A previous study indicated that the Wilcoxon W test showed a power advantage over the
student's t-test when they were calculated on samples drawn from a common mixed-normal distribution. The present study investigates the effect of correcting for outliers in
the mixed-normal samples. The results indicate that the t-test corrected for outliers shows
a superior power curve to the Wilcoxon W.
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References
1.
Blair, R.C. and J.J. Higgins (1980) "The power of t and Wilcoxon statistics, a comparison ." Evaluation Rev.4: 645-655.
2.
Boneau, C.A. (1962) "A comparison of the power of the U and t tests ." Psychology Rev.69: 246-256.
3.
Box, G.E.P. and M.E. Muller (1958) "A note on the generation of random normal deviates ." Annals of Mathematical Statistics29: 610-611.
4.
Bradley, J.V. (1978) "Robustness?" British J. of Mathematical and Statistical Psychology31: 144-152.
Dunlap, W.P. and J. A Duffy (1975) "FORTRAN IV functions for calculating exact probabilities associated with z, Chi-square, t, and F values." Behavior Research Methods and Instrumentation7: 59-60.
7.
Fix, E. and J.L. Hodges, Jr. (1955) "Significance probabilities of the Wilcoxon test." Annals of Methematical Statistics26: 301-312.
8.
Glass, G.V., P.D. Peckham, and J.R. Sanders (1972) "Consequences of failure to meet assumptions underlying the fixed effects analyses of variance and covariance." Rev. of Educ. Research42: 237-288.
9.
Stevens, J.P. (1984) "Outliers and influential data points in regression analysis." Psychological Bull.95: 334-344.
10.
Tabachnick, B.G. and L.S. Fidell (1983) Using Multivariate Statistics. New York: Harper & Row.
11.
Tietjen, G.L. and R.H. Moore (1972) "Some Grubbs-type statistics for the detection of several outliers." Technometrics14: 583-597.
12.
Wilcoxon, F., S.V. Katti, and R.A. Wilcox (1975) "Critical values and probability levels for the Wilcoxon rank sum test and the Wilcoxon signed rank test," in H. L. Harter and D. B. Owen (eds.). Selected Tables in Mathematical Statistics (Vol. 1). Providence, RI: Mathematical Society.