Variance stabilizing the difference of two binomial proportions

Kulinskaya, Elena, Morgenthaler, Stephan and Staudte, Robert G. (2010) Variance stabilizing the difference of two binomial proportions. The American Statistician, 64 (4). pp. 350-356. ISSN 1537-2731

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Abstract

The article studies estimation of Δ = p1 − p2, the difference of two proportions p1 and p2, based on two independent Binomial experiments of size n1 and n2. The usual estimator, the difference between the two sample proportions, is variance stabilized conditionally on a weighted average of p1 and p2. When using this variance stabilized statistic as a test, a new family of confidence intervals for Δ is found. We show with a simulation study that these confidence intervals compare favorably in coverage accuracy and width to two other popular intervals proposed by Newcombe and Agresti and Caffo. Because no additional study weights need estimating, the variance stabilized statistic is also well-suited for combining results from independent studies. This meta analysis is also explained in the article.

Item Type:	Article
Faculty \ School:	Faculty of Science > School of Computing Sciences
UEA Research Groups:	Faculty of Science > Research Groups > Norwich Epidemiology Centre Faculty of Medicine and Health Sciences > Research Groups > Norwich Epidemiology Centre Faculty of Science > Research Groups > Data Science and Statistics Faculty of Medicine and Health Sciences > Research Centres > Business and Local Government Data Research Centre (former - to 2023)
Depositing User:	Vishal Gautam
Date Deposited:	11 Mar 2011 16:20
Last Modified:	08 Sep 2023 13:30
URI:	https://ueaeprints.uea.ac.uk/id/eprint/21696
DOI:	10.1198/tast.2010.09080

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