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Original Articles

Inverting covariance matrices in unbalanced hierarchical modelsFootnote

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Pages 215-221 | Received 09 May 1994, Published online: 20 Mar 2007

References

  • Graybill , F.A. 1983 . Matrices with Application in Statistics , Belmont, CA : Wadsworth .
  • LaMotte , L.R. 1972 . Notes on the covariance matrix of a random nested ANOVA model . Ann. Math. Statist , 43 : 659 – 662 .
  • Rao , C.R. 1973 . Linear Statistical Inference and Its Applications , New York : John Wiley .
  • Stepniak , C. 1976 . Optimal planning in hierarchical linear experiments with random effects in Polish , Warsaw : Mathematical Institute of the Polish Academy of Sciences .
  • Stepniak , C. 1991a . Inversion of covariance matrices: explicit formulae . SIAM J. Matrix Anal. Appl , 12 : 577 – 580 .
  • Stepniak , C. 1991b . Quadratic unbiased estimation without invariance and its application in the unbalanced one-way random model . J. Statist. Plann. and Inference , 27 : 25 – 35 .

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