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Exact inference for multivariate ordered alternatives |
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| Authors: | Livio Finos Fortunato Pesarin Luigi Salmaso Aldo Solari |
| Institution: | (1) Department of Biomedical Sciences, University of Ferrara, via Fossato di Mortara 17/19, 44100 Ferrara, Italy;(2) Department of Statistical Sciences, University of Padova, via Cesare Battisti 241, 35121 Padova, Italy;(3) Department of Management and Engineering, University of Padova, str. S.Nicola 3, 36100 Vicenza, Italy |
| Abstract: | In this paper we discuss three types of ordered alternatives ordered location, stochastic ordering and quadrant dependence. We prove that quadrant dependence is the more general among the three. Then we consider a conditional tests for the equality of c distributions against quadrant dependence in a multivariate setup. An exact simultaneous testing procedure based on dependent conditional tests is presented. Two applications to real data are also given. |
| Keywords: | Combination of dependent permutation tests Multiple testing Order-restricted inference Permutation test Stochastic ordering Quadrant dependence |
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