Please use this identifier to cite or link to this item:
https://doi.org/10.1080/03610926.2011.560779
Title: | Wilson confidence intervals for the two-sample log-odds-ratio in stratified 2 × 2 contingency tables | Authors: | Brown, B.M. Suesse, T. Yap, V.B. |
Keywords: | Binomial proportions Case-control studies Exponential families Hyper-geometric distributions Odds ratio Sufficient statistics |
Issue Date: | 2012 | Citation: | Brown, B.M., Suesse, T., Yap, V.B. (2012). Wilson confidence intervals for the two-sample log-odds-ratio in stratified 2 × 2 contingency tables. Communications in Statistics - Theory and Methods 41 (18) : 3355-3370. ScholarBank@NUS Repository. https://doi.org/10.1080/03610926.2011.560779 | Abstract: | Large-sample Wilson-type confidence intervals (CIs) are derived for a parameter of interest in many clinical trials situations: the log-odds-ratio, in a two-sample experiment comparing binomial success proportions, say between cases and controls. The methods cover several scenarios: (i) results embedded in a single 2 × 2 contingency table; (ii) a series of K 2 × 2 tables with common parameter; or (iii) K tables, where the parameter may change across tables under the influence of a covariate. The calculations of the Wilson CI require only simple numerical assistance, and for example are easily carried out using Excel. The main competitor, the exact CI, has two disadvantages: It requires burdensome search algorithms for the multi-table case and results in strong over-coverage associated with long confidence intervals. All the application cases are illustrated through a wellknown example. A simulation study then investigates how the Wilson CI performs among several competing methods. The Wilson interval is shortest, except for very large odds ratios, while maintaining coverage similar to Wald-type intervals. An alternative to the Wald CI is the Agresti-Coull CI, calculated from the Wilson and Wald CIs, which has same length as the Wald CI but improved coverage. Copyright © Taylor & Francis Group, LLC. | Source Title: | Communications in Statistics - Theory and Methods | URI: | http://scholarbank.nus.edu.sg/handle/10635/105466 | ISSN: | 03610926 | DOI: | 10.1080/03610926.2011.560779 |
Appears in Collections: | Staff Publications |
Show full item record
Files in This Item:
There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.