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American Journal of Epidemiology Vol. 113, No. 4: 474-480
Copyright © 1981 by The Johns Hopkins University School of Hygiene and Public Health

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THE VALIDITY OF APPROXIMATION METHODS FOR INTERVAL ESTIMATION OF THE ODDS RATIO

CHARLES C. BROWN1

1Biometry Branch, National Cancer Institute Room C503, Landow Building, Bethesda, MD 20205

address for reprints

Brown, C. C. (NCI, Bethesda, MD 20205). The validity of approximation methods for Interval estimation of the odds ratio. Am J Epidemiol 1981; 113: 474-80.

The validity of a confidence interval Is determined by the probability that the random Interval covers the true parameter value. A valid interval will have coverage probabilities at least as large as the confidence coefficient for all values of the parameter. The validity of three methods for constructing an approximate confidence interval on the odds ratio parameter for 2 x 2 tables is examined In the conditional hypergeometrlc sampling situation. Two examples are shown for which Cornfield's method is seen to be valid over a fairly wide range of true odds ratios, while the methods of Mlettfnen and Woolf are often found to be Invalid. A number of other examples are studied with qualitatively similar results.

biometry; epidemiologic methods; probability; statistics


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