Journal of the Korean Statistical Society

The Korean Statistical Society (한국통계학회)
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Comparison of Several Populations with a Control Involving Folded Normal Distributions

  • Lee, Seung-Ho (Department of Computer Science and Applied Mathematics, Ajou University) ;
  • Lee, Kang-Sup (Department of Mathematics, Dankuk University)
  • Published : 1982.06.01
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Abstract

The problem of comparing k normal populations with a control (or a standard) in terms of the absolute values of their means is considered. Under the framework of indifference-zone formulation a single-state and a two-stage procedures for selecting the best are proposed, according to their commom vairances known or unknown respectively. The procedures guarantee that the probability of correct selection is not less than some preassigned lower limit. Selected tables necessary to implement the procedures are provided.

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References

  1. Ann. Math. Statist. v.25 A Single-Sample Multiple Decision Procedure for Ranking Means of Normal Populations with Known Variances Bechhofer,R.E.
  2. J.Amer. Statist. Assoc. v.73 Two (k+1)-Decision Selection Procedures for Comparing k Normal Means with a Specified Standard Bechhofer,R.E.;Turnbull,B.W.
  3. A New Statistical Methodology Selecting and Ordering Populations Gibbons,J.D.;Olkin,I.;Sobel,M.
  4. Ann. Math. Statist. v.29 A Method for Selecting the Size of the Initial Sample in Stein's Two-Sample Procedure Moshman,J.
  5. Technometrics v.13 Some Selection Problems Imvolving Folded Normal Distribution Rizvi,M.H.
  6. Ann. Math. Statist. v.16 A Two-Sample Test for a Linear Hypothesis Whose Power Is Independent of the Variance Stein,C.
  7. Ann. Math. Statist. v.31 A Useful Generalization of the Stein Two-Sample Procedure Wormleighton,R.