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Confirmatory Factor Analysis / Edition 1

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Overview

A statistical method that will appeal to two groups in particular - those who are currently using the more traditional technique of exploratory factor analysis and those who are interested in the analysis of covariance structures, commonly known as the LISREL model. The first group will find that this technique may be more appropriate to the analysis of their research problems while the second group will find that confirmatory factor analysis is a useful first step to understanding the LISREL model. This book, and its companion volume, Covariance Structure Models, are designed to be read consecutively. The proofs presented are simple, but the reader must feel comfortable with matrix algebra in order to understand the model.

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Product Details

Meet the Author

Scott Long is Distinguished Professor and Chancellor's Professor of Sociology and Statistics at Indiana University, Bloomington. He teaches quantitative methods both at Indiana University and at the ICSPR Summer Program. His earlier research examined gender differences in the scientific career. In recent years, he has collaborated with Eliza Pavalko, Bernice Pescsolido, John Bancroft, Julia Heiman and others in studies of health and aging, stigma and mental health, and human sexuality.
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Table of Contents

Notation 5
Preface 7
Series Editor's Introduction 9
1. Introduction 11
Exploratory Versus Confirmatory Factor Analysis 11
Structural Relations Among Common Factors 15
Organization of the Monograph 17
2. Specification of the Confirmatory Factor Model 18
An Informal Introduction 18
A Formal Specification 22
The Covariance Structure 33
3. Identification of the Confirmatory Factor Model 34
Estimation and Identification 34
Identification 36
Conditions for Identification 42
Scale Indeterminacy and Setting a Metric 49
4. Estimation of the Confirmatory Factor Model 55
Unweighted Least Squares 57
Scale Dependency 57
Generalized Least-Squares and Maximum Likelihood 58
Practical Considerations 60
5. Assessment of Fit in the Confirmatory Factor Model 61
Examining Values of the Parameters 62
Variances and Covariances of the Estimates 63
Chi-Square Goodness-of-Fit Tests 63
Nested Models and Difference of Chi-Square Tests 65
Specification Searches 68
Standardization 77
6. Conclusions 79
Appendix I Correlations and Standard Deviations from Wheaton/Hennepin Sample 82
Appendix II Software to Estimate the Confirmatory Factor Model (CFM) 82
Notes 83
References 86
About the Author 88
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