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Original Articles

Behrens-fisher problem under the assumption of homogeneous coefficients of variation

Behrens-fisher problem under the assumption

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Pages 637-656 | Received 01 Sep 1976, Published online: 27 Jun 2007

References

  • Box , G.E.P . 1954 . Some theorems on quadratic forms applied in the study of analysis of variance problems . Ann. Math. Statist , 25 : 290 – 302 .
  • Clément, B. (1975a), The approximate distribution of the likelihood ratio test for testing the equality of two means with equal coefficient of variation. Technical report EP-75-R-41, École Polytechnique, Montréal, CANADA.
  • Clément, B. (1975b). Power studies of the likelihood ratio test and other allied tests for a restrictive form of the Behrens-Fisher problem, Technical report EP-75-R-42, École Polytechnique, Montréal, CANADA,
  • Box , G.E.P. , David , F.N. and Johnson , N.L. 1951 . A method of investigating the effect of non-normality and heterogeneity of variance on tests of the general linear hypothesis . Ann. Math.Statist , 22 : 582 – 92 .
  • David , F.N. and Johnson , N.L. 1951 . The effect of non-normality on the power function of the F-test in the analysis of variance . Biometrika , 38 : 43 – 57 .
  • Fryer , H.C. 1966 . Concepts and Methods of Experimental Statistics , Boston : Allyn and Bacon .
  • Gronow , D.G.C. 1951 . Test for the significance of the difference between means in two normal populations having unequal variances . Biometrika , 38 : 252 – 26 .
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  • Lohrding , R.K. 1975 . A two-sample test of equality of coefficients of variation or relative errors . J. Statist. Comput. Simul , 4 : 31 – 36 .
  • Welch , B.L. 1937 . The significance of the difference between two means when the two population variances are unequal . Biometrika , 29 : 550 – 62 .

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