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Analysis of Ordinal Categorical Data

by: Agresti, Alan

Analysis of Ordinal Categorical Data

by: Agresti, Alan

ISBN 13:
9780470082898
ISBN 10:
0470082895
Edition: 2nd
Format: Hardcover
Copyright: 04/19/2010
Publisher: Wiley

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Summary

Statistical science s first coordinated manual of methods for analyzing ordered categorical data presents applications and case studies in fields as diverse as sociology, public health, ecology, marketing, and pharmacy. Analysis of Ordinal Categorical Data provides an introduction to basic descriptive and inferential methods for categorical data and gives thorough coverage of late developments. Special emphasis is placed on interpretation and application of methods including an integrated comparison of the available strategies for analyzing ordinal data. The book also discusses implementation of methods using computer packages such as SAS, SPSSx, and GLIM.

Preface	p. ix
Introduction	p. 1
Ordinal Categorical Scales	p. 1
Advantages of Using Ordinal Methods	p. 2
Ordinal Modeling Versus Ordinary Regession Analysis	p. 4
Organization of This Book	p. 8
Ordinal Probabilities, Scores, and Odds Ratios	p. 9
Probabilities and Scores for an Ordered Categorical Scale	p. 9
Ordinal Odds Ratios for Contingency Tables	p. 18
Confidence Intervals for Ordinal Association Measures	p. 26
Conditional Association in Three-Way Tables	p. 35
Category Choice for Ordinal Variables	p. 37
Chapter Notes	p. 41
Exercises	p. 42
Logistic Regression Models Using Cumulative Logits	p. 44
Types of Logits for An Ordinal Response	p. 44
Cumulative Logit Models	p. 46
Proportional Odds Models: Properties and Interpretations	p. 53
Fitting and Inference for Cumulative Logit Models	p. 58
Checking Cumulative Logit Models	p. 67
Cumulative Logit Models Without Proportional Odds	p. 75
Connections with Nonparametric Rank Methods	p. 80
Chapter Notes	p. 84
Exercises	p. 87
Other Ordinal Logistic Regression Models	p. 88
Adjacent-Categories Logit Models	p. 88
Continuation-Ratio Logit Models	p. 96
Stereotype Model: Multiplicative Paired-Category Logits	p. 103
Chapter Notes	p. 115
Exercises	p. 117
Other Ordinal Multinomial Response Models	p. 118
Cumulative Link Models	p. 118
Cumulative Probit Models	p. 122
Cumulative Log-Log Links: Proportional Hazards Modeling	p. 125
Modeling Location and Dispersion Effects	p. 130
Ordinal ROC Curve Estimation	p. 132
Mean Response Models	p. 137
Chapter Notes	p. 140
Exercises	p. 142
Modeling Ordinal Association Structure	p. 145
Ordinary Loglinear Modeling	p. 145
Loglinear Model of Linear-by-Linear Association	p. 147
Row or Column Effects Association Models	p. 154
Association Models for Multiway Tables	p. 160
Multiplicative Association and Correlation Models	p. 167
Modeling Global Odds Ratios and Other Associations	p. 176
Chapter Notes	p. 180
Exercises	p. 182
Non-Model-Based Analysis of Ordinal Association	p. 184
Concordance and Discordance Measures of Association	p. 184
Correlation Measures for Contingency Tables	p. 192
Non-Model-Based Inference for Ordinal Association Measures	p. 194
Comparing Singly Ordered Multinomials	p. 199
Order-Restricted Inference with Inequality Constraints	p. 206
Small-Sample Ordinal Tests of Independence	p. 211
Other Rank-Based Statistical Methods for Ordered Categories	p. 214
Appendix: Standard Errors for Ordinal Measures	p. 216
Chapter Notes	p. 219
Exercises	p. 222
Matched-Pairs Data with Ordered Categories	p. 225
Comparing Marginal Distributions for Matched Pairs	p. 226
Models Comparing Matched Marginal Distributions	p. 231
Models for The Joint Distribution in A Square Table	p. 235
Comparing Marginal Distributions for Matched Sets	p. 240
Analyzing Rater Agreement on an Ordinal Scale	p. 247
Modeling Ordinal Paired Preferences	p. 252
Chapter Notes	p. 258
Exercises	p. 260
Clustered Ordinal Responses: Marginal Models	p. 262
Marginal Ordinal Modeling with Explanatory Variables	p. 263
Marginal Ordinal Modeling: GEE Methods	p. 268
Transitional Ordinal Modeling, Given the Past	p. 274
Chapter Notes	p. 277
Exercises	p. 279
Clustered Ordinal Responses: Random Effects Models	p. 281
Ordinal Generalized Linear Mixed Models	p. 282
Examples of Ordinal Random Intercept Models	p. 288
Models with Multiple Random Effects	p. 294
Multilevel (Hierarchical) Ordinal Models	p. 303
Comparing Random Effects Models and Marginal Models	p. 306
Chapter Notes	p. 312
Exercises	p. 314
Bayesian Inference for Ordinal Response Data	p. 315
Bayesian Approach to Statistical Inference	p. 316
Estimating Multinomial Parameters	p. 319
Bayesian Ordinal Regression Modeling	p. 327
Bayesian Ordinal Association Modeling	p. 335
Bayesian Ordinal Multivariate Regression Modeling	p. 339
Bayesian Versus Frequentist Approaches to Analyzing Ordinal Data	p. 341
Chapter Notes	p. 342
Exercises	p. 344
Appendix: Software for Analyzing Ordinal Categorical Data	p. 345
Bibliography	p. 359
Example Index	p. 389
Subject Index	p. 391
Table of Contents provided by Ingram. All Rights Reserved.

Amazon no longer offers textbook rentals. We do!

Analysis of Ordinal Categorical Data

Analysis of Ordinal Categorical Data

9780470082898

0470082895

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Table of Contents

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