New Developments in Categorical Data Analysis for the Social and Behavioral Sciences

by van der Ark,L. Andries

• ISBN13: 9780805847284
• ISBN10: 0805847286
• eBook ISBN(s): 9781135704841
• Edition: 1st
• Format: Hardcover
• Copyright: 2004-11-12
• Publisher: Psychology Pres
• More Book Details

Summary

Categorical data are quantified as either nominal variables--distinguishing different groups, for example, based on socio-economic status, education, and political persuasion--or ordinal variables--distinguishing levels of interest, such as the preferred politician or the preferred type of punishment for committing burglary. This new book is a collection of up-to-date studies on modern categorical data analysis methods, emphasizing their application to relevant and interesting data sets. This volume concentrates on latent class analysis and item response theory. These methods use latent variables to explain the relationships among observed categorical variables. Latent class analysis yields the classification of a group of respondents according to their pattern of scores on the categorical variables. This provides insight into the mechanisms producing the data and allows the estimation of factor structures and regression models conditional on the latent class structure. Item response theory leads to the identification of one or more ordinal or interval scales. In psychological and educational testing these scales are used for individual measurement of abilities and personality traits. The focus of this volume is applied. After a method is explained, the potential of the method for analyzing categorical data is illustrated by means of a real data example to show how it can be used effectively for solving a real data problem. These methods are accessible to researchers not trained explicitly in applied statistics. This volume appeals to researchers and advanced students in the social and behavioral sciences, including social, developmental, organizational, clinical and health psychologists, sociologists, educational and marketing researchers, and political scientists. In addition, it is of interest to those who collect data on categorical variables and are faced with the problem of how to analyze such variables--among themselves or in relation to metric variables.

Author Biography

Andries van der Ark is Assistant Professor in the Department of Methodology and Statistics at Tilburg University in The Netherlands. He specializes in item response theory, latent class models, and missing data analysis.
Marcel A. Croon is Associate Professor in the Department of Methodology and Statistics at Tilburg University. His research focuses on the study of structural models for categorical and continuous variables.
Klaas Sijtsma is Professor and Chair of the Department of Methodology and Statistics at Tilburg University. He is a member of the editorial board of Applied Psychological Measurement and the Associate Editor of Psychometrika. His area of expertise is item response theory.

Table of Contents

Preface	vii
About the Authors	ix
1 Statistical Models for Categorical Variables	1	(14)
L. Andries van der Ark, Marcel A. Croon, and Klaas Sijtsma
2 Misclassification Phenomena in Categorical Data Analysis: Regression Toward the Mean and Tendency Toward the Mode	15	(26)
Jacques A. Hagenaars
3 Factor Analysis With Categorical Indicators: A Comparison Between Traditional and Latent Class Approaches	41	(22)
Jeroen K. Vermunt and Jay Magidson
4 Bayesian Computational Methods for Inequality Constrained Latent Class Analysis	63	(20)
Olav Laudy, Jan Boom, and Herbert Hoijtink
5 Analyzing Categorical Data by Marginal Models	83	(20)
Wicher P. Bergsma and Marcel A. Croon
6 Computational Aspects of the E-M and Bayesian Estimation in Latent Variable Models	103	(22)
Irini Moustaki and Martin Knott
7 Logistic Models for Single-Subject Time Series	125	(22)
Peter W. van Rijn and Peter C.M. Molenaar
8 The Effect of Missing Data Imputation on Mokken Scale Analysis	147	(20)
L. Andries van der Ark and Klaas Sijtsma
9 Building IRT Models From Scratch: Graphical Models,Exchangeability, Marginal Freedom, Scale Types, and Latent Traits	167	(20)
Henk Kelderman
10 The Nedelsky Model for Multiple-Choice Items	187	(20)
Timo M. Bechger, Gunter Maris, Huub H.F.M. Verstralen, and Norman D. Verhelst
11 Application of the Polytomous Saltus Model to Stage-Like Proportional Reasoning Data	207	(20)
Karen Draney and Mark Wilson
12 Multilevel IRT Model Assessment	227	(26)
Jean-Paul Fox
Author Index	253	(5)
Subject Index	258