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Modern factor analysis:

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Bibliographische Detailangaben
Beteilige Person:	Harman, Harry H. 1913- (VerfasserIn)
Format:	Buch
Sprache:	Deutsch
Veröffentlicht:	Chicago ; London Univ. of Chicago Press 1970
Ausgabe:	2. ed., rev., 3. impr.
Schlagwörter:	Faktorenanalyse Psychologie Einführung
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006119725&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Beschreibung:	Literaturverz. S. 439 - 465
Umfang:	XX, 474 S. graph. Darst.
ISBN:	0226316513

Internformat

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Datensatz im Suchindex

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adam_text	Contents List of Illustrations xix Guide to Notation xx Part I Foundations of Factor Analysis 1. Introduction 3 1.1. Brief History of Factor Analysis 3 1.2. Applications of Factor Analysis 6 1.3. Scientific Explanation and Choice 8 2. Factor Analysis Model 11 2.1. Introduction 11 2.2. Basic Statistics 11 2.3. Linear Models 14 2.4. Composition of Variance 16 2.5. Factor Patterns and Structures 19 2.6. Statistical Fit of the Factor Model 21 2.7. Indeterminacy of Factor Solutions 23 2.8. The Factor Model in Matrix Notation 24 3. Matrix Concepts Essential to Factor Analysis 29 3.1. Introduction 29 3.2. Basic Concepts of Determinants and Matrices 30 3.3. Solution of Systems of Linear Equations: Method of Substitution 37 3.4. Solution of Systems of Linear Equations: Square Root Method 39 3.5. Calculation of the Inverse of a Matrix 42 xiii CONTENTS 4. Geometric Concepts Essential to Factor Analysis 45 4.1. Introduction 45 4.2. Geometry of N Dimensions 46 4.3. Cartesian Coordinate System 47 4.4. Linear Dependence 47 4.5. Distance Formulas in Rectangular Coordinates 52 4.6. Orthogonal Transformations 54 4.7. Angular Separation between Two Lines 55 4.8. Distance and Angle in General Cartesian Coordinates 58 ¦ 4.9. Geometric Interpretation of Correlation 60 4.10. Subspaces Employed in Factor Analysis 63 5. The Problem of Communality 68 5.1. Introduction 68 5.2. Determination of the Common-Factor Space 69 5.3. Conditions for Reduced Rank of Correlation Matrix 72 5.4. Determination of Communality from Approximate Rank 77 5.5. Theoretical Solution for Communality 81 5.6. Arbitrary Approximations to Communality 83 5.7. Complete Approximations to Communality 84 5.8. Examples of Approximations to Communality 88 5.9. Direct Factor Solution 90 6. Properties of Different Types of Factor Solutions 93 6.1. Introduction 93 6.2. Criteria for Choice of Factor Solutions 94 6.3. Solutions Requiring Estimates of Communalities 99 6.4. Solutions Requiring Estimates of Number of Common Factors 103 6.5. Multiple-Factor Solutions 106 6.6. Summary of Factor Solutions 107 Part II Direct Solutions 7. Simple Factor Models 113 7.1. Introduction 113 7.2. Two-Factor Solution 114 7.3. The Hey wood Case 117 7.4. Grouping of Variables 118 7.5. Bi-Factor Solution 121 7.6. Illustrative Example 124 xiv CONTENTS 8. Principal-Factor and Related Solutions 135 8.1. Introduction 135 8.2. Component Analysis 136 8.3. Principal-Factor Method 137 8.4. Additional Theory 143 8.5. Computing Procedures With Desk Calculator 146 8.6. Outline of Electronic Computer Program 155 8.7. Illustrative Examples 161 8.8. Canonical Form 169 8.9. Centroid Method 171 9. Minres Solution 187 9.1. Introduction 187 9.2. Formulation of the Minres Solution 188 9.3. Minres Method 190 9.4. Additional Theory 192 9.5. Test of Significance for the Number of Factors 196 9.6. Computing Procedures 199 9.7. Illustrative Examples 202 10. Maximum-Likelihood Solution 211 10.1. Introduction 211 10.2. Statistical Estimation 211 10.3. Maximum-Likelihood Estimates of Factor Loadings 214 10.4. Test of Significance for the Number of Factors 219 10.5. Computing Procedures 221 10.6. Numerical Illustrations 226 11. Multiple-Group Solution 233 11.1. Introduction 233 11.2. Concepts and Notation 233 11.3. The Oblique Solution 236 11.4. The Orthogonal Solution 239 11.5. Multiple-Group Factor Algorithm 241 11.6. Numerical Illustration 243 Part III Derived Solutions 12. Different Solutions in Common-factor Space 249 12.1. Introduction 249 12.2. Relationship between Two Known Solutions 250 12.3. Graphical Procedures for Orthogonal Multiple-Factor Solution 254 xv CONTENTS 12.4. Numerical Illustrations of Orthogonal Multiple-Factor Solutions 261 12.5. Other Problems of Relationships between Factor Solutions 268 13. Oblique Multiple-factor Solutions 273 13.1. Introduction 273 13.2. Geometric Basis for an Oblique Solution 274 13.3. Computing Procedures for Oblique Primary-Factor Solution 276 13.4. Oblique Reference Solution 285 13.5. Relationship between Two Types of Oblique Solutions 289 14. Analytical Methods for the Multiple-factor Solution: Orthogonal Case 293 14.1. Introduction 293 14.2. Rationale for Analytical Methods 294 14.3. Quartimax Method 298 14.4. Varimax Method 304 15. Analytical Methods for the Multiple-factor Solution: Oblique Case 314 15.1. Introduction 314 15.2. Oblimax Method 315 15.3. Quartimin Method 318 15.4. Oblimin Method 324 15.5. Direct Oblimin 334 Part IV Factor Measurements 16. Measurement of Factors 345 16.1. Introduction 345 16.2. Direct Solution versus Estimation 346 16.3. Measurement of Principal Components 348 16.4. Complete Estimation Method 350 16.5. Numerical Illustrations of Complete Estimation Method 354 16.6. Approximation Method 360 16.7. Short Method 362 16.8. Estimation by Minimizing Unique Factors 369 16.9. Factor Measurements by Ideal Variables 373 xvi CONTENTS Part V Problems and Exercises Problems 377 Answers 401 Appendix Statistical Tables 433 Bibliography 439 Index to Illustrative Examples 466 General Index 467 xvii
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title	Modern factor analysis
title_auth	Modern factor analysis
title_exact_search	Modern factor analysis
title_full	Modern factor analysis Harry H. Harman
title_fullStr	Modern factor analysis Harry H. Harman
title_full_unstemmed	Modern factor analysis Harry H. Harman
title_short	Modern factor analysis
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topic_facet	Faktorenanalyse Psychologie Einführung
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