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Cover; Title; Copyright; Contents; Dedication; Preface; 1. Introduction; 1.1 Aims of the Book; 1.2 Review of Basic Concepts; 1.3 Multiple Regression Theory: The Foundation of Factor Analysis; 1.4 Some Basic Multivariate Hypotheses; 1.5 The Key Concepts of Common Factor Analysis; 1.6 Mathematical Notes on Chapter 1; 2. Exploratory Common Factor Analysis; 2.1 The Parameters of the Common Factor Model; 2.2 Estimation; 2.3 Component Theory, Image Theory, Approximate Methods, and Heywood Cases; 2.4 Devices for Approximating Simple Structure; 2.5 Related Methods; 2.6 Mathematical Notes on Chapter 2.
3. The Analysis of Covariance Structures: Confirmatory Factor Analysis and Pattern Hypotheses3.1 Introduction; 3.2 Confirmatory Factor Analysis; 3.3 Pattern Hypotheses and Parallel Tests; 3.4 Mathematical Notes on Chapter 3; 4. Models for Linear Structural Relations; 4.1 Causal Relations and Causal Modeling; 4.2 McArdle's Model for Linear Structural Relations; 4.3 Mathematical Notes on Chapter 4; 5. The Problem of Factor Scores; 5.1 Factor Analysis as a Test Construction Device; 5.2 The Estimation of Common Factors; 5.3 The Indeterminacy of Common Factors; 5.4 Mathematical Notes on Chapter 5.
6. Problems of Relationship Between Factor Analyses6.1 The Comparison of Separate Analyses; 6.2 Simultaneous Factor Analysis in Several Populations; 6.3 Repeated-Measures Designs; 7. Item Response Theory; 7.1 The Problem of Binary (Dichotomous) Data; 7.2 Item Response Theory-Latent Trait Theory; 7.3 Factor Analysis and Test Theory; 8. Summary; 8.1 Introduction; 8.2 Exploratory Common Factor Analysis; 8.3 The Analysis of Covariance Structures; 8.4 Models for Linear Structural Relations; 8.5 The Problem of Factor Scores; 8.6 Problems of Relationship Between Factor Analyses.
8.7 Item Response TheoryAppendix-Some Matrix Algebra; A.1 Matrices, Vectors, Scalars; A.2 Matrix Equalities, Sums and Differences; A.3 Multiplication-Length of a Vector; A.4 The Trace of a Matrix; A.5 Special Matrices; A.6 The Inverse of a Matrix; A.7 Determinants; A.8 Partitioned Matrices; A.9 Expected Values; References; Author Index; Subject Index.
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