES FOR COLLABORATIVE LEARNING AND COGNITIVE ASSESSMENT
217
THE MIXTURE GENERAL DIAGNOSTIC MODEL
255
CHALLENGES IN MODEL EVALUATION
275
CATEGORIES OR CONTINUA? The Correspondence Between Mixture Models and Factor Models
277
APPLICATIONS AND EXTENSIONS OF THE TWOPOINT MIXTURE INDEX OF MODEL FIT
299
IDENTIFYING THE CORRECT NUMBER OF CLASSES IN GROWTH MIXTURE MODELS
317
CHOOSING A CORRECT FACTOR MIXTURE MODEL Power Limitations and Graphical Data Exploration
343
ABOUT THE CONTRIBUTORS
363

EXAMINING DIFFERENTIAL ITEM FUNCTIONING FROM A LATENT MIXTURE PERSPECTIVE
177
MIXTURE MODELS IN A DEVELOPMENTAL CONTEXT
199

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Page 23 - J. (2002). General growth mixture modeling for randomized preventive interventions. Biostatistics, 3, 459-475. Muthen, BO, & Curran, PJ (1997).

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