The Analysis of Cross-Classified Categorical Data

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Springer Science & Business Media, 2007. 8. 6. - 198페이지
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A variety of biological and social science data come in the form of cross-classified tables of counts, commonly referred to as contingency tables. Until recent years the statistical and computational techniques available for the analysis of cross-classified data were quite limited. This book presents some of the recent work on the statistical analysis of cross-classified data using longlinear models, especially in the multidimensional situation.
 

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목차

TwoDimensional Tables
8
22 The Model of Independence
10
23 The Loglinear Model
13
24 Sampling Models
15
25 The CrossProduct Ratio and 2x2 Tables
16
26 Interrelated TwoDimensional Tables
20
27 Correction for Continuity
21
28 Other Scales for Analyzing TwoDimensional Tables
22
Fixed Margins and Logit Models
95
62 Logit Models
97
63 Logit Models and Ordered Categories
99
64 Linear Logistic Response Models
102
65 Logistic Regression vs Discriminant Analysis
105
66 Polytomous and Multivariate Response Variables
110
Problems
116
Causal Analysis Involving Logit and Loglinear Models
120

Problems
23
ThreeDimensional Tables
27
32 Sampling Models
29
33 Estimated Expected Values
32
34 Iterative Computation of Expected Values
37
35 GoodnessofFit Statistics
40
36 Hierarchical Models
43
37 A Further Example
44
38 Collapsing Tables
48
Problems
51
Selection of a Model
56
43 Partitioning ChiSquare
57
44 Using Information about Ordered Categories
61
Problems
68
Four and HigherDimensional Contingency Tables
71
52 Using Partitioning to Select a Model
74
53 Stepwise Selection Procedures
77
54 Looking at All Possible Effects
80
Problems
88
72 Recursive Systems of Logit Models
123
A More Complex Example
129
74 Nonrecursive Systems of Logit Models
133
75 Retrospective Epidemiological Studies
135
76 Logistic Models for Retrospective Data
137
Problems
138
Fixed and Random Zeros
140
82 Incomplete TwoDimensional Contingency Tables
142
83 Incompleteness in Several Dimensions
146
84 Some Applications of Incomplete Table Methodology
150
Problems
159
Statistical Terminology
164
Basic Estimation Results for Loglinear Models
167
Percentage Points of x² Distribution
171
SmallSample Properties of x² Statistics
172
References
177
Author Index
191
Subject Index
195
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저자 정보 (2007)

Stephen is Maurice Falk Professor of Statistics and Social Science at Carnegie-Mellon University.

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