The Comparative Power Evaluation of Parametric Versus Nonparametric Methods

  • Choi, Young-Hun (Associate Professor, Department of Statistics, Hanshin University)
  • 발행 : 1996.12.01

초록

The simulation study shows that the rank transform test has relatively superior power advantages over the parametric analysis of variance test in many cases for a $2^3$ factorial design, particularly with heavy-tailed distributions of the error terms. However the rank transform test should be cautiously used when all main effects and interactions related to a testing effect are possibly present at the same time.

키워드

참고문헌

  1. Communications in Statistics, Part B, Simulation and Computation v.16 Limitations of the Rank Transform Statistic in Tests for Interactions Blair, R. C.;Sawilowsky, S. S.;Higgins, J. J.
  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. The Korean Journal of Applied Statistics v.8 no.2 Simulation Analysis of Type Ⅰ Error and Power for F Test and Rank Transformed F Test in 2² Factorial ANOVA Choi, Y. H.
  4. Communication in Statistics v.A5 On Some Alternative Procedure Using Ranks for the Analysis of Experimental Designs Conover, W. J.;Iman, R. L.
  5. 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.
  6. Simulation Modeling and Analysis Law, A. M/;Kelton, W. D.
  7. Annals of Mathematical Statistics v.32 Generating Exponential Random Variables Marsaglia, G.
  8. Journal of Statistical Computation Simulation v.23 Parametric Versus Rank Transform Procedures in the Two-Way Factorial Experiment: A Comparative Study Pavur, R.;Nath, R.
  9. Journal of Statistical Computation Simulation v.20 Simulated Efficiencies of Tests ad Estimators from General Linear Models Analyssi based on Ranks: The Two-Way Layout with Interaction Pirie, W. R.;Rauch, H. L.
  10. Biometrika v.78 A Note on the Rank Transform for Interactions Thompson, G. L.