Table of Chapters

1. Title Page and Abstract
2. Chapter 1: Introduction and Background
   1. 1.1 Review of Literature
   2. 1.2 Research Problems
   3. 1.3 Organization of the Dissertation
3. Chapter 2: Confidence intervals for normal quantiles: one- and two-sample problems
   1. 2.1 Introduction
   2. 2.2 Confidence Intervals for a Quantile
      1. 2.2.1 Noncentral t Confidence Interval
      2. 2.2.2 Normal Approximation
      3. 2.2.3 Fiducial Distributions for a Normal Quantile
   3. 2.3 Confidence Intervals for the Difference/Ratio of Two Quantiles
      1. 2.3.1 Noncentral t Fiducial Confidence Intervals
      2. 2.3.2 Normal Approximate Fiducial Confidence Intervals
   4. 2.4 Coverage and Precision Studies
   5. 2.5 Examples
4. Chapter 3: Tests for Comparing Several Normal Quantiles and Pairwise Confidence Intervals
   1. 3.1 Introduction
   2. 3.2 Tests for Equality of Quantiles
      1. 3.2.1 Fiducial Quantities for Quantiles
      2. 3.2.2 Generalized Variable Test
      3. 3.2.3 Likelihood Ratio Test
      4. 3.2.4 The Parametric Bootstrap Test
   3. 3.3 Type I Error Rates and Power Studies
   4. 3.4 Simultaneous CIs for Pairwise Differences
      1. 3.4.1 One-Sample Confidence Intervals
      2. 3.4.2 FG Method for Simultaneous Pairwise CIs
      3. 3.4.3 Parametric Bootstrap Method
      4. 3.4.4 Bonferroni Simultaneous Fiducial CIs
      5. 3.4.5 Coverage and Precision Studies
   5. 3.5 Examples
5. Chapter 4: Confidence Intervals for the Common Quantile of Several Normal Populations
   1. 4.1 Introduction
   2. 4.2 One-Sample Tests for a Quantile
   3. 4.3 Combined Tests and Confidence Intervals for a Common Quantile
      1. 4.3.1 Fiducial Confidence Interval
   4. 4.4 Coverage and Precision
   5. 4.5 Examples
6. Chapter 5: Conclusions
7. Bibliography
8. Appendices
   1. Appendix A
   2. Appendix B
   3. Appendix C
   4. Appendix D
   5. Appendix E
9. Biographical Sketch