Journal of the Korean Statistical Society

The Korean Statistical Society (한국통계학회)
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Asymptotically Distribution-Free Procedure in a Two-Way Layout

  • Park, Young-Hun (Department of Statistics, Hanshin University, Osan 447-791)
  • Published : 1995.12.01
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Abstract

Main purpose of this article is to consider the asymptotic distribution of the rank transformed F statistic for interaction in a two-way layout. Some theorems and sufficient conditions are derived to have the rank transformed F statistic converged in distribution to a chi-squared random variable with (I-1)(J-1) degrees of freedom divided by (I-1)(J-1). These results will be useful for the other theoretical studies of the rank transform procedure in experimental designs.

Keywords

References

  1. Journal of the American Statistical Association v.89 Fully Nonparametric Hypotheses for Factorial Designs Akritas,M.G.;Arnold,S.F.
  2. Journal of the Korean Statistical Society v.23 Rank Transform F Statistic in a 2 × 2 Factorial Design Choi,Y.H.
  3. American Statistician v.35 Rank Transformations as a Bridge Between Parametric and Nonparametric Statistics Conover,W.J.;Iman,R.L.
  4. Journal of the American Statistical Association v.86 On the Problem of Interactions in the Analysis of Variance Fabian,V.
  5. Theory and Application of the Linear Model Graybill,F.A.
  6. Annals of Mathematical Statistics v.39 Asymptotic Normality of Simple Linear Rank Statistics under Alternatives Hajek,J.
  7. Biometrika v.78 no.3 A Note on the Rank Transform for Interactions Thompson,G.L.