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On the Asymptotic Inefficiency of Certain Noniterative Estimators of a Common Relative Risk or Odds Ratio

Robert E. Tarone, John J. Gart and Walter W. Hauck
Biometrika
Vol. 70, No. 2 (Aug., 1983), pp. 519-522
Published by: Oxford University Press on behalf of Biometrika Trust
DOI: 10.2307/2335572
Stable URL: http://www.jstor.org/stable/2335572
Page Count: 4
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
On the Asymptotic Inefficiency of Certain Noniterative Estimators of a Common Relative Risk or Odds Ratio
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Abstract

Nurminen (1981) gives conditions for the asymptotic efficiency of general weighted mean estimators. His application is a noniterative estimator of a common relative risk for binomial variates. This summary estimator and, by implication, the Mantel-Haenszel summary odds ratio estimator are asserted to be asymptotically efficient. We examine conditions for the asymptotic efficiency in the unconditional sample space of the Mantel-Haenszel estimator for a common odds ratio, the estimator of a common relative risk considered by Nurminen, and Tarone's (1981) estimator of a common relative risk for binomial variables. Contrary to Nurminen, we find that, except for a few degenerate cases, these estimators are inefficient whenever the common odds ratio or common relative risk is not equal to 1.

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