On Locally Most Powerful Sequential Rank Tests

0471297 - ÚI 2018 RIV US eng J - Journal Article
Kalina, Jan
On Locally Most Powerful Sequential Rank Tests.
Sequential Analysis. Roč. 36, č. 1 (2017), s. 111-125. ISSN 0747-4946. E-ISSN 1532-4176
R&D Projects: GA ČR GA17-07384S
Grant - others:Nadační fond na podporu vědy(CZ) Neuron
Institutional support: RVO:67985807
Keywords : nonparametric tests * sequential ranks * stopping variable
OECD category: Pure mathematics
Impact factor: 0.441, year: 2017

Sequential ranks are defined as ranks of such observations, which have been observed so far in a sequential design. This paper studies hypotheses tests based on sequential ranks for different situations. The locally most powerful sequential rank test is derived for the hypothesis of randomness against a general alternative, including the two-sample difference in location or regression in location as special cases for the alternative hypothesis. Further, the locally most powerful sequential rank tests are derived for the one-sample problem and for independence of two samples in an analogous spirit as the classical results of Hájek and Šidák (1967) for (classical) ranks. The locally most powerful tests are derived for a fixed sample size and the results bring arguments in favor of existing tests. In addition, we propose a sequential testing procedure based on these statistics of the locally most powerful tests. Principles of such sequential testing are explained on the two-sample Wilcoxon test based on sequential ranks.
Permanent Link: http://hdl.handle.net/11104/0268685