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2004-17

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

by Vandemeulebroecke, M..


Series: 2004-17, Preprints

MSC:
62L05 Sequential design
62P10 Applications to biology and medical sciences

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

This paper was published in:
Statistica Sinica 2006