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| Titel: |
Approximations for the distribution of a maximal pairwise t in some repeated measure designs |
| Auteur: |
Alberton, Yael Hochberg, Yosef |
| Verschenen in: |
Communications in statistics |
| Paginering: | Jaargang 13 (1984) nr. 22 pagina's 2847-2854 |
| Jaar: |
1984 |
| Inhoud: |
A one factor design is considered where each of the experimental units is repeatedly measured under the same set of various factor levels. A simultaneous procedure is con¬sidered based on the maximal Student-t statistic for all pairwise comparisons. The goal of this work is to investigate the possibility of obtaining simple approximations of the quantiles of that statistic without any assumptions on the variance matrix of the estimated effects. Two approximations are considered which are more radical than the Bonferroni method. The results of our simulations clearly indicate that one of these two approximations does not control the family-wise error rate. The other approximation can not be rejected on such grounds. In fact, on extending a conjecture due to Tukey (1953) (and which is known to be true for some special cases) the second approximation will control the required error rate (if the generalized conjecture was true). Finally, the required critical points for the 'extended Tukey' procedure are shown (by simulation) to be nicely approximated by quantiles from the Studentized Maximum Modulus distribution which are well documented. |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
Details van artikel 2 van 10 gevonden artikelen
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