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Statistical Research Unit, Department of Economics, School of Business, Economics and Law, University of Gothenburg Resarch Reports

No 2011:1:
Simple conservative confidence intervals for comparing matched proportions

Robert Jonsson ()

Abstract: Unconditional confidence intervals (CIs) for the difference between marginal proportions in matched pairs data have essentially been based on improvements of Wald’s large-sample statistic. The latter are approximate and non-conservative. In some situations it may be of importance that CIs are conservative, e.g. when claiming bio-equivalence in small samples. Existing methods for constructing conservative CIs are computer intensive and are not suitable for sample size determination in planned stu... moredies. This paper presents a new simple method by which conservative CIs are readily computed. The method gives CIs that are comparable with earlier conservative methods concerning coverage probabilities and lengths. However, the new method can only be used if the proportions in the discordant cells p and q satisfies , but this is luckily the case in most applications and several examples are given. The new method is compared with previously suggested approximate and exact methods in large-scale simulations.

Keywords: Binomial variables; Conservative limits; Pivotal statistic; (follow links to similar papers)

JEL-Codes: C10; (follow links to similar papers)

22 pages, February 4, 2011

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