Propagating Imprecision: combining confidence intervals from independent sources

Newcombe, Robert Gordon ORCID: https://orcid.org/0000-0003-4400-8867 2011. Propagating Imprecision: combining confidence intervals from independent sources. Communications in Statistics - Theory and Methods 40 (17) , pp. 3154-3180. 10.1080/03610921003764225

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Abstract

The Propagating Imprecision (PropImp) approach is a general, easily implemented method for calculating confidence intervals for a function of two or more parameters which are estimated separately. It extends the single-parameter substitution method of Daly (1998).( Daly , L. E. Confidence limits made easy: interval estimation using a substitution method. Amer. J. Epidemiol. 147 : 783 – 790) and is very flexible and widely applicable. It does not assume linearity, but normally presupposes monotonicity over the working range of the parameters being estimated. We show several examples, and obtain some coverage, location, and width results for intervals derived by this approach. In many two-parameter applications, the MOVER approach yields a simpler solution, but PropImp is sometimes applicable when MOVER cannot be used.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Advanced Research Computing @ Cardiff (ARCCA) Medicine
Subjects:	Q Science > QA Mathematics
Uncontrolled Keywords:	Confidence interval ; MOVER ; Propagating imprecision ; Substitution
Publisher:	Taylor & Francis
ISSN:	0361-0926
Last Modified:	21 Oct 2022 09:47
URI:	https://orca.cardiff.ac.uk/id/eprint/37693

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