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Theory and Method

On the Distribution of a Linear Combination of Independent Chi Squares

Pages 142-144 | Published online: 05 Apr 2012

References

  • Cochran , W. G. 1951 . “Testing a Linear Relation Among Variances,” . Biometrics , 7 March : 17 – 32 .
  • Graybill , F. A. 1961 . An Introduction to Linear Statistical Models , Vol. 1 , New York : McGraw-Hill Book Co. .
  • Huitson , A. 1955 . “A Method of Assigning Confidence Limits to Linear Combinations of Variances,” . Biometrika , 42 December : 471 – 9 .
  • Imhof , J. P. 1961 . “Computing the Distribution of Quadratic Forms in Normal Variables,” . Biometrika , 48 December : 419 – 26 .
  • Kempthorne , O. 1952 . The Design and Analysis of Experiments , New York : John Wiley & Sons, Inc. .
  • Press , S. J. 1966 . “A Confidence Interval Comparison of Two Test Procedures for the Behrens-Fisher Problem,” . Journal of the American Statistical Association , 61 June : 454 – 66 .
  • Robbins , H. and Pitman , E. J. G. 1949 . “Application of the Method of Mixtures to Quadratic Forms in Normal Variates,” . The Annals of Mathematical Statistics , 20 December : 552 – 60 .
  • Ruben , H. 1963 . “A New Result on the Distribution of Quadratic Forms,” . The Annals of Mathematical Statistics , 34 December : 1582 – 4 .
  • Satterthwaite , F. E. 1946 . “An Approximate Distribution of Estimates of Variance Components,” . Biometrics , 2 December : 110 – 4 .
  • Scheffé , H. 1959 . The Analysis of Variance , New York : John Wiley & Sons, Inc. .
  • Welch , B. L. 1956 . “On Linear Combinations of Several Variances,” . Journal of the American Statistical Association , 51 March : 132 – 48 .

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