0474065 20240103214005.720170420235959.9 85014910914 000395716300012 10.1080/07474946.2016.1275501 15 s. P cav_un_epca*02905970747-4946361 (2017)111-125 nonparametric tests sequential ranks stopping variable cav_un_auth*0345793 Stochastická informatika Department of Stochastic Informatics SI SI Department of Stochastic Informatics Kalina Jan UTIA-B Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2017/SI/kalina-0474065.pdf cav_un_auth*0345381 GA17-07384S GA ČR cav_un_auth*0308814 Neuron Nadační fond na podporu vědy CZ Sequential ranks are defined as ranks of such observations, which have been observed so far in a sequential design. This article 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. BA 10000 10100 10101 2018 RVO:67985556 http://hdl.handle.net/11104/0271179 S 3+4 Article Statistics Probability 3+4 Article Statistics Probability 3+4 Article Statistics Probability STATISTICS&PROBABILITY 0.634 0.29 10.6 0.00067 0.343 347 0.318 0.271 31 Q4 21.39 7.7 Q4 Q4 0.35 Q3 7.724 2017 85014910914 SCOPUS PUBMED 000395716300012 WOS cav_un_epca*0290597 Sequential Analysis 0747-4946 1532-4176 Roč. 36 č. 1 2017 111 125