Degree Name
MS (Master of Science)
Program
Mathematical Sciences
Date of Award
8-2002
Committee Chair or Co-Chairs
Robert M. Price Jr.
Committee Members
Edith Seier, T. Henry Jablonski Jr.
Abstract
The inverse sinh transformation on the Woolf interval is used to calculate the confidence interval for the odds ratio and the relative risk in a 2 x 2 table. According to Robert Newcombe, the new interval should improve the coverage probabilities and shorten the width of the confidence interval for these ratios, but the new interval requires evaluation of coverage properties. In this thesis, we will evaluate the exact coverage properties of this modified interval in extreme cases. Also, we will compare the coverage properties of this new interval to other widely-used adjusted intervals. Through comparisons of exact coverage probabilities and interval widths, we will discover if Newcombe's inverse sinh transformation provides better coverage properties than the adjusted methods.
Document Type
Thesis - unrestricted
Recommended Citation
Bowman, Troy Allen, "Coverage Properties of the Inverse Sinh Transformation and the Adjusted Wald Confidence Intervals for the Odds Ratio and the Relative Risk." (2002). Electronic Theses and Dissertations. Paper 695. https://dc.etsu.edu/etd/695
Copyright
Copyright by the authors.