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Unbiased modified likelihood ratio tests for simple and double separability of a variance–covariance structure


  • Manceur, A.M.
  • Dutilleul, P.


We present modified likelihood ratio tests (LRTs) for simple and double separability of a variance–covariance structure, unbiased in finite samples. The modification is a penalty-based homothetic transformation of the LRT statistic. Optimal penalties, depending on the mean model, contain novel information.

Suggested Citation

  • Manceur, A.M. & Dutilleul, P., 2013. "Unbiased modified likelihood ratio tests for simple and double separability of a variance–covariance structure," Statistics & Probability Letters, Elsevier, vol. 83(2), pages 631-636.
  • Handle: RePEc:eee:stapro:v:83:y:2013:i:2:p:631-636
    DOI: 10.1016/j.spl.2012.10.020

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    References listed on IDEAS

    1. Mitchell, Matthew W. & Genton, Marc G. & Gumpertz, Marcia L., 2006. "A likelihood ratio test for separability of covariances," Journal of Multivariate Analysis, Elsevier, vol. 97(5), pages 1025-1043, May.
    2. Lu, Nelson & Zimmerman, Dale L., 2005. "The likelihood ratio test for a separable covariance matrix," Statistics & Probability Letters, Elsevier, vol. 73(4), pages 449-457, July.
    3. Roy, Anuradha & Leiva, Ricardo, 2008. "Likelihood ratio tests for triply multivariate data with structured correlation on spatial repeated measurements," Statistics & Probability Letters, Elsevier, vol. 78(13), pages 1971-1980, September.
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