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一类改进的 Hochberg–Hommel 混合型逐步递增多重检验程序AI 解读

In this paper we derive a new p-value based multiple testing procedure that improves upon the Hommel procedure by gaining power as well as having a simpler step-up structure similar to the Hochberg procedure. The key to this improvement is that the Hommel procedure can be improved by a consonant procedure. Exact critical constants of this new procedure can be numerically determined. The zeroth-order approximations to the exact critical constants, albeit slightly…

加权 Hochberg 多重检验程序AI 解读

We consider different ways of constructing weighted Hochberg-type step-up multiple test procedures including closed procedures based on weighted Simes tests and their conservative step-up short-cuts, and step-up counterparts of two weighted Holm procedures. It is shown that the step-up counterparts have some serious pitfalls such as lack of familywise error rate control and lack of monotonicity in rejection decisions in terms of p-values. Therefore an exact closed procedure…

基于两阶段抽样回归估计量的统计推断AI 解读

SUMMARY The problem of hypothesis testing using the regression estimator in double sampling is considered. Test procedures are provided when the covariance matrix between the primary and the auxiliary variables is either partially known or completely unknown. For the latter case a new 'studentized' version of the regression estimator is proposed as a test statistic. The exact null distribution of this statistic is derived in a special case. An approximation to the null…