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Technometrics Volume 29, 1987 - Issue 2
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Original Articles

Welch's Approximate Solution for the Behrens–Fisher Problem

D. J. Best Division of Mathematics and Statistics, Commonwealth Scientific and Industrial Research Organization, P.O. Box 52, North Ryde, New South Wales, 2113, Australia
&
J. C. W. Rayner Department of Mathematics and Statistics, University of Otago, P.O. Box 56, Dunedin, New Zealand
Pages 205-210 | Published online: 23 Mar 2012

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  • Davenport , J. M. and Webster , J. T. 1975 . “The Behrens–Fisher Problem, an Old Solution Revisited,” . Metrika , 22 : 47 – 54 .
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  • International Mathematical and Statistical Libraries, Inc . 1982 . Reference Manual, , 9th ed. Houston : Author. .
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  • Mickey , M. R. and Brown , M. B. 1966 . “Bounds on the Distribution Functions of the Behrens–Fisher Statistic,” . Annals of Mathematical Statistics , 37 : 639 – 642 .
  • Ryan , J. A. , Joiner , B. L. and Ryan , B. F. 1982 . MINITAB Reference Manual Boston : Duxbury Press. .
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  • Wang , Y. Y. 1971 . “Probabilities of the Type 1 Errors of the Welch Tests for the Behrens–Fisher Problem,” . Journal of the American Statistical Association , 66 : 605 – 608 .
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