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Biometrika 1986 73(3):589-596; doi:10.1093/biomet/73.3.589
© 1986 by Biometrika Trust
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Recursive nonparametric testing for dose-response relaflonships subject to downturns at high doses

DOUGLAS G. SIMPSON and BARRY H. MARGOLIN

Department of Statistics, University of Illinois Urbana, Illinois 61801, U.S.A.
Statistics and Biomathematics Branch, National Institute of Environmental Health Sciences Research Triangle Park, North Carolina 27709, U.S.A.

A general recursive strategy is introduced to test nonparametrically for an increasing dose-response relationship when a downturn in response at high doses is possible. A specific implementation involving a test of Jonckheere (1954) and Terpstra (1952) is considered, and its size and power properties are investigated via Monte Carlo methods. Data from mutation research illustrate the phenomenon of concern.

Key Words: Dose-response curve • Jonckheere-Terpstra test • Nonparametric test • Recursive test • Stochastic ordering


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