Logistic regression models for ordinal response variables

Author(s)

    • O'Connell, Ann A.

Bibliographic Information

Logistic regression models for ordinal response variables

Ann A. O'Connell

(Sage publications series, . Quantitative applications in the social sciences ; no. 07-146)

Sage Publications, c2006

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Note

Includes bibliographical references (p. 100-103) and index

Description and Table of Contents

Description

Logistic Regression Models for Ordinal Response Variables provides applied researchers in the social, educational, and behavioral sciences with an accessible and comprehensive coverage of analyses for ordinal outcomes. The content builds on a review of logistic regression, and extends to details of the cumulative (proportional) odds, continuation ratio, and adjacent category models for ordinal data. Description and examples of partial proportional odds models are also provided. This book is highly readable, with lots of examples and in-depth explanations and interpretations of model characteristics. SPSS and SAS are used for all examples; data and syntax are available from the author's website. The examples are drawn from an educational context, but applications to other fields of inquiry are noted, such as HIV prevention, behavior change, counseling psychology, social psychology, etc.). The level of the book is set for applied researchers who need to quickly understand the use and application of these kinds of ordinal regression models.

Table of Contents

List of Tables and Figures Series Editor's Introduction Acknowledgments 1. Introduction Purpose of This Book Software and Syntax Organization of the Chapters 2. Context: Early Childhood Longitudinal Study Overview of the Early Childhood Longitudinal Study Practical Relevance of Ordinal Outcomes Variables in the Models 3. Background: Logistic Regression Overview of Logistic Regression Assessing Model Fit Interpreting the Model Measures of Association EXAMPLE 3.1: Logistic Regression Comparing Results Across Statistical Programs 4. The Cumulative (Proportional) Odds Model for Ordinal Outcomes Overview of the Cumulative Odds Model EXAMPLE 4.1: Cumulative Odds Model With a Single Explanatory Variable EXAMPLE 4.2: Full-Model Analysis of Cumulative Odds Assumption of Proportional Odds and Linearity in the Logit Alternatives to the Cumulative Odds Model EXAMPLE 4.3: Partial Proportional Odds 5. The Continuation Ratio Model Overview of the Continuation Ratio Model Link Functions Probabilities of Interest Directionality of Responses and Formation of the Continuation Ratios EXAMPLE 5.1: Continuation Ratio Model With Logit Link and Restructuring the Data EXAMPLE 5.2: Continuation Ratio Model With Complementary Log-Log Link Choice of Link and Equivalence of Two Clog-Log Models Choice of Approach for Continuation Ratio Models EXAMPLE 5.3: Full-Model Continuation Ratio Analyses for the ECLS-K Data 6. The Adjacent Categories Model Overview of the Adjacent Categories Model EXAMPLE 6.1: Gender-Only Model EXAMPLE 6.2: Adjacent Categories Model With Two Explanatory Variables EXAMPLE 6.3: Full Adjacent Categories Model Analysis 7. Conclusion Considerations for Further Study Notes Appendix A: Chapter 3 Appendix B: Chapter 4 Appendix C: Chapter 5 Appendix D: Chapter 6 References Index About the Author

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