| Description |
xx, 487 pages : illustrations ; 25 cm |
| Contents |
Machine derived contents note: Preface to Third Edition -- Preface to the First and Second Editions -- List of Illustrations -- Guide to Notation -- Part I - Foundations of Factor Analysis -- 1. Introduction -- 1.1. Brief History of Factor Analysis -- 1.2. Applications of Factor Analysis -- 1.3. Scientific Explanation and Choice -- 2. Factor Analysis Model -- 2.1. Introduction -- 2.2. Basic Statistics -- 2.3. Linear Models -- 2.4. Composition of Variance -- 2.5. Factor Patterns and Structures -- 2.6. Underlying Correlations -- 2.7. Statistical Fit of the Factor Model -- 2.8. Indeterminacy of Factor Solutions -- 2.9. Factor Model in Matrix Notation -- 3. Matrix Concepts Essential to Factor Analysis -- 3.1. Introduction -- 3.2. Basic Concepts of Determinants and Matrices -- 3.3. Solution of Systems of Linear Equations -- 3.4. Calculation of the Inverse of a Matrix -- 4. Geometric Concepts Essential to Factor Analysis -- 4.1. Introduction -- 4.2. Geometry of N Dimensions -- 4.3. Cartesian Coordinate System -- 4.4. Linear Dependence -- 4.5. Distance Formulas in Rectangular Coordinates -- 4.6. Orthogonal Transformations -- 4.7. Angular Separation between Two Lines -- 4.8. Distance and Angle in General Cartesian Coordinates -- 4.9. Geometric Interpretation of Correlation -- 4. 10. Common-Factor Space -- 5. The Problem of Communality -- 5.1. Introduction -- 5.2. Determination of the Common-Factor Space -- 5.3. Conditions for Reduced Rank of Correlation Matrix -- 5.4. Determination of Communality from Approximate Rank -- 5.5. Theoretical Solution for Communality -- 5.6. Estimation of Communality -- 5.7. Direct Factor Solution -- 6. Properties of Different Factor Methods -- 6.1. Introduction -- 6.2. Criteria for Choice of Factor Methods -- 6.3. Methods Requiring Estimates of Communalities -- 6.4. Methods Requiring Estimate of Number of Common Factors -- 6.5. Derived Factor Solutions -- 6.6. Summary of Factor Methods -- Part II - Direct Factor Analysis Methods -- 7. Early Factor Models and Methods -- 7.1. Introduction -- 7.2. Two-Factor Method -- 7.3. The Heywood Case -- 7.4. Grouping of Variables -- 7.5. Bi-Factor Method -- 7.6. Illustrative Example -- 8. Principal-factor and Related Methods -- 8.1. Introduction -- 8.2. Component Analysis -- 8.3. Principal-Factor Methods -- 8.4. Additional Theory -- 8.5. Outline of Computer Program -- 8.6. Illustrative Examples -- 8.7. Canonical Form -- 8.8. Centroid Method -- 9. Minres Method -- 9.1. Introduction -- 9.2. Formulation of the Minres Method -- 9.3. Minres Procedure -- 9.4. Additional Theory -- 9.5. Test of Significance for the Number of Factors -- 9.6. Computing Procedures -- 9.7. Illustrative Examples -- 10. Maximum-likelihood Method -- 10.1. Introduction -- 10.2. Statistical Estimation -- 10.3. Maximum-Likelihood Estimates of Factor Loadings -- 10.4. Test of Significance for the Number of Factors -- 10.5. Computing Procedures -- 10.6. Numerical Illustrations -- 11. Other Direct Methods -- 11.1. Introduction -- 11.2. Canonical Factor Analysis -- 11.3. Image Factor Analysis -- 11.4. Alpha Factor Analysis -- 11.5. Multiple-Group Method -- Part III - Derived Factors Solutions -- 12. Subjective Basis for Multiple-Factor Solutions -- 12.1. Introduction -- 12.2. Orthogonal Multiple-Factor Solution -- 12.3. Geometric Basis for an Oblique Solution -- 12.4. Oblique Primary-Factor Solution -- 12.5. Oblique Reference-Axes Solution -- 12.6. Relationship between Two Types of Oblique Solutions -- 13. Objective Orthogonal Multiple-Factor Solutions -- 13.1. Introduction -- 13.2. Rationale for Analytic Methods -- 13.3. Quartimax Criterion -- 13.4. Varimax Criterion -- 13.5. Orthomax Criteria -- 14. Objective Oblique Multiple-Factor Solution -- 14.1. Introduction -- 14.2. Oblimax Criterion -- 14.3. Quartimin Criterion -- 14.4. Oblimin Methods -- 14.5. Direct Oblimin -- 14.6. Orthoblique Method -- 15. Congruent and Prescribed Factor Solutions -- 15.1. Introduction -- 15.2. Relationship between Two Known Solutions -- 15.3. Measuring Factor Congruence -- 15.4. Matching Factor Solutions -- 15.5. Fitting a Prescribed Factor Model -- Part IV - Factor Measurements -- 16. Measurement of Factors -- 16.1. Introduction -- 16.2. Direct Solution versus Estimation -- 16.3. Measurement of Principal Components -- 16.4. Estimation by Regression -- 16.5. Estimation by Theoretical Model -- 16.6. Estimation by Minimizing Unique Factors -- 16.7. Estimation by Ideal Variables -- 16.8. Comparison of Factor Estimation Methods -- Part V - Problems and Exercises -- Problems -- Answers -- Appendix -- Statistical Tables -- Bibliography -- Author Index -- Subject Index -- Problem Index |
| Analysis |
Factor analysis |
| Notes |
Author and problem indexes |
|
Bibliography p. 447-474 |
| Bibliography |
Includes bibliographical references (pages 447-474) and indexes |
| Subject |
Factor analysis.
|
| LC no. |
75022267 |
| ISBN |
0226316521 |
|
