Exact One-Sided Confidence Bounds for the Risk Ratio in 2 × 2 Tables with Structural Zero

This paper examines exact one‐sided confidence limits for the risk ratio in a 2 × 2 table with structural zero. Starting with four approximate lower and upper limits, we adjust each using the algorithm of Buehler (1957) to arrive at lower (upper) limits that have exact coverage properties and are as...

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Bibliographic Details
Published inBiometrical journal Vol. 49; no. 6; pp. 952 - 963
Main Authors Lloyd, Chris J., Moldovan, Max V.
Format Journal Article
LanguageEnglish
Published Berlin WILEY-VCH Verlag 01.06.2007
WILEY‐VCH Verlag
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ISSN0323-3847
1521-4036
DOI10.1002/bimj.200710357

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Summary:This paper examines exact one‐sided confidence limits for the risk ratio in a 2 × 2 table with structural zero. Starting with four approximate lower and upper limits, we adjust each using the algorithm of Buehler (1957) to arrive at lower (upper) limits that have exact coverage properties and are as large (small) as possible subject to coverage, as well as an ordering, constraint. Different Buehler limits are compared by their mean size, since all are exact in their coverage. Buehler limits based on the signed root likelihood ratio statistic are found to have the best performance and recommended for practical use. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Bibliography:istex:02F3C3E9DB2F755215822A441A9813ECD1231336
ark:/67375/WNG-0JWH3CT5-C
Australian Research Council - No. 03-1362
ArticleID:BIMJ200710357
ISSN:0323-3847
1521-4036
DOI:10.1002/bimj.200710357