On least favorable configurations for step-up-down tests

On least favorable configurations for step-up-down tests

This paper investigates an open issue related to false discovery rate (FDR) control of step-up-down (SUD) multiple testing procedures. It has been established in earlier literature that for this type of procedure, under some broad conditions, and in an asymptotical sense, the FDR is maximum when the signal strength under the alternative is maximum. In other words, so-called “Dirac uniform confi...

Shared care: step down or step up?

ormal " shared care " in cancer remains controversial. It is promoted as offering patients care closer to home while, at the same time, reducing the burden on specialist services. Primary care practitioners are divided on the issue, some viewing shared care as enhancing their practice and others as another example of hospitals offloading work onto an already overloaded primary care sector. Ther...

On Step-up Tests for Comparing Several Treatments

Consider a one-way layout in which independent observations Xi have distributions F (x− μi) with μi unknown, 1 ≤ i ≤ k. The basic problem is to test the family of subset hypotheses about μi. The step-up test scheme of Welsch (1977) is studied in detail. A general result is given on how to determine the critical values so that the type I familywise error rate is strongly controlled at a preassig...

On Least Favorable Set Fui~ctions

One-Step Targeted Minimum Loss-based Estimation Based on Universal Least Favorable One-Dimensional Submodels.

Consider a study in which one observes n independent and identically distributed random variables whose probability distribution is known to be an element of a particular statistical model, and one is concerned with estimation of a particular real valued pathwise differentiable target parameter of this data probability distribution. The targeted maximum likelihood estimator (TMLE) is an asympto...