21
Views
3
CrossRef citations to date
0
Altmetric
Original Articles

Numerical Study of Small Sample Variances of Estimators of Variance Components in the Two-Way Factorial Model

Pages 985-1009 | Received 01 Apr 1988, Published online: 27 Jun 2007

Bibliography

  • Bremer , R.H. 1987 . “ The Estimation of Variance Components in Unbalanced Models ” . Texas : Texas A&M University . Unpublished Ph.D. dissertation Texas
  • Bhattacharyya , A. 1946 . On Some Analogs of the Amount of Information and Their Use in Statistical Estimation . Sankhya , 8 : 1
  • Corbeil , R.R. and Searle , S.R. 1976 . A Comparison of Variance Components Estimators . Biometrics , 32 : 779 – 791 .
  • Henderson , C.R. 1953 . Estimation of Variance and Covariance Components . Biometrics , 9 : 226 – 252 .
  • Hocking , R.R. 1985 . The Analysis of Linear Models , Brooks/Cole Publishing Co .
  • Hocking, R.R. (1986). Personal Communication.
  • Hocking , R.R. , Bremer , R.H. and Green , J.W. 1988 . Estimation of Fixed Effects and Variance Components in Mixed Factorial Models Including Model-Based Diagnostics . Technometrics , 31 : 1
  • Hocking , R.R. and Kutner , M.H. 1975 . Some Analytical and Numerical Comparisons for the Mixed A.O.V. Model . Biometrics , 31 : 19 – 27 .
  • LaMotte , L.R. 1970 . “ A Class of Estimators of Variance Components ” . Lexington, KY : University of Kentucky . Technical Report No. 10, Department of Statistics
  • Rao , C.R. 1970 . Estimation of Heteroscedastic Variances in Linear Models . Journal of the American Statistical Society , 65 : 161 – 172 .
  • Searle , S.R. 1971 . Topics in Variance Component Estimation . Biometrics , 27 : 1 – 76 .
  • Speed , F.M. and Hocking , R.R. 1976 . The Use of the R( )-Notation with Unbalanced Data . The American Statistician , 30 : 30 – 33 .
  • Swallow , W .H. and Monahan , J. F. 1984 . Monte Carlo Comparison of ANOVA, MIVQUE, REML, and ML Estimates of Variance Components . Technometrics , 26 : 47 – 57 .
  • Westfall , P.H. 1987 . A Comparison of Variance Components Estimates for Arbitrary Underlying Distributions . Journal of the American Statistical Society , 82 : 866 – 874 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.