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Exact inference for multivariate ordered alternatives

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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.

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Authors and Affiliations

  1. Department of Biomedical Sciences, University of Ferrara, via Fossato di Mortara 17/19, 44100, Ferrara, Italy

    Livio Finos

  2. Department of Statistical Sciences, University of Padova, via Cesare Battisti 241, 35121, Padova, Italy

    Fortunato Pesarin & Aldo Solari

  3. Department of Management and Engineering, University of Padova, str. S.Nicola 3, 36100, Vicenza, Italy

    Luigi Salmaso

Authors
  1. Livio Finos
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  2. Fortunato Pesarin
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  3. Luigi Salmaso
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  4. Aldo Solari
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Correspondence to Luigi Salmaso.

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Finos, L., Pesarin, F., Salmaso, L. et al. Exact inference for multivariate ordered alternatives. Stat. Meth. & Appl. 17, 195–208 (2008). https://doi.org/10.1007/s10260-007-0052-x

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  • DOI: https://doi.org/10.1007/s10260-007-0052-x

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