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Biometrika 1973 60(3):535-542; doi:10.1093/biomet/60.3.535
© 1973 by Biometrika Trust
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Nonparametric estimators of the mean tolerance in bioassay

RUPERT G. MILLER

Stanford University

Theoretical properties of the Spearman-Kärber estimator of the mean tolerance in a quantal response bioassay are discussed, and its limiting distribution is studied under three different limiting processes. The Reed-Muench and Dragstedt-Behrens estimators are shown to be estimators of the mean, not the median, tolerance and to be nearly equivalent to the Spearman-Kärber estimator. The limiting distributions of the Reed-Muench estimator are considered in detail.

Key Words: Spearman-Kärber • Reed-Muenoh • Dragstedt-Behrens • Quantal response • Bioassay • Mean tolerance • Nonparametrio estimators


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