Robustness for Pairwise Multiple Comparison Procedures with Trimmed Means under Violated Assumptions : Bonferroni, Shaffer, and Welsch Procedure

  • Published : 1997.12.01

Abstract

Robustness rates for repeated measures pairwise multiple comparison procedures were investigated in a split plot design with one between- and one within-subjects factor using untrimmed and trimmed data. Five factors were manipulated in the study: distribution, sphericity, variance-covariance heteroscedasticity, total sample size, and sample size ratio. The Welsch test (W) and the Welsch test on trimmed data $(W_{RT})$ performed better than the other procedures, but had a liberal tendency. The trimmed difference score Bonferroni Procedure $(B_{DT})$ was a good choice in some conditions.

Keywords

References

  1. Multivariate Behavioral Research v.29 Some alternative approximate tests for a split plot design Algina, J.
  2. British Journal of Mathematical and Statistical Psychology v.31 Robustness? Bradley, J. C.
  3. Exploring data tables, trends, and shapes Summarizing shape numerically: The g-and-h distributions Hoaglin, D. C.;D. Hoaglin(ed.);F. Mosteller(ed.);J. Tukey(ed.)
  4. Journal of Educational Statistics v.19 Stepwise and simultaneous multiple comparisons of repeated measures means Keselman, H. J.
  5. Psychological Bulletin v.110 no.1 Multiple pairwise comparisons of repeated measures means under violation of multisample sphericity Keselman, H. J.;Keselman, J. C.;Shaffer, J. P.
  6. Pariwise multiple comparison procedures: Type Ⅰerror rates and power Kim, H.
  7. Journal of Educational Statistics v.16 A correction for the ε approximate test in repeated measures designs with two or more independent groups Lecoutre, B.
  8. Psychological Bulletin v.105 The unicorn, the normal curve, and other improbable creatures Micceri, T.
  9. Fundamentals of experimental design(3rd ed.) Myers, J. L.
  10. SAS/IML Software: Usage and Reference(Version 6, 1st ed.) SAS Institute Inc.
  11. Exploratory data analysis Tukey, J. W.
  12. Sankyha A v.25 Less vulnerable confidence and significance procedures for location based on a single sample: Trimming/Winsorization 1. Tukey, J. W.;McLaughlin, D. H.
  13. Journal of the American Statistical Association v.72 Stepwise multiple comparison procedures Welsch, R. E.
  14. Tables for stepwise multiple comparison procedures (Working paper No. 949-97) Welsch, R. E.
  15. Biometrical Journal v.32 Comparing the means of two independent groups Wilcox, R. R.
  16. Psychometrika v.57 no.1 Comparing one-step M-estimators of location corresponding to two independent groups Wilcox, R. R.
  17. Biometrika v.61 The two sample trimmed t for unequal population variances Yuen, K. K.
  18. Biometrika v.61 The two sample trimmed t for unequal population variances Yuen,K.K.