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Original Articles

Robust procedures for multi-sample location problems with unequal group variances

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Pages 125-143 | Received 22 Jun 1982, Published online: 20 Mar 2007

References

  • Andrews , D.F. , Bickel , P.J. , Hampei , F.R. , Huber , P.J , Rogers , W.H. and Tukey , J.W. 1972 . Robust Estimates of Location.Survey and Advances , Princeton, New Jersey : Princeton University Press .
  • Bickel , P.J. 1965 . On some robust estimates of location . Annals of Mathematical Statistics , 37 : 847 – 858 .
  • Brown , M.B. and Forsythe , A.B. 1974 . The small sample behavior of some statistics which test the equality of several means . Technometrics , 16 : 129 – 132 .
  • Cramer , H. 1974 . Mathematical Methods of Statistics , Princeton, New Jersey : 13th printing Princeton University Press .
  • Gross , A.M. 1973 . “ A robust confidence interval for location for symmetric long-tailed distributions ” . In Proceeding of the National Academy of Science Vol. 70 , 1995 – 1997 .
  • James , G.S. 1951 . The comparison of several groups of observations when the ratios of the population variances are unknown . Biometrika , 38 : 324 – 329 .
  • Lee H. Robust procedures for multi-sample location problems. Unpublished Ph.D. thesis, University of Windsor 1982
  • Randles , R.H. and Hogg , R.V. 1973 . Adaptive distribution-free tests . Communications in Statistics , 2 : 337 – 356 .
  • Rocke , D.M , Downs , G.W. and Rocke , A.J. 1982 . Are robust estimators really necessary? . Technometrics , 24 : 95 – 102 .
  • Sen , P.K. 1962 . on studentized non-parametric multi-sample location tests . Annals of the Institute of Statistical Mathematics , 14 : 119 – 131 .
  • Welch , B.L. 1951 . On the comparison of several mean values: an alternative approach . Biometrika , 38 : 330 – 336 .
  • Yuen , K.K. 1974 . The two-sample trimmed t for unequal population variances . Biometrika , 61 : 165 – 170 .

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