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Miscellany

Maximum likelihood estimation of variance components in a completely random bib design

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Pages 725-756 | Received 01 Mar 1979, Published online: 27 Jun 2007

References

  • Anderson , R.L. 1978 . Recent Developments in Designs and Estimators for Variance Components , Kentucky : University of Kentucky .
  • Anderson , R.L. and Crump , P.P. 1967 . Comparison of Designs and Estimation Procedures for Estimating Parameters in a Two-Stage Nested Process . Technometries , 9 : 499 – 516 .
  • Basson , R.P. 1970 . A Comparison of Variances of Some Estimators in the Balanced Incomplete Block (BIB) Variance Components Model . Biometrics , 26 : 657 – 670 .
  • Bush , N. and Anderson , R.L. 1963 . A Comparison of Three Different Procedures for Estimating Variance Components . Technometries , 5 : 421 – 440 .
  • Cunningham , E.P. and Henderson , C.R. 1968 . An Iterative Procedure for Estimating Fixed Effects and Variance Components in Mixed Model Situations . Biometrics , 24 : 13 – 25 .
  • Fisher , R.A. 1956 . Statistical Methods and Scientific Inference , New York : Hafner Press .
  • Graybill , F.A. 1961 . An Introduction to Linear Statistical Models , New York : McGraw-Hill .
  • Hartley , H.O. and Rao , J.N.K. 1967 . Maximum Likelihood Estimation for the Mixed Analysis of Variance Model . Biometrika , 54 : 93 – 108 .
  • Henderson , C.R. 1953 . Estimation of Variance and Covariance Components . Biometrics , 9 : 226 – 252 .
  • Hocking , R.R. and Kutner , M.H. 1975 . Some Analytical and Numerical Comparisons of Estimators for the Mixed A.O.V. Model . Biometrics , 31 : 19 – 28 .
  • Jennrich , R.I. and Moore , R.H. 1975 . Maximum Likelihood Estimation by Non-Linear Least Squares , 57 – 65 . ASA Proceedings of the Statistical Computing Section .
  • Kapadia , C.H. and Weeks , D.L. 1963 . Variance Components In Two-Way Classification Models with Interaction . Biometrika , 50 : 327 – 334 .
  • Koch , G.C. 1967 . A General Approach to the Estimation of Variance Components . Technometries , 9 : 93 – 118 .
  • Koch , G.C. 1968 . Some Further Remarks Concerning A General Approach to the Estimation of Variance Components . Technometrics , 10 : 551 – 558 .
  • Kutner , M.H. 1971 . Maximum Likelihood Analysis of Balanced Incomplete Block Models , NASA Technical Report .
  • Low , L.Y. 1962 . Estimators of Variance Components in the Two-Way Classification, Eisenhart's Model II (abstract) . Ann. Math. Stat , 33 : 295 – 296 .
  • Low , L.Y. 1969 . Estimators of Variance Components in the Balanced Incomplete Block . J. American Statistical Association , 64 : 1014 – 1030 .
  • Muse , H.D. 1974 . Comparison of Designs to Estimate Variance Components in a Two-Way Classification Model , Kentucky : University of Kentucky, Lexington .
  • Muse , H.D. and Anderson , R.L. 1978 . Comparison of Designs to Estimate Variance Components in a Two-Way Classification Model . Technometrics , 20 : 159 – 166 .
  • Neyman , J. 1935 . Sur un Teoreme concernente le considiette statistiche sufficiente . Gion Inst Ital Att , 6 : 320
  • Searle , S.R. 1971 . Linear Models , New York : Wiley Publishing Co .
  • Thompson , W.O. and Anderson , R.L. 1975 . A Comparison of Designs and Estimators for Two-Staged Nested Random Model . Technometrics , 17 : 37 – 44 .
  • Weeks , D.L. and Graybill , F.A. 1961 . Minimal Sufficient Statistics for Balanced Incomplete Block Designs under Eisenhard Model II . Sankyha , 23 : 261 – 268 .
  • Yat.es , F. 1936 . Incomplete Randomized Blocks . Annas of Eugenics , 7 : 121 – 140 .
  • Yates , F. 1940 . The Recovery of Interblock Information in Balanced Incomplete Block Designs . Annals of Eugenics , 10 : 317 – 325 .

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