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Log-Linear Analysis
Francesca Cristante
Abstract
Prerequisites
Contents
Qualitative data analysis. An introduction to log-linear models
Four lines of development
Basic definitions
Two modes of inquiry
A taxonomy of statistical techniques
Partial association: a basic concept
Log-Linear Analysis of Two- and Multi-dimensional Contingency Tables
Introduction
The subject matter
Notation and preliminaries for two dimensional tables
Independence
The odds-ratio and the 2x2 table
Log-linear models for two-dimensional tables
The log-linear model for independence
The log-linear model for dependence
Fitting models
Effects
Parameter estimates in the log-linear models
Data analysis
The estimated variance of the parameters in the model
The standard values of the parameters in the model
Three dimensional tables
Notation
Partial association and marginal association
Conditional independence
Identical marginal association and partial association
Structures, hypotheses and log-linear models for three dimensional tables
Structures and hypotheses
Hierarchical Log-linear models
Fitting models
Screening effects and selecting models
Non-hierarchical models
Parameter estimates in the models
Data analysis
The estimated variances of the parameters in the models
Graphical interpretation of higher dimensional log-linear models
Introduction
Notation
Graphical models
Graphical representation of the models
Interpretation of graphical models
Recommended readings
Bibliography
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ODL-Team
Wed Jan 12 2000
