Consider the mixed model obtained from (7.68) by replacing the random variables Ai by unknown constants i
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Consider the mixed model obtained from (7.68) by replacing the random variables Ai by unknown constants αi satisfyingαi = 0.With (ii) replaced by (ii
)
α2 i /(nσ2 C + σ2), there again exist tests which are UMP among an tests that are invariant and unbiased, and in cases (i) and (iii) these coincide with the corresponding tests of Problem 7.26.
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Related Book For 
Testing Statistical Hypotheses Volume I
ISBN: 9783030705770
4th Edition
Authors: E.L. Lehmann, Joseph P. Romano
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