A note on invariance of multiple tests

U. Gather, J. Pawlitschko and I. Pigeot

Statistica Neerlandica, 1997, vol. 51, issue 3, 366-372

Abstract: The property of invariance—well‐known for a single test problem—is extended to multiple test problems. It is shown that the invariance of the components of a multiple test is necessary and sufficient for the multiple test to be invariant. Furthermore, the invariance of stepwise procedures is investigated. An example is given addressing some related aspects.

Date: 1997
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