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Tables of Contents for Factor Analysis
Chapter/Section Title
Page #
Page Count
Preface
xiii
Preface to the First Edition
xv
Introduction
1
13
Science and Factor Analysis
1
4
Elementary Procedures for Factoring
5
4
Examples
9
5
Basic Factor Models
14
23
Multivariate Linear Models and Factor Analysis
14
6
The Full Component Model
20
6
The Common Factor Model
26
7
Correlated and Uncorrelated Factor Models
33
1
Which Factor-Analytic Model?
34
3
Matrix Algebra and Factor Analysis
37
20
Matrix Definitions and Notation
37
4
Matrix Operations
41
7
Definitional Equations in Matrix Algebra Form
48
3
The Full Component Model Expressed in Matrix Algebra
51
2
The Common Factor Model in Matrix Algebra
53
2
Uncorrelated Factor Models and Matrix Algebra
55
2
Geometric Representation of Factor Models
57
16
Representing Variables and Factors Geometrically
58
9
The Uncorrelated (Orthogonal) Component Model
67
2
The Correlated (Oblique) Component Model
69
3
Common Factor Models
72
1
Diagonal and Multiple-Group Analysis
73
21
Diagonal Analysis
74
6
Multiple-Group Factor Analysis
80
8
Applications of Diagonal and Multiple-Group Factor Analysis
88
6
Principal Factor Solutions
94
33
Characteristics of Principal Factor Methods
95
4
Principal Components
99
3
Communality Estimation and Principal Axes
102
10
Image Analysis
112
3
Other Related Procedures
115
3
Nonlinear and Nonmetric Factor Analysis
118
2
Applications for Principal Factors
120
1
A Comparison of Factor Extraction Procedures
121
6
Confirmatory Maximum Likelihood Solutions
127
15
The Maximum Likelihood Concept
127
2
Confirmatory Maximum Likelihood Factor Analysis
129
4
Applications
133
7
Hypothesis Testing by Maximum Likelihood and Multiple-Group Procedures
140
2
Determining the Number of Factors
142
33
Adequacy of the Fit of the Model to the Data
143
5
Statistical Approaches to the Number of Factors
148
8
Mathematical Approaches to the Number of Factors
156
8
Extracting the Nontrivial Factors
164
7
The Search for the Proper Number of Factors
171
4
Rotation and Interpretation of Factors
175
38
Principles For Guiding the Rotation of Factors
176
6
Orthogonal Rotation for Simple Structure
182
6
Oblique Analytic Rotation for Simple Structure
188
9
Comparing Alternative Solutions
197
9
Interpreting Factors
206
7
Rotation
213
26
Algebraic Principles of Rotation
213
5
Rotating Visually
218
9
Orthoblique Solutions
227
4
Nonsimple Structure Rotation
231
5
Extension Analysis
236
3
Higher-Order Factors
239
18
Interpretation of Higher-Order Factors
240
2
Extracting Higher-Order Factors
242
3
Relationship of Variables to Higher-Order Factors
245
9
Usefulness of Higher-Order Factors
254
3
Factor Scores
257
20
Procedures For Computing Factor Scores
258
8
Approximation Procedures For Factor Scores
266
4
Cluster Analysis of Individuals: Typological Scoring
270
2
Evaluating the Factor Scores
272
3
Selecting Among Procedures
275
2
Relating Factors Across Studies
277
14
Information Useful in Relating Factors
278
2
Same Individuals and Variables but Different Procedures
280
1
Same Individuals but Different Variables
281
1
Same Variables but Different Individuals (Rvv, Svf, and Wvf Available)
282
2
Same Variables But Different Individuals (Rvv, Svf, and Wvf Unavailable)
284
5
Different Variables and Different Individuals
289
1
Matching Factors
289
2
Data Transformations and Indices of Association
291
19
Noncontinuous Data
291
6
Effects of Transformations
297
6
Indices of Association
303
7
Two- and Three-Mode Factor Analysis
310
18
Two-Mode Factor Analysis
311
8
Three-Mode Factor Analysis
319
9
The Replication and Invariance of Factors
328
22
The Replication of Factors Across Random Samples of Individuals
328
6
The Invariance of Factors
334
16
Factor Analysis as a Research Technique
350
19
Operationalization of Constructs
350
9
Factor Analysis of Independent and Dependent Variables
359
6
Using Factor Analysis to Suggest New Leads for Future Research
365
2
Other Uses of Factor Analysis
367
1
Concluding Note
368
1
Epilogue
369
14
Criticisms of Present Factor-Analytic Practices
369
3
Recommended Procedures for Selected Research Designs
372
7
The Future of Factor Analysis
379
4
Appendix A Data for Examples
383
4
Appendix B.1 Computer Programs for Factor Analysis
387
2
Appendix B.2 Accuracy of Computer Processing
389
6
References
395
18
Author Index
413
6
Subject Index
419