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Measures of location for confidence intervals for proportions

Newcombe, Robert Gordon 2011. Measures of location for confidence intervals for proportions. Communications in Statistics - Theory and Methods 40 (10) , pp. 1743-1767. 10.1080/03610921003646406

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Abstract

Numerous methods have been developed to calculate confidence intervals for the binomial proportion π. Boundedness and discreteness of the sample space imply that none achieves exactly the nominal α/2 left and right non coverage. We consider whether intervals calculated by a particular method tend to be located too close to, or too far out from, the center of symmetry of the support scale, 1/2. Interval location may be characterized by the balance of mesial and distal non coverage in a study evaluating coverage. A complementary approach, applicable to a calculated interval, is derived from the Box–Cox family of scale transformations.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Advanced Research Computing @ Cardiff (ARCCA)
Medicine
Subjects: Q Science > QA Mathematics
Uncontrolled Keywords: Box–Cox index ; Confidence interval ; Coverage ; Distal ; Location ; Mesial ; Proportion
Publisher: Taylor & Francis
ISSN: 0361-0926
Last Modified: 30 Jun 2017 02:44
URI: http://orca-mwe.cf.ac.uk/id/eprint/37691

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