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Original Articles

Confidence Intervals and Bounds for a Ratio of Summed Expected Mean Squares

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Pages 437-444 | Published online: 12 Mar 2012

REFERENCES

  • Cochran , W. G. 1951 . “Testing a Linear Relation Among Variances,” . Biometrics , 7 : 17 – 32 .
  • Davenport , J. M. 1975 . “Two Methods of Estimating the Degrees of Freedom of an Approximate F,” . Biometrika , 62 : 682 – 684 .
  • Davenport , J. M. and Webster , J. T. 1973 . “A Comparison of Some Approximate F-tests,” . Technometrics , 15 : 779 – 789 .
  • 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. and Graybill , F. A. 1980 . “Confidence Intervals on Variance Components in Three-Factor Cross-Classification Models,” . Technometrics , 22 : 375 – 380 .
  • Lu , T.-F. C. , Graybill , F. A. and Burdick , R. K. 1987 . “Confidence Intervals on the Ratio of Expected Mean Squares (θ 1θ 2)/θ3“ . Biometrics , 43 : 535 – 543 .
  • Myers , R. H. and Howe , R. B. 1971 . “On Alternative Approximate F Tests for Hypotheses Involving Variance Components,” . Biometrika , 58 : 393 – 396 .
  • Satterthwaite , F. E. 1941 . “Synthesis of Variance,” . Psychometrika , 6 : 309 – 316 .
  • Satterthwaite , F. E. 1946 . “An Approximate Distribution of Estimates of Variance Components,” . Biometric Bulletin , 2 : 110 – 114 .
  • Smith , H. F. 1936 . “The Problem of Comparing the Results of Two Experiments With Unequal Errors,” . Journals of the Council of Scientific and Industrial Research , 9 : 211 – 212 .
  • Ting , N. , Burdick , R. K. , Graybill , F. A. , Jeyaratnam , S. and Lu , T.-F. C. 1990 . “Confidence Intervals on Linear Combinations of Variance Components That Are Unrestricted in Sign,” . Journal of Statistical Computation and Simulation , 35 : 135 – 143 .
  • Wang , C. M. 1988 . “One-Sided Confidence Intervals for the Positive Linear Combination of Two Variances,” . Communications in Statistics–Computation and Simulation , 17 : 283 – 292 .

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