title: Exact one-sided confidence bounds for the risk ratio in 2 x 2 tables with structural zero.
abstract: This paper examines exact one-sided confidence limits for the risk ratio in a 2 x 2 table with structural zero. Starting with four approximate lower and upper limits, we adjust each using the algorithm of Buehler (1957) to arrive at lower (upper) limits that have exact coverage properties and are as large (small) as possible subject to coverage, as well as an ordering, constraint. Different Buehler limits are compared by their mean size, since all are exact in their coverage. Buehler limits based on the signed root likelihood ratio statistic are found to have the best performance and recommended for practical use.
authors.affiliation: Melbourne Business School, 200 Leicester St, Carlton VIC 3052, Australia. c.lloyd@mbs.edu
authors.forename: Chris J
authors.initials: CJ
authors.lastname: Lloyd
authors.forename: Max V
authors.initials: MV
authors.lastname: Moldovan
mesh_terms: D000465:Algorithms; D000818:Animals; D002417:Cattle; D002418:Cattle Diseases / Q000276:immunology / Q000382:microbiology; D016001:Confidence Intervals; D003627:Data Interpretation, Statistical; D004342:Drug Hypersensitivity / Q000175:diagnosis; D006801:Humans; D009716:Numerical Analysis, Computer-Assisted; D016017:Odds Ratio; D048089:Pneumonia of Calves, Enzootic / Q000276:immunology / Q000382:microbiology; D014376:Tuberculosis / Q000175:diagnosis