Linear Panel Analysis
Models of Quantitative Change
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Linear Panel Analysis: Models of Quantitative Change focuses on the use of linear models in the analysis of change data measured on a sample of individuals over multiple time points. This book is organized into 12 chapters. After a general introduction to change analysis in Chapter 1, some basic algebraic results on change scores are presented in Chapter 2. Chapter 3 constructs and analyzes structural equation models for studying the causes of change, while Chapter 4 outlines several ways of simply describing change in groups. The uses and abuses of cross-lagged panel correlations are discussed in Chapter 5. Chapters 6 to 10 deal with a variety of special topics that arise in panel analysis. The alternatives to the analysis of over-time data for a set of individuals are described in Chapter 11. The last chapter is devoted to the practical aspects of designing and carrying out the data collection phase of a panel study. This publication is intended for social scientists who work with change data.
Table of Contents
Preface
1. Introduction
Methods for Analyzing Change
The Historical Development of Panel Analysis Methods
Linear Models for Analyzing Panel Data
2. The Algebra of Change
Stability and Change
Change as a Determinant of Time 2 Status
An Illustration: The Stability of Alienation
Appendix A: An Analytic Investigation of the Stability Coefficient
Appendix B: Brief Introduction to LISREL
3. The Causal Analysis of Change
Causality in Cross-Sectional Analysis
A General Two-Wave, Two-Variable Model
Fixing Values of Parameters
Constraining Associations with Control Variables
Consistency Constraints in Multiwave Models
Appendix: Approach to Equilibrium in Two-Variable, Two-Wave Panel Models
4. The Components of Change
The Decomposition of Change
Change in Political Democracy
Structural Change
The Structure of Black and White Mobility
Structural and Exchange Components of Change
5. Cross-Lagged Panel Correlations
Background
CLPC as a Tool for Causal Analysis
CLPC as a Test for Spuriousness
CLPC as a Control for Spuriousness
The Comparison of Contending Model
Appendix: CLPC as a Test for Spuriousness
6. Separating the Effects of Position and Change
Fixing Values of Parameters
Constraining Relative Magnitudes of Parameters
Elaborating the Causal Model
Nonlinear Consistency Models
Appendix: The Transformation and Interpretation of Nonlinear Models
7. Serially Correlated Errors
Sources of Serial Correlation
Strategies for Dealing with Serially Correlated Errors
8. Initial Model Specification
The General Approach
Theoretical Correlograms
Basic Patterns of Correlograms
Diagnostic Implications
Extension to More Complex Models
Appendix: The Analytical Properties of the Correlogram
Extensions
9. Sensitivity Analysis
The Two-Wave, Two-Variable Model Revisited
Incorrect Casual Lag
10. Measurement Error
Measurement Error in Regression Analysis
Measurement Error in Panel Models
Measurement Error Models
Overview of Results
11. Alternative Approaches
Pooling Methods
Differential Equations
12. Design Considerations
Designing a Panel Study
The Follow-Back Panel
Measurement Intervals
Number of Waves
Panel Attrition
References
Subject Index
Product details
- No. of pages: 203
- Language: English
- Copyright: © Academic Press 1981
- Published: August 28, 1981
- Imprint: Academic Press
- eBook ISBN: 9781483297828