Exact power comparison of three criteria to assess the independence between two sets of variates
Titel:
Exact power comparison of three criteria to assess the independence between two sets of variates
Auteur:
Ushizawa, K. Sugiyama, T.
Verschenen in:
Communications in statistics
Paginering:
Jaargang 21 (1992) nr. 10 pagina's 2741-2756
Jaar:
1992
Inhoud:
Powers of the three criteria are evaluated for testing the hypothesis of the independence between a -set and a q-set of variates in a (p + q) -variate normal population. They are: (1) the likelihood ratio type criterion, Wt (2) the largest root criterion, r1, and (3) criterion of the sum of roots, V. For p= 2, Pillai and Jayachandran, and others have studied for the restricted range of the alternative hypothesis. Recently the power of the largest root was investigated in detail by Sugiyama and %%. In this paper, their power functions are compared in a wide range of the alternative hypotheses. The powers of rl and V are locally optimum, but the W shows a large power in a wide range.
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