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Original Articles

Selecting the normal population with the largest mean when the variances are bounded

Pages 1455-1467 | Received 01 Feb 1988, Published online: 27 Jun 2007

References

  • Bechhofer , R. E. 1954 . “A single-sample multiple decision procedure for ranking means of normal populations with known variances” . Annals of Mathematical Statistics , 25 : 16 – 39 .
  • Bechhofer , R. E. , Dunnett , C. W. and Sobel , M. 1954 . “A two-sample multiple decision procedure for ranking means of normal populations with a common unknown variance” . Biometrika , 41 : 170 – 176 .
  • Bofinger , E. 1985 . “Monotonicity of the probability of correct selection or arc bigger sample sizes better?” . J. R. Statist. Soc. B , 47 : 84 – 89 .
  • Dudewicz , E. J. 1971 . “Nonexistence of a single-sample selection procedure whose P(CS) is independent of the variances” . South African Statistical Journal , 5 : 37 – 39 .
  • Dudewicz , E. J. and Dalai , S. R. 1975 . “Allocation of observations in ranking and selection with unequal variances” . Sankhya , 37B : 28 – 78 .
  • Lam , K. and Chiu , W. K. 1976 . “On the probability of correctly selecting the best of several normal populations” . Biometrika , 63 : 410 – 411 .
  • Rinott , Y. 1978 . “On two-stage procedures and related probability inequalities” . Communications in statistics Theory and Methods , A8 : 799 – 811 .
  • Tong , Y. L. and Wetzell , D. E. 1979 . “On the behaviour of the probability function for selecting the best normal population” . Biometrika , 66 : 174 – 176 .
  • Wilcox , R. R. 1984 . “A table for Rinott's selection procedure” . Journal of Quality Technology , 16 ( 2 ) : 97 – 100 .

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