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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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