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Communications in Statistics - Theory and Methods Volume 20, 1991 - Issue 2
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Original Articles

A fitted test for the behrens-fisher problem

Austin F.S. Lee Department of mathematics, Boston university, Boston, MA 02215
&
Naomi S. Fineberg School of medicine, Indiana university, Indianapolis, IN 46223
Pages 653-666 | Published online: 27 Jun 2007

References

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  • Aspin , A.A. 1948 . “An Examination and Further Development of a formula Arising in the Problem of Comparing Two Mean Values,” . Biometrika , 35 : 88 – 96 .
  • Banerjee , S.K. 1960 . “Approximate Confidence Interval for Linear Functions of means of k Populations When the Population Variances Are Not Equal . Sankhya , 22 : 357 – 8 .
  • Best , D.J. and Rayner , J.C.W. 1987 . “Welch's Approximate Solution for the Behrens-Fisher Problem,” . Technometrics , 29 : 205 – 10 .
  • Cochran , W.G. and Cox , G.M. 1957 . “Experimental Designs,” , New York : John Wiley and Sons .
  • Davenport , J.M. and Webster , J.T. 1975 . “The Behrens-Fisher Problem,an Old Solution Revisited,” . Metrika , 22 : 47 – 54 .
  • Fenstad , G.U. 1983 . “A Comparison between the U and V Tests in the Behrens-Fisher Problem,” . Biometrika , 70 : 300 – 2 .
  • Fisher , R.A. 1941 . “The Asymptotic Approach to Behrens'Integral,with Further Tables the d Test of Significance,” . Annals of Eugenics , 11 : 141 – 72 .
  • Lee , A.F.S. 1972 . “Inference Concerning Means of Two Normal Populations,” . In Ph.D.thesis, Department of Statistics , Madison : University of Wisconsin .
  • Lee , A.F.S. and Gurland , John . 1975 . “Size and Power of Tests for Equality of Means of Two Normal Populations with Unequal Variances,” . Journal of the American Statistical Association , 70 : 933 – 41 .
  • McCullough , R.S. , Gurland , J. and Rosenberg , L. 1960 . “Small-Sample Behaviour of certain Tests of the Hypothesis of Equal Means Under Variance Heterogeneity,” . Biometrika , 47 : 345 – 53 .
  • Scheffe , H. 1970 . “Practical Solutions of the Behrens-Fisher Problem,” . Journal of the American Statistical Association , 65 : 1501 – 8 .
  • Wang , Y.Y. 1971 . “Probabilities of the TypeI Errors of the Wclch Tests for the Behrens-Fisher Problem,” . Journal of the American Statistical Association , 66 : 605 – 8 .
  • Welch , B.L. 1937 . “The Significance of the Difference Between Two Means When the Populations Variances Are Unequal,” . Biometrika , 29 : 350 – 62 .
  • Welch , B.L. 1947 . “The Generalization of 'Students,Problem When Several Different Population Variances Are Involved,” . Biometrika , 34 : 28 – 35 .

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