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Tables of Contents for Latent Variable Models

Chapter/Section Title

Page #

Page Count

Preface

ix

Path models in factor, path, and structural equation analysis

1

34

Path diagrams

2

6

Path analysis

8

8

Factor models

16

7

Structural equations

23

1

Original and standardized variables

24

4

Differences from some related topics

28

2

Notes

30

2

Exercises

32

3

Fitting path models

35

52

Iterative solution of path equations

35

5

Matrix formulation of path models

40

4

Full-fledged model-fitting programs

44

8

Fit functions

52

9

Hierarchical χ2 tests

61

6

Descriptive criteria of model fits

67

3

The power to reject an incorrect model

70

3

Identification

73

2

Missing data

75

3

Correlations versus covariances in model fitting

78

2

Notes

80

4

Exercises

84

3

Fitting path and structural models to data from a single group on a single occasion

87

33

Structural and measurement models

87

5

Confirmatory factor analysis

92

3

Some psychometric applications of path and structural models

95

7

Structural models--controlling extraneous variables

102

4

Models with reciprocal influences and correlated errors

106

5

Nonlinear effects among latent variables

111

5

Notes

116

1

Exercises

117

3

Fitting models involving repeated measures or multiple groups

120

32

Models of events over time

121

9

Models comparing different groups

130

9

Fitting models to means as well as covariances

139

8

The versatility of multiple-group designs

147

1

A concluding comment

148

1

Notes

149

1

Exercises

150

2

Exploratory factor analysis--basics

152

35

Factor extraction

154

1

Estimating communalities

154

3

Determining the number of factors

157

12

Rotation

169

8

An example: Thurstone's box problem

177

4

Factor analysis using packaged programs--SPSS and SAS

181

2

Notes

183

2

Exercises

185

2

Exploratory factor analysis--elaborations

187

26

Rescalings--Alpha and Canonical factors

187

3

Alternative stopping criteria

190

3

Alternative rotation methods

193

3

Estimating factor scores

196

5

Higher order factors

201

5

Nonlinear factor analysis

206

4

Notes

210

1

Exercises

211

2

Issues in the application of latent variable analysis

213

25

Exploratory modification of a model

213

4

Alternative models

217

5

Can path diagrams be constructed automatically?

222

2

Modes of latent variable analysis

224

6

Criticisms of latent variable modeling

230

4

Notes

234

2

Exercises

236

2

Appendices

238

27

A. Simple matrix operations

238

7

B. Derivation of matrix version of path equations

245

2

C. LISREL matrices and examples

247

4

D. Various goodness-of-fit indices

251

7

E. Phantom variables

258

2

F. Data matrix for Thurstone's box problem

260

2

G. Table of Chi Square

262

1

H. Noncentral Chi Square for estimating power

263

1

I. Power of a test of poor fit and sample sizes needed for powers of .80 and .90

264

1

Answers to exercises

265

11

References

276

33

Index

309