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Confirmatory Factor Analysis for Applied Research, First Edition

Confirmatory Factor Analysis for Applied Research, First Edition by Timothy A. Brown
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1. Introduction
Uses of Confirmatory Factor Analysis
Psychometric Evaluation of Test Instruments
Construct Validation
Method Effects
Measurement Invariance Evaluation
Why a Book on CFA?
Coverage of the Book
Other Considerations
2. The Common Factor Model and Exploratory Factor Analysis
Overview of the Common Factor Model
Procedures of EFA
Factor Extraction
Factor Selection
Factor Rotation
Factor Scores
3. Introduction to CFA
Similarities and Differences of EFA and CFA
Common Factor Model
Standardized and Unstandardized Solutions
Indicator Cross-Loadings/Model Parsimony
Unique Variances
Model Comparison
Purposes and Advantages of CFA
Parameters of a CFA Model
Fundamental Equations of a CFA Model
CFA Model Identification
Scaling the Latent Variable
Statistical Identification
Guidelines for Model Identification
Estimation of CFA Model Parameters
Descriptive Goodness-of-Fit Indices
Absolute Fit
Parsimony Correction
Comparative Fit
Guidelines for Interpreting Goodness-of-Fit Indices
Appendix 3.1. Communalities, Model-Implied Correlations,
and Factor Correlations in EFA and CFA
Appendix 3.2. Obtaining a Solution for a Just-Identified
Factor Model
Appendix 3.3. Hand Calculation of FML for the Figure 3.8
Path Model
4. Specification and Interpretation of CFA Models
An Applied Example of a CFA Measurement Model
Model Specification
Substantive Justification
Defining the Metric of Latent Variables
Data Screening and Selection of the Fitting Function
Running the CFA Analysis
Model Evaluation
Overall Goodness of Fit
Localized Areas of Strain
Modification Indices
Unnecessary Parameters
Interpretability, Size, and Statistical Significance of
the Parameter Estimates
Interpretation and Calculation of CFA Model Parameter
CFA Models with Single Indicators
Reporting a CFA Study
Appendix 4.1. Model Identification Affects the
Standard Errors of the Parameter Estimates
Appendix 4.2. Goodness of Model Fit Does Not Ensure
Meaningful Parameter Estimates
Appendix 4.3. Example Report of the Two-Factor CFA
Model of Neuroticism and Extraversion
5. CFA Model Revision and Comparison
Goals of Model Respecification
Sources of Poor-Fitting CFA Solutions
Number of Factors
Indicators and Factor Loadings
Correlated Errors
Improper Solutions and Nonpositive Definite Matrices
EFA in the CFA Framework
Model Identification Revisited
Equivalent CFA Solutions
6. CFA of Multitrait-Multimethod Matrices
Correlated versus Random Measurement Error Revisited
The Multitrait-Multimethod Matrix
CFA Approaches to Analyzing the MTMM Matrix
Correlated Methods Models
Correlated Uniqueness Models
Advantages and Disadvantages of Correlated Methods
and Correlated Uniqueness Models
Other CFA Parameterizations of MTMM Data
Consequences of Not Modeling Method Variance and
Measurement Error
7. CFA with Equality Constraints, Multiple Groups, and Mean Structures
Overview of Equality Constraints
Equality Constraints within a Single Group
Congeneric, Tau-Equivalent, and Parallel Indicators
Longitudinal Measurement Invariance
CFA in Multiple Groups
Overview of Multiple-Groups Solutions
Multiple-Groups CFA
Selected Issues in Single- and Multiple-Groups CFA
Invariance Evaluation
MIMIC Models (CFA with Covariates)
Appendix 7.1. Reproduction of the Observed Variance-
Covariance Matrix with Tau-Equivalent Indicators of Auditory Memory
8. Other Types of CFA Models: Higher-Order Factor Analysis, Scale Reliability Evaluation, and Formative Indicators
Higher-Order Factor Analysis
Second-Order Factor Analysis
Schmid-Leiman Transformation
Scale Reliability Estimation
Point Estimation of Scale Reliability
Standard Error and Interval Estimation of Scale
Models with Formative Indicators
9. Data Issues in CFA: Missing, Non-Normal, and Categorical Data
CFA with Missing Data
Mechanisms of Missing Data
Conventional Approaches to Missing Data
Recommended Missing Data Strategies
CFA with Non-Normal or Categorical Data
Non-Normal, Continuous Data
Categorical Data
Other Potential Remedies for Indicator Non-Normality
10. Statistical Power and Sample Size
Satorra-Saris Method
Monte Carlo Approach
Summary and Future Directions in CFA
Appendix 10.1. Monte Carlo Simulation in Greater Depth:
Data Generation
Guilford Publications; Read online
Title: Confirmatory Factor Analysis for Applied Research, First Edition
Author: Timothy A. Brown
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