Approximating the Probability of Selecting the Best Treatment With A Heteroscedastic Procedure When The First Stage Has Unequal Sample Sizes
Consider k normal distributions having means μ1,..., μk and variances σ21,..., σ2 k. Let μ[1]≥...≥ μ[ k] be the means written in ascending order. Dudewicz and Dalai proposed a two-stage procedure for selecting the population having the largest mean μ[ k] where the variances are assumed to be unknown and unequal. This paper considers an approximate but conservative solution for situations where unequal sample sizes are used in the first stage. The paper also considers how to estimate the actual probability of selecting the “best” treatment; that is, the one having mean μ[ k], after a heteroscedastic ANOVA has been performed.
1987 ◽
Vol 7
(3-4)
◽
pp. 297-305
◽
1984 ◽
Vol 9
(3)
◽
pp. 227-236
◽
1995 ◽
Vol 16
(3)
◽
pp. 124-127
◽
Keyword(s):
2021 ◽
pp. 095440892110331
Keyword(s):
Keyword(s):
2015 ◽
Vol 26
◽
pp. 1-16
◽