Structural Equation Modelling with Partial Least Squares Using Stata and R |
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Comment from the Stata technical groupStructural equation modeling (SEM) is a statistical framework that can model both observed and unobserved (latent) variables through complex relationships. While the traditional covariance-based SEM aims to find parameter estimates that minimize the distance between the observed and model-implied covariances of the observed variables, partial least-squares SEM (PLS-SEM) aims to find parameter estimates that maximize explained variance. Structural Equation Modelling with Partial Least Squares Using Stata and R, by Mehmet Mehmetoglu and Sergio Venturini, offers a comprehensive tutorial on conducting PLS-SEM and consistent PLS-SEM through the author’s open-source plssem package. The authors begin with theoretical introductions to PLS-SEM and various multivariate statistical prerequisites. The following chapters provide a step-by-step guide to conducting PLS-SEM in Stata, including model specification, estimation, assessment, and interpretation. The remaining chapters introduce concepts and examples for mediation, moderation, and detecting unobserved heterogeneity in PLS-SEM and close with some advice and an example of writing up a PLS-SEM study. The datasets and do-files from all the examples are available as a GitHub repository at https://github.com/sergioventurini/SEMwPLS. Structural Equation Modelling with Partial Least Squares Using Stata and R is a useful resource for researchers interested in learning more about PLS-SEM and for more advanced researchers interested in learning how to fit PLS-SEM models in Stata. |
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Table of contentsView table of contents >> Preface
Authors
List of Figures
List of Tables
List of Algorithms
Abbreviations
Greek Alphabet
I Preliminaries and Basic Methods
1 Framing Structural Equation Modelling
1.1 What is Structural Equation Modelling?
1.2 Two Approaches to Estimating SEM Models
1.2.1 Covariance-based on SEM
1.3 What Analyses Can PLS-SEM Do?1.2.2 Partial least squares SEM 1.2.3 Consistent partial least squares SEM 1.4 The Language of PLS-SEM 1.5 Summary 2 Multivariate Statistics Prerequisites
2.1 Bootstrapping
2.2 Principal Component Analysis 2.3 Segmentation Methods
2.3.1 Cluster analysis
2.4 Path Analysis
2.3.1.1 Hierarchical clustering algorithms
2.3.2 Finite mixture models and model-based clustering2.3.1.2 Partitional clustering algorthms 2.3.3 Latent class analysis 2.5 Getting to Partial Least Squares Structural Equation Modelling 2.6 Summary Appendix: R Commands
The bootstrap
Appendix: Technical Details Principal component analysis Segmentation methods Latent class analysis Path analysis
More Insights on the bootstrap
The algebra of principal components analysis Clustering stopping rules Finite mixture models estimation and selection Path analysis using matrices 3 PLS Structural Equation Modelling: Specification and Estimation
3.1 Introduction
3.2 Model specification
3.2.1 Outer (measurement) model
3.3 Model Estimation3.2.2 Inner (structural) model 3.2.3 Application: Tourists satisfaction
3.3.1 The PLS-SEM algorithm
3.4 Bootstrap-based Inference 3.3.2 Stage I: Iterative estimation of latent variable scores 3.3.3 Stage II: Estimation of measurement model parameters 3.3.4 Stage III: Estimation of structural model parameters 3.5 The plssem Stata Package
3.5.1 Syntax
3.6 Missing Data 3.5.2 Options 3.5.3 Stored results 3.5.4 Application: Tourists satisfaction (cont.)
3.6.1 Application: Tourists satisfaction (cont.)
3.7 Effect Decomposition 3.8 Sample Size Requirement 3.9 Consistent PLS-SEM
3.9.1 The plssemc command
3.10 Higher Order Constructs 3.11 Summary Appendix: R Commands
The plspm package
Appendix: Technical DetailsThe cSEM package
A formal definition of PLS-SEM
More details on the consistent PLS-SEM approach 4 PLS Structural Equation Modelling: Assessment and Interpretation
4.1 Introduction
4.2 Assessing the Measurement Part
4.2.1 Reflective measurement models
4.3 Assessing the Structural Part
4.2.1.1 Unidimensionality
4.2.2 Higher order reflective measurement models 4.2.1.2 Construct reliability 4.2.1.3 Construct validity 4.2.3 Formative measurement models
4.2.3.1 Content validity
4.2.3.2 Multicollinearity 4.2.3.3 Weights
4.3.1 R-squared
4.4 Assessing a PLS-SEM Model: A Full Example 4.3.2 Goodness-of-fit 4.3.3 Path coefficients
4.4.1 Setting up the model using plssem
4.5 Summary 4.4.2 Estimation using plssem in Stata 4.4.3 Evaluation of the example study model
4.4.3.1 Measurement part
4.4.3.2 Structural part Appendix: R Commands Appendix: Technical Details
Tools for assessing the measurement part of a PLS-SEM model
Tools for assessing the structural part of a PLS-SEM model II Advanced Methods
5 Mediation Analysis With PLS-SEM
5.1 Introduction
5.2 Baron and Kenny's Approach to Mediation Analysis
5.2.1 Modifying the Baron-Kenny approach
5.3 Examples in Stata5.2.2 Alternative to the Baron-Kenny approach 5.2.3 Effect size of the mediation
5.3.1 Example 1: A single observed mediator variable
5.4 Moderated Mediation 5.3.2 Example 2: A single latent mediator variable 5.3.3 Example 3: Multiiple latent mediator variables 5.5 Summary Appendix: R Commands 6 Moderating/Interaction Effects Using PLS-SEM
6.1 Introduction
6.2 Product-Indicator Approach 6.3 Two-Stage Approach 6.4 Multi-Sample Approach
6.4.1 Parametric test
6.5 Example Study: Interaction Effects 6.4.2 Permutation test
6.5.1 Application of the product-indicator approach
6.6 Measurement Model Invariance 6.5.2 Application of the two-stage approach
6.5.2.1 Two-stage as an alternative to product-indicator
6.5.3 Application of the multi-sample approach 6.5.2.2 Two-stage with a categorical moderator 6.7 Summary Appendix: R Commands
Application of the product-indicator approach
Application of the two-stage approach Application of the multi-sample approach Measurement model invariance 7 Detecting Unobserved Heterogeneity in PLS-SEMM
7.1 Introduction
7.2 Methods for the Identification and Estimation of Unobserved Heterogeneity in PLS-SEM
7.2.1 Response-based unit segmentation in PLS-SEM
7.3 Summary7.2.2 Finite mixture PLS (FIMIX-PLS) 7.2.3 Other methods
7.2.3.1 Path modelling segmentation tree algorithm (Pathmox)
7.2.3.2 Partial least squares genetic algorithm segmentation (PLS-GAS) Appendix: R Commands Appendix: Technical Details
The math behind the REBUS-PLS algorithm
Permutation tests III Conclusions
8 How to Write Up a PLS-SEM Study
8.1 Publication Types and Structure
8.2 Example of PLS-SEM Publication 8.3 Summary IV Appendices
A Basic Statistics Prerequisites
A.1 Covariance and Correlation
A.2 Linear Regression Analysis
A.2.1 The simple linear regression model
A.3 Summary A.2.2 Goodness-of-fit A.2.3 The multiple linear regression model A.2.4 Inference for the linear regression model
A.2.4.1 Normal-based inference
A.2.5 Categorical predictors A.2.6 Multicollinearity A.2.7 Example Appendix: R Commands
Covariance and correlation
Bibliography
Index
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