Two-stage adaptive tests: Overall p-values and new tests

by Vandemeulebroecke, M.


Preprint series: 04-17, Preprints

The paper is published: Statistica Sinica 2006

62L05 Sequential design
62P10 Applications to biology


Abstract: ABSTRACT Two-stage adaptive tests may be defined in terms of a combination function for the p-values of the separate stages, or alternatively by specifying a conditional error function, i.e. the conditional probability for an erroneous rejection given the first stage. We provide a formal link between these two approaches, and propose a general viewpoint that allows an easy construction of overall p-values and new two-stage tests. One particular test is further characterized.

Keywords: Adaptive design; Combination test; Conditional error function; Fisher\'s combination test; Overall p-value; Two-stage test

Notes: This preprint has been revised and will be published under the title

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