| Description |
1 online resource |
| Series |
Psychology Press & Routledge Classic Editions |
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Psychology Press and Routledge classic editions.
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| Contents |
Cover; Title Page; Copyright Page; Dedication; Table of Contents; Preface; Preface to the First Edition; Introduction to the Classic Edition; 1 Introduction; 1.1 Science and factor analysis; 1.2 Elementary procedures for factoring; 1.3 Examples; 2 Basic Factor Models; 2.1 Multivariate linear models and factor analysis; 2.2 The full component model; 2.3 The common factor model; 2.4 Correlated and uncorrelated factor models; 2.5 Which factor-analytic model?; 3 Matrix Algebra and Factor Analysis; 3.1 Matrix definitions and notation; 3.2 Matrix operations |
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3.3 Definitional equations in matrix algebra form3.4 The full component model expressed in matrix algebra; 3.5 The common factor model in matrix algebra; 3.6 Uncorrelated factor models and matrix algebra; 4 Geometric Representation of Factor Models; 4.1 Representing variables and factors geometrically; 4.2 The uncorrelated (orthogonal) component model; 4.3 The correlated (oblique) component model; 4.4 Common factor models; 5 Diagonal and Multiple-group Analysis; 5.1 Diagonal analysis; 5.2 Multiple-group factor analysis; 5.3 Applications of diagonal and multiple-group factor analysis |
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6 Principal Factor Solutions6.1 Characteristics of principal factor methods; 6.2 Principal components; 6.3 Communality estimation and principal axes; 6.4 Image analysis; 6.5 Other related procedures; 6.6 Nonlinear and nonmetric factor analysis; 6.7 Applications for principal factors; 6.8 A comparison of factor extraction procedures; 7 Confirmatory Maximum Likelihood Solutions; 7.1 The maximum likelihood concept; 7.2 Confirmatory maximum likelihood factor analysis; 7.3 Applications; 7.4 Hypothesis testing by maximum likelihood and multiple-group procedures; 8 Determining the Number of Factors |
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8.1 Adequacy of the fit of the model to the data8.2 Statistical approaches to the number of factors; 8.3 Mathematical approaches to the number of factors; 8.4 Extracting the nontrivial factors; 8.5 The search for the proper number of factors; 9 Rotation and Interpretation of Factors; 9.1 Principles for guiding the rotation of factors; 9.2 Orthogonal rotation for simple structure; 9.3 Oblique analytic rotation for simple structure; 9.4 Comparing alternative solutions; 9.5 Interpreting factors; 10 Rotation; 10.1 Algebraic principles of rotation; 10.2 Rotating visually |
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10.3 Orthoblique solutions10.4 Nonsimple structure rotation; 10.5 Extension analysis; 11 Higher-order Factors; 11.1 Interpretation of higher-order factors; 11.2 Extracting higher-order factors; 11.3 Relationship of variables to higher-order factors; 11.4 Usefulness of higher-order factors; 12 Factor Scores; 12.1 Procedures for computing factor scores; 12.2 Approximation procedures for factor scores; 12.3 Cluster analysis of individuals: typological scoring; 12.4 Evaluating the factor scores; 12.5 Selecting among procedures; 13 Relating Factors Across Studies |
| Summary |
Comprehensive and comprehensible, this classic text covers the basic and advanced topics essential for using factor analysis as a scientific tool in psychology, education, sociology, and related areas. Emphasizing the usefulness of the techniques, it presents sufficient mathematical background for understanding and applying its use. This includes the theory as well as the empirical evaluations. The overall goal is to show readers how to use factor analysis in their substantive research by highlighting when the differences in mathematical procedures have a major impact on the substantive conclu |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Vendor-supplied metadata |
| Subject |
Factor analysis.
|
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Psychology -- Mathematical models.
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Social sciences -- Mathematical models
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Factor Analysis, Statistical
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MATHEMATICS -- Applied.
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MATHEMATICS -- Probability & Statistics -- General.
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Factor analysis
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Psychology -- Mathematical models
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Social sciences -- Mathematical models
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| Form |
Electronic book
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| ISBN |
9781317564898 |
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1317564898 |
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