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Technometrics Volume 26, 1984 - Issue 2
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Original Articles

Confidence Intervals on Linear Combinations of Variance Components in the Unbalanced One-Way Classification

Richard K. Burdick College of Business Arizona State University, Tempe, AZ, 85287
&
Franklin A. Graybill Department of Statistics, Colorado State University, Fort Collins, CO, 80523
Pages 131-136 | Published online: 23 Mar 2012

REFERENCES

  • Burdick , R. K. and Sielken , R. L. 1978 . “Exact Confidence Intervals for Linear Combinations of Variance Components in Nested Classifications,” . Journal of the American Statistical Association , 73 : 632 – 635 .
  • Graybill , F. A. 1976 . Theory and Application of the Linear Model North Scituate , Mass. : Duxbury Press. .
  • Graybill , F. A. and Wang , C. M. 1980 . “Confidence Intervals on Nonnegative Linear Combinations of Variances,” . Journal of the American Statistical Association , 75 : 869 – 873 .
  • Jeyaratnam , S. “Confidence Intervals on Linear Combinations of Parameters,” . paper presented at the National Meetings of the American Statistical Association .
  • Khuri , A. I. 1981 . “Simultaneous Confidence Intervals for Functions of Variance Components in Random Models,” . Journal of the American Statistical Association , 76 : 878 – 885 .
  • La Motte , L. R. 1976 . “Invariant Quadratic Estimators in the Random, One-Way ANOVA Model,” . Biometrics , 32 : 793 – 804 .
  • Satterthwaite , F. E. 1946 . “An Approximate Distribution of Estimates of Variance Components,” . Biometrics Bulletin , 2 : 110 – 114 .
  • Seely , J. F. 1980 . “Some Remarks on Exact Confidence Intervals for Positive Linear Combinations of Variance Components,” . Journal of the American Statistical Association , 75 : 372 – 374 .
  • Swallow , W. H. and Searle , S. R. 1978 . “Minimum Variance Quadratic Unbiased Estimation (MIVQUE) of Variance Components,” . Technometrics , 20 : 265 – 272 .
  • Tate , R. F. and Klett , G. W. 1959 . “Optimal Confidence Intervals for the Variance of a Normal Distribution,” . Journal of the American Statistical Association , 54 : 674 – 682 .
  • Thomas , J. D. and Hultquist , R. A. 1978 . “Interval Estimation for the Unbalanced Case of the One-Way Random Effects Model,” . The Annals of Statistics , 6 : 582 – 587 .
  • Welch , B. L. 1956 . “On Linear Combinations of Several Variances,” . Journal of the American Statistical Association , 51 : 132 – 148 .

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