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A note on the modified two-way MANOVA tests

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  • Zhang, Jin-Ting
  • Xiao, Shengning

Abstract

For heteroscedastic two-way MANOVA, the so-called modified MANOVA tests proposed recently are too conservative, not powerful and not affine-invariant. In this note, we show how they can be improved and can be made affine-invariant. A real data example and some simulation studies are used to illustrate and demonstrate the methodologies.

Suggested Citation

  • Zhang, Jin-Ting & Xiao, Shengning, 2012. "A note on the modified two-way MANOVA tests," Statistics & Probability Letters, Elsevier, vol. 82(3), pages 519-527.
  • Handle: RePEc:eee:stapro:v:82:y:2012:i:3:p:519-527
    DOI: 10.1016/j.spl.2011.12.005
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    References listed on IDEAS

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    1. Krishnamoorthy, K. & Yu, Jianqi, 2004. "Modified Nel and Van der Merwe test for the multivariate Behrens-Fisher problem," Statistics & Probability Letters, Elsevier, vol. 66(2), pages 161-169, January.
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    Cited by:

    1. Xu, Li-Wen, 2015. "Parametric bootstrap approaches for two-way MANOVA with unequal cell sizes and unequal cell covariance matrices," Journal of Multivariate Analysis, Elsevier, vol. 133(C), pages 291-303.
    2. Balduíno César Mateus & Mateus Mendes & José Torres Farinha & Rui Assis & António Marques Cardoso, 2021. "Comparing LSTM and GRU Models to Predict the Condition of a Pulp Paper Press," Energies, MDPI, vol. 14(21), pages 1-21, October.

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