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多项试验中线性与对数线性假设的局部渐近最强检验AI 解读

We derive Neyman's locally asymptotically most powerful test criterion to test a linear hypothesis, and in particular, obtain such criteria to test linear hypotheses in binomial and multinomial experiments. We also discuss testing log-linear hypotheses in the parameters of a multinomial experiment, and give a simple criterion for testing the hypothesis of no second order interaction in a p × q × r (p, q, r, > 2) contingency table. Asymptotic tests of the hypotheses mentioned…

多项试验中线性与对数线性假设的局部渐近最强检验AI 解读

We derive Neyman's locally asymptotically most powerful test criterion to test a linear hypothesis, and in particular, obtain such criteria to test linear hypotheses in binomial and multinomial experiments. We also discuss testing log-linear hypotheses in the parameters of a multinomial experiment, and give a simple criterion for testing the hypothesis of no second order interaction in a p × q × r (p, q, r, > 2) contingency table. Asymptotic tests of the hypotheses mentioned…