Measures of location for confidence intervals for proportions

Newcombe, Robert Gordon ORCID: https://orcid.org/0000-0003-4400-8867 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:	Professional Services > Advanced Research Computing @ Cardiff (ARCCA) Schools > 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:	21 Oct 2022 09:47
URI:	https://orca.cardiff.ac.uk/id/eprint/37691

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