A study of the power of the rank transform test in a 23 factorial experiment

Communications in Statistics Part B: Simulation and Computation

Volumn 27, Issue 1, 1998, Pages 259-274

  Choi, Young Hun ^a  

^a Hanshin University   (South Korea)

Author keywords

ANOVA test; Factorial experiment; Monte Carlo simulation; Power; Rank transform

Indexed keywords

EID: 0007934345     PISSN: 03610918     EISSN: None     Source Type: Journal    
DOI: 10.1080/03610919808813478     Document Type: Article

References (16)

1. Akritas, M.G. (1990). "The rank transform method in some two-factor designs," Journal of the American Statistical Association, 85, 73-78.
2. Akritas, M.G. and Arnold, S.F. (1994). "Fully nonparametric hypotheses for factorial designs," Journal of the American Statistical Association, 89, 336-343.
3. Akritas, M.G., Arnold, S.F. and Brunner, E. (1997). "Nonparametric hypotheses and rank statistics for unbalanced factorial designs," To appear : Journal of the American Statistical Association.
4. Blair, R. C., Sawilowsky, S. S. and Higgins, J. J. (1987). "Limitations of the rank transform statistic in tests for interactions," Communications in Statistics, Part B, Simulation and Computation, 16, 1133-1145.
5. Blair, R. C., Sawilowsky, S. S. and Higgins, J. J. (1989). "An investigation of the type I error and power properties of the rank transform procedure in factorial ANOVA," Journal of Educational Statistics, 14, 255-267.
6. Box, G. E. P. and Muller, M. E. (1958). "A note on the generation of random normal deviates," The Annals of Mathematical Statistics, 29, 610-611.
7. Brunner, E. and Neumann, N. (1984). "Rank tests for the 2 × 2 split-plot design," Metrika, 31, 233-243.
8. Brunner, E. and Neumann, N. (1986). "Rank tests in 2 × 2 designs," Statistica Neerlandica, 40, 251-271.
9. Conover, W. J. and Iman, R. L. (1976). "On some alternative procedure using ranks for the analysis of experimental designs," Communications in Statistics, Part A, Theory and Methods, 5, 1349-1368.
10. Hora, S. C. and Conover, W. J. (1984). "The F statistic in the two-way layout with rank score transformed data," Journal of the American Statistical Association, 79, 668-673.
11. Law, A. M. and Kelton, W. D. (1991). Simulation Modeling and Analysis, McGraw-Hill, Inc..
12. Marsaglia, G. (1961). "Generating exponential random variables," Annals of Mathematical Statistics, 32, 899-902.
13. Pavur, R. and Nath, R. (1986). "Parametric versus rank transform procedures in the two-way factorial experiment: A comparative study," Journal of Statistical Computation Simulation, 23, 231-240.
14. Pine, W. R. and Rauch, H. L. (1984). "Simulated efficiencies of tests and estimators from general linear models analysis based on ranks: the two-way layout with interaction," Journal of Statistical Computation Simulation, 20, 197-204.
15. Thompson, G. L. (1991). "A note on the rank transform for interactions," Biometrika, 78, 697-701.
16. Thompson, G. L. (1993). "A correction note on the rank transform for interactions," Biometrika, 80, 711.