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Original Articles

Properties of maximum likelihood estimators of variance components in the one-way classification, balanced data

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Pages 897-914 | Received 01 Oct 1991, Published online: 27 Jun 2007

References

  • Anderson , R. L. and Bancroft , T. A. 1952 . Statistical Theory in Research , New York : McGraw-Hill Book Co .
  • Crump , S. L. 1947 . “The estimation of components of variance in multiple classifications” . Ph.D. Thesis, Iowa State University, Ames , IA : 78
  • Herbach , L. H. 1959 . “Properties of model H-type analysis of variance tests. A: Optimum nature of the F-test for model H in the balanced case” . Annals of Mathematical Statistics , 30 : 583 – 588 .
  • Searle , S. R. 1971 . Linear Models , New York : John Wiley & Sons .
  • Thompson , W. A. 1962 . “The problem of negative estimates of variance components” . Annals of Mathematical Statistics , 33 : 273 – 289 .

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