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卡方检验准则的 BAN 估计量AI 解读

Wijsman (1959a) developed the theory of BAN estimators of a parameter $\beta$ under some fairly general conditions assuming that $n^{1/2}(y_n - g(\beta)) \rightarrow_L N_s(0, \sigma(\beta))$. The present article considers the complementary, but somewhat more general, approach under the constraint equation model that restricts the parameter $\mu$ so that $f(\mu) = 0$ under general conditions requiring $n^{1/2}(y_n - \mu) \rightarrow_L N_s(0, \sigma^\ast(\mu))$. At the same…

检验匹配比例相等时 Q 统计量的分布AI 解读

The asymptotic distribution of Cochran's Q statistic is obtained under the null hypothesis H 0 for comparing proportions in matched samples under the multinomial model. Simulation studies show that a Satterthwaithe-type approximation provides a better approximation to the limiting distribution than does the chi-square distribution. Also, if by the nature of the problem, H 0 implies the side condition H, which is necessary for Q to have a limiting chi-square distribution,…

检验配对比例相等时 Q 统计量的分布AI 解读

The asymptotic distribution of Cochran's Q statistic is obtained under the null hypothesis H 0 for comparing proportions in matched samples under the multinomial model. Simulation studies show that a Satterthwaithe-type approximation provides a better approximation to the limiting distribution than does the chi-square distribution. Also, if by the nature of the problem, H 0 implies the side condition H, which is necessary for Q to have a limiting chi-square distribution,…