ON POWER FUNCTION OF A SOMETIMES POOL TEST PROCEDURE IN A ANOVA MODEL – II: A THEORETICAL / NUMERICAL INVESTIGATION
Keywords:
Random-effects model (ANOVA model-Ii), test procedure, power nuisance parameter, preliminary test of significanceAbstract
The present paper deals with a hypothesis testing problem based on conditional specification in a three-way random effect model. A sometimes pool test procedure using two preliminary tests has been proposed for testing the main hypothesis. The power of the proposed test has been proposed for test has been derived. Numerical study of the power and size has been made for certain sets of degrees of freedom. It is found that the power of the proposed test procedure is more than that of the test procedure proposed by Gupta and Singh (1977), for certain set of values of the nuisance parameters. Thus, the proposed method is an improvement over the existing test procedure, incorporating one preliminary test of significance.
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