Advances in Configural Frequency Analysis

by von Eye, Alexander; Mair, Patrick; Mun, Eun-Young

Edition: 1st

ISBN13: 9781606237199

ISBN10: 1606237195

Format: Hardcover

Pub. Date: 2010-04-20

Publisher(s): The Guilford Press

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Summary

Using real-world data examples, this authoritative book shows how to use the latest configural frequency analysis (CFA) techniques to analyze categorical data. Some of the techniques are presented here for the first time. In contrast to methods that focus on relationships among variables, such as log-linear modeling, CFA allows researchers to evaluate differences and change at the level of individual cells in a table. Illustrated are ways to identify and test for cell configurations that are either consistent with or contrary to hypothesized patterns (the types and antitypes of CFA); control for potential covariates that might influence observed results; develop innovative prediction models; address questions of moderation and mediation; and analyze intensive longitudinal data. The book also describes free software applications for executing CFA.

Author Biography

Alexander von Eye is Professor of Psychology at Michigan State University. He develops, studies, and applies methods for the analysis of categorical data (in particular, configural frequency analysis and log-linear modeling) and longitudinal data. He also works on and with classification methods and conducts simulation studies. Dr. von Eye has published over 350 articles in methodological, statistical, psychological, and developmental journals, and he is the (co)author or (co)editor of 18 books. He is a Fellow of the American Psychological Association and the American Psychological Society, and he was visiting professor of statistics, psychology, human development, and education at a number of universities in Austria and Germany, as well as at Penn State.

Patrick Mair is Assistant Professor in the Institute for Statistics and Mathematics, WU Vienna University of Economics and Business. He was a visiting scholar at the University of California, Los Angeles. Dr. Mair's research focuses on computational/applied statistics and psychometrics, including methodological developments as well as corresponding implementations in the statistical computing environment R. His publications appear in journals of applied and computational statistics.

Eun-Young Mun is Assistant Professor of Psychology at Rutgers, The State University of New Jersey. Her research aims to better understand how alcohol and drug use behaviors develop over time, and to delineate mechanisms of behavior change in order to develop effective prevention and intervention approaches, especially for adolescents and emerging adults. She is also interested in extending existing research methodology by integrating and synthesizing distinctive methods together--in particular, pattern-oriented and person-oriented longitudinal research methods--and by disseminating applications. She is coauthor of Analyzing Rater Agreement and publishes articles in developmental, clinical, and methodological journals.

Introduction	p. 1
Questions That CFA Can Answer	p. 3
The Five Steps of CFA	p. 8
Introduction to CFA: An Overview	p. 15
Chapter Summary	p. 23
Configural Analysis of Rater Agreement	p. 25
Rater Agreement CFA	p. 25
Data Examples	p. 30
Chapter Summary	p. 40
Structural Zeros in CFA	p. 41
Blanking Out Structural Zeros	p. 42
Structural Zeros by Design	p. 45
Polynomials and the Method of Differences	p. 45
Identifying Zeros That Are Structural by Design	p. 51
Chapter Summary	p. 56
Covariates in CFA	p. 58
CFA and Covariates	p. 58
Chapter Summary	p. 62
Configural Prediction Models	p. 63
Logistic Regression and Prediction CFA	p. 65
Logistic Regression	p. 65
Prediction CFA	p. 69
Comparing Logistic Regression and P-CFA Models	p. 83
Predicting an End Point	p. 86
Predicting a Trajectory	p. 89
Graphical Presentation of Results of P-CFA Models	p. 91
Chapter Summary	p. 93
Configural Mediator Models	p. 95
Logistic Regression Plus Mediation	p. 98
CFA-Based Mediation Analysis	p. 110
Configural Chain Models	p. 130
Chapter Summary	p. 131
Auto-Association CFA	p. 132
A-CFA without Covariates	p. 132
A-CFA with Covariates	p. 137
A-CFA with Covariates I: Types and Antitypes Reflect Any of the Possible Relationships among Two or More Series of Measures	p. 138
A-CFA with Covariates II: Types and Antitypes Reflect Only Relationships between the Series of Measures and the Covariate	p. 139
Chapter Summary	p. 144
Configural Moderator Models	p. 146
Configural Moderator Analysis: Base Models with and without Moderator	p. 148
Longitudinal Configural Moderator Analysis under Consideration of Auto-Associations	p. 152
Configural Moderator Analysis as n-Group Comparison	p. 156
Moderated Mediation	p. 158
Graphical Representation of Configural Moderator Results	p. 165
Chapter Summary	p. 167
The Validity of CFA Types and Antitypes	p. 169
Validity in CFA	p. 169
Chapter Summary	p. 174
Functional CFA	p. 176
F-CFAI: An Alternative Approach to Exploratory CFA	p. 177
Kieser and Victor's Alternative, Sequential CFA: Focus on Model Fit	p. 179
von Eye and Mair's Sequential CFA: Focus on Residuals	p. 182
Special Case: One Dichotomous Variable	p. 188
F-CFA II: Explaining Types and Antitypes	p. 190
Explaining Types and Antitypes: The Ascending, Inclusive Strategy	p. 191
Explaining Types and Antitypes: The Descending, Exclusive Strategy	p. 199
Chapter Summary	p. 206
CFA of Intensive Categorical Longitudinal Data	p. 208
CFA of Runs	p. 210
Configural Lag Analysis	p. 216
Chapter Summary	p. 221
Reduced CFA Designs	p. 223
Fractional Factorial Designs	p. 225
Examples of Fractional Factorial Designs	p. 230
Extended Data Example	p. 236
Chapter Summary	p. 245
Computational Issues	p. 247
A CFA Program	p. 248
Description of CFA Program	p. 248
Sample Applications	p. 250
The cfa Package in R	p. 265
Using lEM to Perform CFA	p. 271
Chapter Summary	p. 286
References	p. 288
Author Index	p. 299
Subject Index	p. 303
About the Authors	p. 306
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