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Biometrika 1980 67(2):403-412; doi:10.1093/biomet/67.2.403
© 1980 by Biometrika Trust
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Partially sequential treatments versus control multiple comparisons

P. COSTELLO and D. A. WOLFE

Department of Statistics, Ohio State University Columbus

In this paper we propose a distribution-free treatments versus control multiple comparisons procedure, based on the control sample median, that is appropriate when the control sample observations are easy and relatively inexpensive to collect, while the treatments data are costly and/or difficult to obtain. For this procedure the control sample has a fixed sample size and the treatments have random sample sizes determined by a truncated inverse binomial sequential sampling scheme. Properties of the procedure are discussed, including null distribution critical values for two or three noncontroltreatments.

Key Words: Asymptotic approximation • Inverse binomial distribution • Multiple comparisons • Null distribution table • Partially sequential procedure • Preset error bound • Treatments versus control.


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