Table of Contents

 

 

 

PART I

CONCEPTS AND TOOLS

 

1

Introduction

3

 

The Book’s Website

3

 

Pedagogical Approach

4

 

Getting Ready to Learn About SEM

5

 

Characteristics of SEM

7

 

Widespread Enthusiasm, but with a Cautionary Tale

13

 

Family History and a Reminder About Context

15

 

Extended Latent Variable Families

16

 

Plan of the Book

17

 

Summary

18

2

Fundamental Concepts

19

 

Multiple Regression

19

 

Partial Correlation and Part Correlation

28

 

Other Bivariate Correlations

31

 

Logistic Regression

32

 

Statistical Tests

33

 

Bootstrapping

42

 

Summary

43

 

Recommended Readings

44

 

Exercises

45

3

Data Preparation

46

 

Forms of Input Data

46

 

Positive Definiteness

49

 

Data Screening

51

 

Selecting Good Measures and Reporting About Them

68

 

Summary

72

 

Recommended Readings

72

 

Exercises

73

4

Computer Tools

75

 

Ease of Use, Not Suspension of Judgment

75

 

Human-Computer Interaction

77

 

Core SEM Programs and Book Website Resources

77

 

Other Computer Tools

86

 

Summary

87

 

Recommended Readings

87

PART II

CORE TECHNIQUES

 

5

Specification

91

 

Steps of SEM

91

 

Model Diagram Symbols

95

 

Specification Concepts

96

 

Path Analysis Models

103

 

CFA Models

112

 

Structural Regression Models

118

 

Exploratory SEM

121

 

Summary

121

 

Recommended Readings

122

 

Exercises

122

6

Identification

124

 

General Requirements

124

 

Unique Estimates

130

 

Rule for Recursive Structural Models

132

 

Rules for Nonrecursive Structural Models

132

 

Rules for Standard CFA Models

137

 

Rules for Nonstandard CFA Models

138

 

Rules for SR Models

144

 

A Healthy Perspective on Identification

146

 

Empirical Underidentification

146

 

Managing Identification Problems

147

 

Summary

148

 

Recommended Readings

149

 

Exercises

149

Appendix 6.A

Evaluation of the Rank Condition

151

7

Estimation

154

 

Maximum Likelihood Estimation

154

 

Detailed Example

160

 

Brief Example with a Start Value Problem

172

 

Fitting Models to Correlation Matrices

175

 

Alternative Estimators

176

 

A Healthy Perspective on Estimation

182

 

Summary

182

 

Recommended Readings

183

 

Exercises

183

Appendix 7.A

Start Value Suggestions for Structural Models

185

Appendix 7.B

Effect Decomposition in Nonrecursive Models and the Equilibrium Assumption

186

Appendix 7.C

Corrected Proportions of Explained Variance for Nonrecursive Models

187

8

Hypothesis Testing

189

 

Eyes on the Prize

189

 

State of Practice, State of Mind

190

 

A Healthy Perspective on Fit Statistics

191

 

Types of Fit Statistics and “Golden Rules”

193

 

Model Chi-Square

199

 

Approximate Fit Indexes

204

 

Visual Summaries of Fit

209

 

Recommended Approach to Model Fit Evaluation

209

 

Detailed Example

210

 

Testing Hierarchical Models

214

 

Comparing Nonhierarchical Models

219

 

Power Analysis

222

 

Equivalent and Near-Equivalent Models

225

 

Summary

228

 

Recommended Readings

228

 

Exercises

229

9

Measurement Models and Confirmatory Factor Analysis

230

 

Naming and Reification Fallacies

230

 

Estimation of CFA Models

231

 

Detailed Example

233

 

Respecification of Measurement Models

240

 

Special Topics and Tests

241

 

Items as Indicators and Other Methods for Analyzing Items

244

 

Estimated Factor Scores

245

 

Equivalent CFA Models

245

 

Hierarchical CFA Models

248

 

Models for Multitrait-Multimethod Data

250

 

Measurement Invariance and Multiple-Sample CFA

251

 

Summary

261

 

Recommended Readings

262

 

Exercises

262

Appendix 9.A

Start Value Suggestions for Measurement Models

263

Appendix 9.B

Constraint Interaction in Measurement Models

264

10

Structural Regression Models

265

 

Analyzing SR Models

265

 

Estimation of SR Models

269

 

Detailed Example

270

 

Equivalent SR Models

276

 

Single Indicators in Partially Latent SR Models

276

 

Cause Indicators and Formative Measurement

280

 

Invariance Testing of SR Models

288

 

Reporting Results of SEM Analyses

289

 

Summary

293

 

Recommended Readings

293

 

Exercises

294

Appendix 10.A

Constraint Interaction in SR Models

295

PART III

ADVANCED TECHNIQUES, AVOIDING MISTAKES

 

11

Mean Structures and Latent Growth Models

299

 

Logic of Mean Structures

299

 

Identification of Mean Structures

303

 

Estimation of Mean Structures

304

 

Latent Growth Models

304

 

Structured Means in Measurement Models

316

 

MIMIC Models as an Alternative to Multiple-Sample Analysis

322

 

Summary

325

 

Recommended Readings

326

12

Interaction Effects and Multilevel SEM

327

 

Interaction Effects of Observed Variables

327

 

Interaction Effects in Path Models

331

 

Mediation and Moderation Together

333

 

Interactive Effects of Latent Variables

336

 

Estimation with the Kenny-Judd Method

337

 

Alternative Estimation Methods

340

 

Rationale of Multilevel Analysis

343

 

Basic Multilevel Techniques

345

 

Convergence of SEM and MLM

348

 

Multilevel SEM

350

 

Summary

354

 

Recommended Readings

354

13

How to Fool Yourself with SEM

356

 

Tripping at the Starling Line: Specification

356

 

Improper Care and Feeding: Data

359

 

Checking Critical Judgment at the Door: Analysis and Respecification

361

 

The Garden Path: Interpretation

363

 

Summary

366

 

Recommended Readings

366

 

Suggested Answers to Exercises

367

 

References

387

 

Author Index

405

 

Subject Index

411

 

About the Author

427