Logistic Regression Models for Ordinal Response Variables

List of Tables and Figures vii Series Editor's Introduction ix Acknowledgments xi Introduction 1(5) Purpose of This Book 3(1) Software and Syntax 4(1) Organization of the Chapters 5(1) Context: Early Childhood Longitudinal Study 6(4) Overview of the Early Childhood Longitudinal Study 6(1) Practical Relevance of Ordinal Outcomes 7(1) Variables in the Models 8(2) Background: Logistic Regression 10(17) Overview of Logistic Regression 10(4) Assessing Model Fit 14(1) Interpreting the Model 15(2) Measures of Association 17(8) Example 3.1: Logistic Regression 17(8) Comparing Results Across Statistical Programs 25(2) The Cumulative (Proportional) Odds Model for Ordinal Outcomes 27(27) Overview of the Cumulative Odds Model 27(17) Example 4.1: Cumulative Odds Model With a Single Explanatory Variable 30(11) Example 4.2: Full-Model Analysis of Cumulative Odds 41(3) Assumption of Proportional Odds and Linearity in the Logit 44(3) Alternatives to the Cumulative Odds Model 47(7) Example 4.3: Partial Proportional Odds 49(5) The Continuation Ratio Model 54(22) Overview of the Continuation Ratio Model 54(3) Link Functions 57(1) Probabilities of Interest 58(1) Directionality of Responses and Formation of the Continuation Ratios 59(12) Example 5.1: Continuation Ratio Model With Logit Link and Restructuring the Data 60(7) Example 5.2: Continuation Ratio Model With Complementary Log-Log Link 67(4) Choice of Link and Equivalence of Two Clog-Log Models 71(2) Choice of Approach for Continuation Ratio Models 73(3) Example 5.3: Full-Model Continuation Ratio Analyses for the ECLS-K Data 74(2) The Adjacent Categories Model 76(9) Overview of the Adjacent Categories Model 76(9) Example 6.1: Gender-Only Model 77(5) Example 6.2: Adjacent Categories Model With Two Explanatory Variables 82(2) Example 6.3: Full Adjacent Categories Model Analysis 84(1) Conclusion 85(4) Considerations for Further Study 87(2) Notes 89(2) Appendix A: Chapter 3 91(1) Appendix B: Chapter 4 92(2) Appendix C: Chapter 5 94(4) Appendix D: Chapter 6 98(2) References 100(4) Index 104(3) About the Author 107