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Jason Hsu's Multiple Comparisons: Theory and methods PDF

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Likewise, a large p-value associated with a test of equality may indicate either a truly small difference between the treatments, or simply too small a sample size relative to noise. It is interesting to note that, recognizing the inadequacy of p-values, the British Medical Journal has had an editorial policy which requires the presentation of confidence intervals whenever possible (Langman 1986; Gardner and Altman 1986), with 'confidence intervals' being an item on its statistical check list (Gardner, Machin, and Campbell 1986).

T3 would indeed be correct). ti - d1o-V2Jn}' which incidentally is the usual one-sided size-a t-test. t3 would indeed be correct). t2- d1a~}, which incidentally is the usual one-sided size-a t-test. 3 can be asserted. 1. t;}- d1a~}, which is an example of what Roger Berger {1982) calls an intersectionunion test. See Exercise 1. 1 depend on jL 1 , jL2, jL 3 , and are tedious to describe. t 3, i = 1, 2, that result are as described in the stepdown method. To gain an understanding of the step down method for general k, let the random variable M4- be the largest integer such that T[i] ~ di, with the understanding that if no such integer e-xist, then M.!.

Thus, the inference given by this stepdown method can be upgraded to confidence bounds, making it a confidence interval MCC method. It is this confidence bounds version that is presented below. Although the stepdown method has been generalized to the case of unbalanced designs by Bofinger (1987) and Dunnett and Tamhane (1991), for simplicity our description is restricted to the balanced one-way setting. Let tli - tlk . Ti= a/2(ii' z=1, ... ,k-1, and let [1], [2], ... ) In other words, [i] is the anti-rank of Ti among T1, ...

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