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Tables of the Studentized Maximum Modulus Distribution and an Application to Multiple Comparisons among Means
Michael R. Stoline and Hans K. Ury
Vol. 21, No. 1 (Feb., 1979), pp. 87-93
Published by: Taylor & Francis, Ltd. on behalf of American Statistical Association and American Society for Quality
Stable URL: http://www.jstor.org/stable/1268584
Page Count: 7
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Tables of the upper α-points mα ;k*,v of the studentized maximum modulus distribution with parameter k* and ν degrees of freedom are given for α = .01, .05, .10, and .20, twelve values of ν, and k* = k(k - 1)/2 for k = 3(1)20. The tables are of use in applying Hochberg's GT2-Method  of multiple comparison and extend the use of this method to cases with k ≤ 20 means. As conjectured in , the GT2-Method is in almost all cases the strongest of several competitors of Spjøtvoll and Stoline's T′-Method  for carrying out the set of k* pairwise comparisons between the means of k groups with arbitrary sample sizes. The auxiliary tables of , in which the T′-Method and other procedures are compared, are extended here. These tables should aid the user in choosing between the T′ and GT2-Methods. The results of the comparisons continue to support the fact that the T′-Method is preferred if the unbalance of the sample sizes is slight and that T′ becomes a stronger competitor as α increases.
Technometrics © 1979 American Statistical Association