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Publication Details
AFRICAN RESEARCH NEXUS
SHINING A SPOTLIGHT ON AFRICAN RESEARCH
decision sciences
Fast computation of exact confidence limits for the common odds ratio in a series of 2 × 2 tables
Journal of the American Statistical Association, Volume 86, No. 414, Year 1991
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Description
The odds ratio is widely used as a measure of association in epidemiologic studies and clinical trials. We consider calculation of exact confidence limits for the common odds ratio in a series of independent 2 × 2 tables and propose three modifications of the network algorithm of Mehta, Patel and Gray: (1) formulating and dealing with the problem in algebraic instead of graph theoretic terms, (2) performing convolutions on the natural scale instead of the logarithmic scale, and (3) using the secant method instead of binary search to compute roots of polynomial equations. Enhancement of computational efficiency, exceeding an order of magnitude, afforded by these modifications is empirically demonstrated. We also compare the modified method with one based on the fast Fourier transform (FFT). Further, we show that the FFT method can also result in considerable loss of numerical accuracy. The modifications proposed in this article yield an algorithm that is not only fast and accurate but that combines conceptual simplicity with ease of implementation. Anyone with a rudimentary knowledge of computer programming can implement it and quickly compute exact confidence intervals for relatively large data sets even on microcomputers. Thus it should help make exact analysis of the common odds ratio more common. © 1991 Taylor & Francis Group, LLC.
Authors & Co-Authors
Vollset, Stein Emil
Norway, Bergen
Universitetet I Bergen
Hirji, Karim F.
Tanzania, Dar es Salaam
Muhimbili Medical Centre
Elashoff, Robert M.
United States, Los Angeles
David Geffen School of Medicine at Ucla
Statistics
Citations: 52
Authors: 3
Affiliations: 3
Identifiers
Doi:
10.1080/01621459.1991.10475057
ISSN:
01621459
e-ISSN:
1537274X
Study Design
Case-Control Study