Author： Harrar Solomon
Publisher： Taylor & Francis Ltd
ISSN： 0233-1888
Source： Statistics, Vol.39, Iss.5, 2005-10, pp. : 405-414
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Abstract
The asymptotic null distribution of the locally best invariant (LBI) test criterion for testing the random effect in the one-way multivariable analysis of variance model is derived under normality and non-normality. The error of the approximation is characterized as O(1/ n ). The non-null asymptotic distribution is also discussed. In addition to providing a way of obtaining percentage points and p -values, the results of this paper are useful in assessing the robustness of the LBI criterion. Numerical results are presented to illustrate the accuracy of the approximation.
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