Log-Linear Models / Edition 1

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Overview

Discusses the innovative log-linear model of statistical analysis. This model makes no distinction between independent and dependent variables, but is used to examine relationships among categoric variables by analyzing expected cell frequencies.

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Product Details

Meet the Author

Davd Knoke (Ph.D., University of Michigan 1972) coauthored Network Analysis (1982) and has published fifteen books and more than a hundred articles and book chapters, primarily on organizations, networks, politics, and social statistics. He was principal co-investigator on several National Science Foundation-funded projects on voluntary associations, lobbying organizations in national policy domains, and organizational surveys of diverse establishments. A current project on the Global Information Sector examines strategic alliance network evolution among international corporations. At Minnesota, he teaches a graduate network analysis seminar that attracts students from diverse disciplines.

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Table of Contents

Editor's Introduction 5
1. Relationships in Crosstabulations 8
2. The Log-Linear Model 11
A. Specifying Models 11
Saturated Models 12
Nonsaturated Models 17
B. Fitting Marginals 19
Generating Expected Frequencies 22
C. Analyzing Odds 24
3. Testing for Fit 30
A. How To Evaluate Models Fitted to Data 30
B. Comparisons of Different Models of the Same Data 31
Independence Hypothesis 32
Equal Marginal Distributions Hypothesis 33
C. More Complex Models: Polytomous Variables 33
D. More Complex Hypotheses 37
E. An Analog to Multiple R[superscript 2] for Large Samples 40
4. Applications to Substantive Problems 42
A. Causal Models for Log-Linear Models 42
B. Analyzing Change Over Time 47
Comparative Cross-Sections 47
Two-Wave Panels 48
Markov Chain Models 54
Age, Period, and Cohort Models 57
5. Special Techniques with Log-Linear Models 63
A. What To Do About Zero Cells 63
B. Fixing Start Values 65
C. Analyzing Ordered Data 67
D. Collapsing Polytomous Variables 70
E. Nonhierarchical Models 72
6. Conclusions 76
References 77
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