42
Views
2
CrossRef citations to date
0
Altmetric
Original Articles

Estimation of Error Variance in the Analysis of Experiments Using Two-Level Orthogonal Arrays

&
Pages 75-98 | Published online: 16 Aug 2006

References

  • Brewster , J. F. and Zidek , J. V. 1974 . Improving on equivariant estimators . Ann. Statist. , 2 : 21 – 38 .
  • Brown , L. 1968 . Inadmissibility of the usual estimators of scale parameters in problems with unknown location and scale parameters . Ann. Math. Statist. , 39 : 29 – 48 .
  • Dey , D. K. and Srinivasan , C. 1985 . Estimation of a covariance matrix under Stein's loss . Ann. Statist. , 13 : 1581 – 1591 .
  • Gelfand , A. E. and Dey , D. K. 1988 . Improved estimation of the disturbance variance in a linear regression model . J. Econometrics , 39 : 387 – 395 .
  • Kubokawa , T. 1994 . A unified approach to improving equivariant estimators . Ann. Statist. , 22 : 290 – 299 .
  • Kubokawa , T. 1999 . Shrinkage and modification techniques in estimation of variance and the related problems: A review . Comm. Statist. Theory Methods , 28 : 613 – 650 .
  • Nagata , Y. 1989 . Estimation with pooling procedures of error variance in ANOVA for orthogonal arrays . J. Jap. Soc. Quality Control , 19 : 12 – 19 . (in Japanese.)
  • Srivastava , R. and Tanna , V. 2001 . An estimation procedure for error variance incorporating PTS for random effects model under linex loss function . Comm. Statist. Theory Methods , 30 : 2583 – 2599 .
  • Shinozaki , N. 1995 . Some modifications of improved estimators of a normal variance . Ann. Inst. Statist. Math. , 47 : 273 – 286 .
  • Stein , C. 1964 . Inadmissibility of the usual estimator for the variance of a normal distribution with unknown mean . Ann. Inst. Statist. Math. , 16 : 155 – 160 .

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.