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超几何分布参数的精确最优置信区间AI 解读

For a hypergeometric distribution, denoted by Hyper(M,N,n), where N is the population size, M is the number of population units with some attribute, and n is the given sample size, there are two parametric cases: (i) N is unknown and M is given; (ii) M is unknown and N is given. For each case, we first show that the minimum coverage probability of commonly used approximate intervals is much smaller than the nominal level for any n, then we provide exact smallest lower and…

两比例之差的最小单侧置信区间构造AI 解读

For any class of one-sided 1−α confidence intervals with a certain monotonicity ordering on the random confidence limit, the smallest interval, in the sense of the set inclusion for the difference of two proportions of two independent binomial random variables, is constructed based on a direct analysis of coverage probability function. A special ordering on the confidence limit is developed and the corresponding smallest confidence interval is derived. This interval is then…

识别正交饱和设计中活跃效应的逐步上升同时检验AI 解读

A sequence of null hypotheses regarding the number of negligible effects (zero effects) in orthogonal saturated designs is formulated. Two step-up simultaneous testing procedures are proposed to identify active effects (nonzero effects) under the commonly used assumption of effect sparsity. It is shown that each procedure controls the experimentwise error rate at a given α level in the strong sense.

正交饱和设计自适应分析中的错误率控制AI 解读

Individual and simultaneous confidence intervals using the data adaptively are constructed for the effects in orthogonal saturated designs under the assumption of effect sparsity. The minimum coverage probabilities of the intervals are equal to the nominal level $1 - \alpha$.

个体内变异等效性的最优无偏检验AI 解读

The equivalence in average bioavailability between formulations may not be sufficient for assessment of bioequivalence. The difference in intrasubject variability between formulations should also be considered. This article presents an unbiased test procedure for equivalence in intrasubject variability of bioavailability that is uniformly more powerful than the two one-sided tests procedure proposed by Liu and Chow. Under a stronger condition, a uniformly most powerful…