August 1, 1977

Partitioning Normal Populations With Respect to a Control

Authors:
Rand Wilcox
Tong (1969) describes a two-stage procedure for partitioning k normal populations with respect to a control, the population having a common but unknown variance. This problem can be solved for unknown and unequal variances with a modification of a procedure given by Dudewicz and Dala (1975). This paper derives the appropriate probability equation to be solved so that a correct decision is made with probability at least P*. Tables of the required h values are given for k=1(1)24, P*=.75, .90, .95, .99 and n₀=2(1)15(5)30 where n₀ is the sample size in the first stage of the two-stage procedure.
Wilcox, R. (1977). Partitioning normal populations with respect to a control (CSE Report 112). Los Angeles: University of California, Los Angeles, Center for the Study of Evaluation.|Wilcox, R. (1977). Partitioning normal populations with respect to a control (CSE Report 112). Los Angeles: University of California, Los Angeles, Center for the Study of Evaluation.
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