Factor analysis and related methods:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Hillsdale, New Jersey ; London
Lawrence Erlbaum Associates, Publishers
1985
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | x, 259 Seiten Diagramme |
| ISBN: | 0898593883 |
Staff View
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| 245 | 1 | 0 | |a Factor analysis and related methods |c Roderick P. McDonald, Macquarie University (New South Wales, Australia) |
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Record in the Search Index
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| adam_text | Contents
Preface ix
1. Introduction 1
1.1 Aims of the Book 1
1.2 Review of Basic Concepts 3
1.3 Multiple Regression Theory: The Foundation of Factor Analysis 14
1.4 Some Basic Multivariate Hypotheses 20
1.5 The Key Concepts of Common Factor Analysis 28
1.6 Mathematical Notes on Chapter 1 41
2. Exploratory Common Factor Analysis 50
2.1 The Parameters of the Common Factor Model 50
2.2 Estimation 52
2.3 Component Theory, Image Theory, Approximate Methods, and
Heywood Cases 62
2.4 Devices for Approximating Simple Structure 81
2.5 Related Methods 88
2.6 Mathematical Notes on Chapter 2 93
3. The Analysis of Covariance Structures: Confirmatory Factor
Analysis and Pattern Hypotheses 96
3.1 Introduction 96
3.2 Confirmatory Factor Analysis 99
v
vi CONTENTS
3.3 Pattern Hypotheses and Parallel Tests 107
3.4 Mathematical Notes on Chapter 3 110
4. Models for Linear Structural Relations 113
4.1 Causal Relations and Causal Modeling 113
4.2 McArdle s Model for Linear Structural Relations 127
4.3 Mathematical Notes on Chapter 4 157
5. The Problem of Factor Scores 156
5.1 Factor Analysis as a Test Construction Device 156
5.2 The Estimation of Common Factors 157
5.3 The Indeterminacy of Common Factors 165
5.4 Mathematical Notes on Chapter 5 168
6. Problems of Relationship Between Factor Analyses 171
6.1 The Comparison of Separate Analyses 171
6.2 Simultaneous Factor Analysis in Several Populations 780
6.3 Repeated Measures Designs 188
7. Item Response Theory 198
7.1 The Problem of Binary (Dichotomous) Data 198
7.2 Item Response Theory—Latent Trait Theory 202
7.3 Factor Analysis and Test Theory 274
8. Summary 223
8.1 Introduction 223
8.2 Exploratory Common Factor Analysis 225
8.3 The Analysis of Covariance Structures 227
8.4 Models for Linear Structural Relations 227
8.5 The Problem of Factor Scores 229
8.6 Problems of Relationship Between Factor Analyses 230
8.7 Item Response Theory 237
Appendix—Some Matrix Algebra 232
A.1 Matrices, Vectors, Scalars 232
A.2 Matrix Equalities, Sums and Differences 234
CONTENTS Vii
A.3 Multiplication—Length of a Vector 235
A.4 The Trace of a Matrix 238
A.5 Special Matrices 240
A.6 The Inverse of a Matrix 243
A.7 Determinants 244
A.8 Partitioned Matrices 245
A.9 Expected Values 246
References 249
Author Index 253
Subject Index 255
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| discipline | Soziologie Psychologie Mathematik Wirtschaftswissenschaften |
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| id | DE-604.BV000254275 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:11:12Z |
| institution | BVB |
| isbn | 0898593883 |
| language | English |
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| physical | x, 259 Seiten Diagramme |
| publishDate | 1985 |
| publishDateSearch | 1985 |
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| record_format | marc |
| spelling | McDonald, Roderick P. 1928-2011 Verfasser (DE-588)170027120 aut Factor analysis and related methods Roderick P. McDonald, Macquarie University (New South Wales, Australia) Hillsdale, New Jersey ; London Lawrence Erlbaum Associates, Publishers 1985 x, 259 Seiten Diagramme txt rdacontent n rdamedia nc rdacarrier Faktorenanalyse (DE-588)4016338-6 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Faktorenanalyse (DE-588)4016338-6 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000153555&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | McDonald, Roderick P. 1928-2011 Factor analysis and related methods Faktorenanalyse (DE-588)4016338-6 gnd |
| subject_GND | (DE-588)4016338-6 (DE-588)4151278-9 |
| title | Factor analysis and related methods |
| title_auth | Factor analysis and related methods |
| title_exact_search | Factor analysis and related methods |
| title_full | Factor analysis and related methods Roderick P. McDonald, Macquarie University (New South Wales, Australia) |
| title_fullStr | Factor analysis and related methods Roderick P. McDonald, Macquarie University (New South Wales, Australia) |
| title_full_unstemmed | Factor analysis and related methods Roderick P. McDonald, Macquarie University (New South Wales, Australia) |
| title_short | Factor analysis and related methods |
| title_sort | factor analysis and related methods |
| topic | Faktorenanalyse (DE-588)4016338-6 gnd |
| topic_facet | Faktorenanalyse Einführung |
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