# Multivariate Data Analysis Chapter 11 - Structural Equation by UtR7cvEB

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```									Multivariate Data Analysis
Chapter 11 - Structural Equation
Modeling

MIS 6093 Statistical Method
Instructor: Dr. Ahmad Syamil
Chapter 11

   What Is Structural Equation Modeling?
   Accommodating Multiple Interrelated
Dependence Relationships
   Incorporating Variables That We Do Not
Measure Directly
   Improving Statistical Estimation
   Representing Theoretical Concepts
   Specifying Measurement Error
Chapter 11

   A Simple Example of SEM
   The Research Question
   Setting Up the Structural Equation Model for Path
Analysis
   An Application of Path Analysis
   Summary
Chapter 11

   The Role of Theory in Structural Equation
Modeling

   Developing a Modeling Strategy
   Confirmatory Modeling Strategy
   Competing Models Strategy
   Model Development Strategy
Chapter 11
Stages in Structural Equation Modeling
   Stage 1: Developing a Theoretically Based
Model
   Stage 2: Constructing a Path Diagram of Causal
Relationships
   Elements of a Path Diagram
   Examples of Path Diagrams
   Basic Terminology
   Assumptions of Path Diagrams
Chapter 11
Stages in Structural Equation Modeling Cont.
   Stage 3: Converting the Path Diagram into a Set of Structural
Equations and
Specifying the Measurement Model
 Structural Model

 Measurement Model
   Correspondence to Factor Analysis
   Specifying the Measurement Model
   Determining the Number of Indicators
   Accounting For Construct Reliability
   Empirically Estimating Reliabilities
   Specifying the Reliabilities
  Single-item Measures
  Use of Validated Scales or Measures
  Two-stage Analysis
  Methods of Specifying the Reliability
   Correlations Among Constructs and Indicators
Chapter 11
Stages in Structural Equation Modeling Cont.
   Stage 4: Choosing the Input Matrix Type and Estimating the Proposed Model
   Inputting Data
   Assumptions
   Missing Data
   Covariances Versus Correlations
   Types of Correlations or Covariances Used
   Sample Size
   Model Misspecification
   Model Size
   Departures From Normality
   Estimation Procedure
   Summary
   Model Estimation
   Estimation Technique
   Estimation Processes
   Direct Estimation
   Bootstrapping
   Simulation
   Jackknifing
   Computer Programs
   Solving the "Not Positive Definite" Problem
Chapter 11
Stages in Structural Equation Modeling Cont.

   Stage 5: Assessing the Identification of the
Structural Model
   Degrees of Freedom
   Rules For Identification
   Diagnosing Identification Problems
   Sources and Remedies of Identification Problems
Chapter 11
Stages in Structural Equation Modeling Cont.

   Stage 6: Evaluating Goodness-of-Fit Criteria
   Offending Estimates
   Overall Model Fit
   Measurement Model Fit
   Composite Reliability
   Variance Extracted
   Structural Model Fit
   Comparison of Competing or Nested Models
Chapter 11
Stages in Structural Equation Modeling Cont.

   Stage 7: Interpreting and Modifying the Model
   Standardized Versus Unstandardized Solutions
   Model Respecification
   A Process of Model Respecification
   Empirical Indicators of Possible Respecification

   A Recap of the Seven-Step Process
Chapter 11

   Two Illustrations of Structural Equation
Modeling
Chapter 11
A Confirmatory Factor Analysis
   Stage 1: Developing a Theoretically Based Model
   Stage 2: Constructing a Path Diagram of Causal
Relationships
   Stage 3: Converting the Path Diagram into a Set of
Structural Equations and Specifying the
Measurement Model
   Stage 4: Choosing Input Matrix Type and Obtaining
Model Estimates
   Inputting Data
   Model Estimation
   Stage 5: Assessing the Identification of the Structural
Model
Chapter 11
A Confirmatory Factor Analysis Cont.
   Step 6: Evaluating Goodness-of-Fit Criteria
   Offending Estimates
   Model Respecification
   Overall Model Fit: Revised Model
   Absolute Fit Measures
   Incremental Fit Measures
   Parsimonious Fit Measures
   Measurement Model Fit
   Summary
Chapter 11
A Confirmatory Factor Analysis Cont.
   Stage 7: Interpreting and Modifying the Model
   Interpretation
   Model Respecification

   Higher-Order Factor Analysis Models

   Summary
Chapter 11
Estimating a Path Model with Structural Equation Modeling

   Stage 1: Developing a Theoretically Based Model
   Stage 2: Constructing a Path Diagram of the Causal
Relationships
   Stage 3: Converting the Path Diagram into Structural
Equations and Specifying the Measurement
Model
   Specifying Structural Equations
   Specifying the Measurement Model
   Correlations Among Constructs and Indicators
Chapter 11
Estimating a Path Model with Structural Equation Modeling
Cont.
   Stage 4: Choosing Input Matrix Type and
Estimating Model
   Inputting the Data
   Model Estimation

   Stage 5: Assessing the Identification of the
Structural Model
Chapter 11
Estimating a Path Model with Structural Equation Modeling
Cont.
   Stage 6: Evaluating Goodness-of-Fit Criteria
   Offending Estimates
   Overall Model Fit
   Absolute Fit Measures
   Incremental Fit Measures
   Parsimonious Fit Indices
   Measurement Model Fit
   Structural Model Fit
   Competing Models
Chapter 11
Estimating a Path Model with Structural Equation Modeling
Cont.
   Stage 7: Interpreting and Modifying the Model
   Interpretation
   Model Respecification
   Normalized Residual Analysis
   Modification Indices
   Overview of the Seven Step Process
Chapter 11

   Summary

   Questions

……to appendix
Appendix 11A - A Mathematical
Representation in LISREL Notation
   LISREL Notation
   From a Path Diagram to LISREL Notation
   Constructing Structural Equations from the Path Diagram
   Denoting the Correspondence of Indicators and Constructs
   Specifying the LISREL Structural and Measurement Model
Equations
   Specifying the Structural Equation Correlations
   Measurement Model (Indicator) Correlations
   Summary
   References
Appendix 11B - Overall Goodness-of-Fit
Measures for Structural Equation Modeling Cont.

   Measures of Absolute Fit
   Likelihood-Ratio Chi-Square Statistic
   Noncentrality and Scaled Noncentrality
Parameters
   Goodness-of-Fit Index
   Root Mean Square Residual
   Root Mean Square Error of Approximation
   Expected Cross-Validation Index
   Cross-Validation Index
Appendix 11B - Overall Goodness-of-Fit
Measures for Structural Equation Modeling Cont.
   Incremental Fit Measures
   Adjusted Goodness-of-Fit Index
   Tucker-Lewis Index
   Normed Fit Index
   Other Incremental Fit Measures
   Parsimonious Fit Measures
   Parsimonious Normed Fit Index
   Parsimonious Goodness-of-Fit Index
   Normed Chi-Square
   Akaike Information Criterion
Appendix 11B - Overall Goodness-of-Fit
Measures for Structural Equation Modeling Cont.

   A Review of Structural Model Goodness-of-
Fit Measures
   Summary
   References
   Annotated Articles

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