An approximate test of variance homogeneity based on grubbs' estimators
Titel:
An approximate test of variance homogeneity based on grubbs' estimators
Auteur:
Bradley, Ralph A. Brindley, Dennis A.
Verschenen in:
Communications in statistics
Paginering:
Jaargang 15 (1986) nr. 1 pagina's 27-34
Jaar:
1986
Inhoud:
Consider a two-way, n x r, classification or a randomized block design with n treatments and r blocks. The usual model is modified so that error components have variances [image omitted] for the j-th column or block. Let Qj: be Grubbs1 estimator of [image omitted] An approximate test of the hypothesis[image omitted] is proposed and based on the statistic, -½(n-1)(r-1)(n-2) log Tr, where [image omitted] , which is taken to have the central chi-square distribution with (r-1) degrees of freedom. Simulation studies for r=3(1)6(2)12 and n=10, 20, 30, 50 confirm that the approximate distribution is satisfactory for applications.
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