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.
","abstract_html":"<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>","abstract_has_math":false,"creators":["Bowman, Troy Allen"],"institution":null,"degree_name":"MS (Master of Science)","degree_level":"Thesis - unrestricted","degree_discipline":"Mathematical Sciences","degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2002,"date_issued":"2002-08-16T07:00:00Z","date_published":"2002-08-16T07:00:00Z","updated_at":"2026-07-24T02:19:07Z","subjects":["odds ratio","relative risk","cnfidence intervals","inverse sinh transformation","Physical Sciences and Mathematics"],"languages":[],"rights":["Copyright by the authors."],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://dc.etsu.edu/etd/695","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Bowman, Troy Allen"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.issued","label":"Date","values":["2002-08-16T07:00:00Z"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Mathematical Sciences"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Thesis - unrestricted"]},{"key":"thesis:degree_name","label":"Degree Name","values":["MS (Master of Science)"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["odds ratio","relative risk","cnfidence intervals","inverse sinh transformation","Physical Sciences and Mathematics"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:rights","label":"Dc Rights","values":["Copyright by the authors."]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://dc.etsu.edu/context/etd/article/1852/viewcontent/BowmanT080702.pdf","https://dc.etsu.edu/etd/695"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["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.
"]},{"key":"dc:title","label":"Title","values":["Coverage Properties of the Inverse Sinh Transformation and the Adjusted Wald Confidence Intervals for the Odds Ratio and the Relative Risk."]}]}],"canonical_facts":{"dc:creator":["Bowman, Troy Allen"],"dc:date.issued":["2002-08-16T07:00:00Z"],"dc:description.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.
"],"dc:identifier":["https://dc.etsu.edu/context/etd/article/1852/viewcontent/BowmanT080702.pdf","https://dc.etsu.edu/etd/695"],"dc:rights":["Copyright by the authors."],"dc:subject":["odds ratio","relative risk","cnfidence intervals","inverse sinh transformation","Physical Sciences and Mathematics"],"dc:title":["Coverage Properties of the Inverse Sinh Transformation and the Adjusted Wald Confidence Intervals for the Odds Ratio and the Relative Risk."],"thesis:degree_discipline":["Mathematical Sciences"],"thesis:degree_level":["Thesis - unrestricted"],"thesis:degree_name":["MS (Master of Science)"]},"updated_at":"2026-07-24T02:19:07Z"}