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Asymptotically efficient rank MANOVA tests for restricted alternatives in randomized block designs

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Abstract

In a randomized block design MANOVA model, for intrablock as well as aligned rank tests for homogeneity of treatment effects against some restricted alternatives, asymptotic optimality is studied by reference to the corresponding restrieted likelihood ratio tests. Tests based on aligned ranks are better than intra-block rank tests when the error distributions are homogeneous aeross the blocks.

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Author information

Authors and Affiliations

  1. Institute of Statistical Sciences, Academia Sinica, 11529, Taipei, Taiwan, Republic of China

    Ming-Tan M. Tsai

  2. Department of Biostatisties, University of North Carolina, 27599-7400, Chapel Hill, NC, U.S.A.

    Pranas Kumar Sen

  3. Department of Siatistics, University of North Carolina, 27599-7400, Chapel Hill, NC, U.S.A.

    Pranas Kumar Sen

Authors
  1. Ming-Tan M. Tsai
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  2. Pranas Kumar Sen
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Additional information

Work of this author was partially supported by the Office of Naval Research, Contract No. N00014-83-K-0987.

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Tsai, MT.M., Sen, P.K. Asymptotically efficient rank MANOVA tests for restricted alternatives in randomized block designs. Ann Inst Stat Math 42, 375–385 (1990). https://doi.org/10.1007/BF00050843

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  • DOI: https://doi.org/10.1007/BF00050843

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