Question: 54. Consider the mixed model obtained from (115) by replacing the random variables Ai by unknown constants ai satisfying Eo, = O. With (ii) replaced

54. Consider the mixed model obtained from (115) by replacing the random variables Ai by unknown constants ai satisfying Eo, = O. With (ii) replaced by (ii') Eaf/(na'E + ( 2), there again exist tests which are UMP among all tests that are invariant and unbiased, and in cases (i) and (iii) these coincide with the corresponding tests of Problem 53.

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