Please use this identifier to cite or link to this item: http://hdl.handle.net/11718/13528
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dc.contributor.authorPradhan, Vivek
dc.contributor.authorSaha, Krishna K.
dc.contributor.authorBanerjee, Tathagata
dc.contributor.authorEvans, John C.
dc.date.accessioned2015-05-12T11:25:56Z
dc.date.available2015-05-12T11:25:56Z
dc.date.issued2014
dc.identifier.citationPradhan, V., Saha, K. K., Banerjee, T., & Evans, J. C. (2014). Weighted profile likelihood-based confidence interval for the difference between two proportions with paired binomial data. Statistics In Medicine, (17), 2984.en_US
dc.identifier.issn02776715
dc.identifier.urihttp://hdl.handle.net/11718/13528
dc.description.abstractInference on the difference between two binomial proportions in the paired binomial setting is often an important problem in many biomedical investigations. Tang et al. (2010, Statistics in Medicine) discussed six methods to construct confidence intervals (henceforth, we abbreviate it as CI) for the difference between two proportions in paired binomial setting using method of variance estimates recovery. In this article, we propose weighted profile likelihood-based CIs for the difference between proportions of a paired binomial distribution. However, instead of the usual likelihood, we use weighted likelihood that is essentially making adjustments to the cell frequencies of a 2 2 table in the spirit of Agresti and Min (2005, Statistics in Medicine). We then conduct numerical studies to compare the performances of the proposed CIs with that of Tang et al. and Agresti and Min in terms of coverage probabilities and expected lengths. Our numerical study clearly indicates that the weighted profile likelihood-based intervals and Jeffreys interval (cf. Tang et al.) are superior in terms of achieving the nominal level, and in terms of expected lengths, they are competitive. Finally, we illustrate the use of the proposed CIs with real-life examples.
dc.language.isoenen_US
dc.publisherWiley Subscription Services, Inc.en_US
dc.subjectBinomial dataen_US
dc.titleWeighted profile likelihood-based confidence interval for the difference between two proportions with paired binomial dataen_US
dc.typeArticleen_US
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