Bibliographic record and links to related information available from the Library of Congress catalog
Note: Electronic data is machine generated. May be incomplete or contain other coding.
Preface to the Second Edition vii Preface to the First Edition ix 1 Introduction 1.1 The Analysis of Categorical Data 1 1.2 Forms of Multivariate Analysis 2 1.3 Some Historical Background 4 1.4 A Medical Example 6 2 Two-Dimensional Tables 8 2.1 Two Binomials 8 2.2 The Model of Independence 10 2.3 The Loglinear Model 13 2.4 Sampling Models 15 2.5 The Cross-Product Ratio and 2 x 2 Tables 16 2.6 Interrelated Two-Dimensional Tables 20 2.7 Correction for Continuity 21 2.8 Other Scales for Analyzing Two-Dimensional Tables 22 Problems 23 3 Three-Dimensional Tables 27 3.1 The General Loglinear Model 27 3.2 Sampling Models 29 33 Estimated Expected Values 32 314 Iterative Computation of Expected Values 37 3.5 Goodness-of-Fit Statistics 40 3.6 Hierarchical Models 43 3.7 A Further Example 44 3.8 Collapsing Tables 48 Problems 51 4 Selection of a Model 56 4.1 General Issues 56 4.2 Conditional Test Statistics 56 4.3 Partitioning Chi-Square 57 4.4 Using Information about Ordered Categories 61 Problems 68 5 Four- and Higher-Dimensional Contingency Tables 71 5.1 The Loglinear Models and MLEs for Expected Values 71 5.2 Using Partitioning to Select a Mode 74 5.3 Stepwise Selection Procedures 77 5.4 Looking at All Possible Effects 80 Problems 88 6 Fixed Margins and Logit Models 95 6.1 A Three-Dimensional Example 95 6.2 Logit Models 97 6.3 Logit Models and Ordered Categories 99 6.4 Linear Logistic Response Models 102 6.5 Logistic Regression vs. Discriminant Analysis 105 6.6 Polytomous and Multivariate Response Variables 110 Problems 116 7 Causal Analysis Involving Logit and Loglinear Models 120 7.1 Path Diagrams 120 7.2 Recursive Systems of Logit Models 123 7.3 Recursive Systems: A More Complex Example 129 7.4 Nonrecursive Systems of Logit Models 133 7.5 Retrospective Epidemiological Studies 135 7.6 Logistic Models for Retrospective Data 137 Problems 138 8 Fixed and Random Zeros 140 8.1 Sampling Zeros and MLEs in Loglinear Models 140 8.2 Incomplete Two-Dimensional Contingency Tables 142 8.3 Incompleteness in Several Dimensions 146 8.4 Some Applications of Incomplete Table Methodology 150 Problems 159 Appendix I Statistical Terminology 165 Appendix II Basic Estimation Results for Loglinear Models 167 Appendix III Percentage Points of 2 Distribution 171 Appendix IV Small-Sample Properties of X2 Statistics 172