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East Tennessee State University

Coverage Properties of the Inverse Sinh Transformation and the Adjusted Wald Confidence Intervals for the Odds Ratio and the Relative Risk.

Abstract

dc:description.abstract

<p>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.</p>

Degree

thesis:*
Name thesis:degree_name
MS (Master of Science)
Level thesis:degree_level
Thesis - unrestricted
Discipline thesis:degree_discipline
Mathematical Sciences
Year dc:date.issued
2002

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Bowman, Troy Allen

Subjects

dc:subject × 5

Rights

dc:rights
Statement dc:rights
  • Copyright by the authors.

Identifiers

dc:identifier.*
Repository record dc:identifier
https://dc.etsu.edu/etd/695
OAI identifier oai:identifier
oai:dc.etsu.edu:etd-1852

Chain of custody

source
Harvested from
East Tennessee State University
Base URL
dc.etsu.edu/do/oai/
Last updated
2026-07-24
Source record
OAI-PMH GetRecord
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.. Thesis - unrestricted thesis, 2002. https://dc.etsu.edu/etd/695