Structural Equations with Latent Variables

✍ Scribed by Bollen, Kenneth A

• Publisher: Wiley
• Year: 2014
• Tongue: English
• Category: Library

✦ Synopsis

Analysis of Ordinal Categorical Data Alan Agresti Statistical Science Now has its first coordinated manual of methods for analyzing ordered categorical data. This book discusses specialized models that, unlike standard methods underlying nominal categorical data, efficiently use the information on ordering. It begins with an introduction to basic descriptive and inferential methods for categorical data, and then gives thorough coverage of the most current developments, such as loglinear and logit models for ordinal data. Special emphasis is placed on interpretation and application of methods a.;Title Page; Dedication; Copyright; Preface; CHAPTER ONE: Introduction; HISTORICAL BACKGROUND; CHAPTER TWO: Model Notation, Covariances, and Path Analysis; MODEL NOTATION; COVARIANCE; PATH ANALYSIS; SUMMARY; CHAPTER THREE: Causality and Causal Models; NATURE OF CAUSALITY; ISOLATION; ASSOCIATION; DIRECTION OF CAUSATION; LIMITATIONS OF "CAUSAL" MODELING; SUMMARY; CHAPTER FOUR: Structural Equation Models with Observed Variables; MODEL SPECIFICATION; IMPLIED COVARIANCE MATRIX; IDENTIFICATION; ESTIMATION; FURTHER TOPICS; SUMMARY; APPENDIX 4A DERIVATION OF FML (y and x MULTINORMAL).

✦ Table of Contents

Title Page
Dedication
Copyright
Preface
CHAPTER ONE: Introduction
HISTORICAL BACKGROUND
CHAPTER TWO: Model Notation, Covariances, and Path Analysis
MODEL NOTATION
COVARIANCE
PATH ANALYSIS
SUMMARY
CHAPTER THREE: Causality and Causal Models
NATURE OF CAUSALITY
ISOLATION
ASSOCIATION
DIRECTION OF CAUSATION
LIMITATIONS OF "CAUSAL" MODELING
SUMMARY
CHAPTER FOUR: Structural Equation Models with Observed Variables
MODEL SPECIFICATION
IMPLIED COVARIANCE MATRIX
IDENTIFICATION
ESTIMATION
FURTHER TOPICS
SUMMARY
APPENDIX 4A DERIVATION OF FML (y and x MULTINORMAL). APPENDIX 4B DERIVATION OF FML (S WISHART DISTRIBUTION)APPENDIX 4C NUMERICAL SOLUTIONS TO MINIMIZE FITTING FUNCTIONS
APPENDIX 4D ILLUSTRATIONS OF LISREL AND EQS PROGRAMS
CHAPTER FIVE: The Consequences of Measurement Error
UNIVARIATE CONSEQUENCES
BIVARIATE AND SIMPLE REGRESSION CONSEQUENCES
CONSEQUENCES IN MULTIPLE REGRESSION
CORRELATED ERRORS OF MEASUREMENT
CONSEQUENCES IN MULTIEQUATION SYSTEMS
SUMMARY
APPENDIX 5A ILLUSTRATIONS OF LISREL AND EQS PROGRAMS
CHAPTER SIX: Measurement Models: The Relation between Latent and Observed Variables
MEASUREMENT MODELS
VALIDITY
RELIABILITY. CAUSE INDICATORSSUMMARY
APPENDIX 6A LISREL PROGRAM FOR THE MULTITRAIT-MULTIMETHOD EXAMPLE
CHAPTER SEVEN: Confirmatory Factor Analysis
EXPLORATORY AND CONFIRMATORY FACTOR ANALYSIS
MODEL SPECIFICATION
IMPLIED COVARIANCE MATRIX
IDENTIFICATION
ESTIMATION
MODEL EVALUATION
COMPARISON OF MODELS
RESPECIFICATION OF MODEL
EXTENSIONS
SUMMARY
APPENDIX 7A EXAMPLES OF PROGRAM LISTINGS
CHAPTER EIGHT: The General Model, Part I: Latent Variable and Measurement Models Combined
MODEL SPECIFICATION
IMPLIED COVARIANCE MATRIX
IDENTIFICATION
ESTIMATION AND MODEL EVALUATION. STANDARDIZED AND UNSTANDARDIZED COEFFICIENTSMEANS AND EQUATION CONSTANTS
COMPARING GROUPS
MISSING VALUES
TOTAL, DIRECT, AND INDIRECT EFFECTS
SUMMARY
APPENDIX 8A ASYMPTOTIC VARIANCES OF EFFECTS
APPENDIX 8B LISTING OF THE LISREL VI PROGRAM FOR MISSING VALUE EXAMPLE
CHAPTER NINE: The General Model, Part II: Extensions
ALTERNATIVE NOTATIONS/REPRESENTATIONS
EQUALITY AND INEQUALITY CONSTRAINTS
QUADRATIC AND INTERACTION TERMS
INSTRUMENTAL-VARIABLE (IV) ESTIMATORS
DISTRIBUTIONAL ASSUMPTIONS
CATEGORICAL OBSERVED VARIABLES
SUMMARY
APPENDIX 9A LISREL PROGRAM FOR MODEL IN FIGURE 9.1(c). APPENDIX A: Matrix Algebra ReviewSCALARS, VECTORS, AND MATRICES
MATRIX OPERATIONS
APPENDIX B: Asymptotic Distribution Theory
CONVERGENCE IN PROBABILITY
CONVERGENCE IN DISTRIBUTIONS
References
Index.

✦ Subjects

Latent variables;Social sciences--Statistical methods;Structural equation modeling;Electronic books;Social sciences -- Statistical methods