Journal of the Korean Statistical Society

  • 제25권3호
  • /
  • Pages.419-432
  • /
  • 1996
  • /
  • 1226-3192(pISSN)
  • /
  • 2005-2863(eISSN)
한국통계학회 (The Korean Statistical Society)
권호 표지

The Nonparametric Test for Detecting Main Effects for Three-Way ANOVA Models

  • 발행 : 1996.09.01
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초록

When interactions are not present in a three-way layout, the lim-iting null distribution of the F statistic for testing main effects when applied to the rank-score transformed data is the same as the limiting null distribution of the usual F statistic when applied to the normal data. The simulation results exhibit that the rank transform test is robust with respect to significance level and powerful for testing main effects in a three-way factorial experiment.

키워드

참고문헌

  1. Journal of the American Statistical Association v.89 Fully Nonparametric Hypotheses for Factorial Designs Akritas, M. G.;Arnold, S. F.
  2. The Annals of Mathematical Statistics v.29 A Note on the Generation of Random Normal Deviates Box, G. E. P.;Muller, M. E.
  3. Theory and Application of the Linear Model Graybill, F.A.
  4. The Annals of Mathematical Statistics v.39 Asymptotic Normality of Simple Linear Rank Statistics under Alternatives Hajek, J.
  5. Theory of Rank Tests Hajek, J.;Sidak, Z.
  6. Journal of the American Statistical Association v.79 The F Statistic in the Two-Way Layout with Rank Score Transformed Data Hora, S. C.;Conover, W. J.
  7. Simulation Modeling and Analysis Law, A. M.;Kelton W. D.
  8. Annals of Mathematical Statistics v.32 Generating Exponential Random Variables Marsaglia, G.
  9. Journal of Educational Statistics v.14 An Investigation of the Type Ⅰ Error and Power Properties of the Rank Transform Procedure in Factorial ANOVA Sawilowsky, S. S.;Blair R. C.;Higgins, J. J.