Comparison of Tukey's T-Method and Scheffé's S-Method for Various Numbers of All Possible Differences of Averages Contrasts Under Violation of Assumptions
- 1 October 1974
- journal article
- research article
- Published by SAGE Publications in Educational and Psychological Measurement
- Vol. 34 (3) , 511-519
- https://doi.org/10.1177/001316447403400304
Abstract
Empirical .05 and .01 rates of Type I error were compared for the Tukey and Scheffé multiple comparison techniques. The experimentwise error rate was defined over five sets of the all possible 25 differences of averages contrasts. The robustness of the Tukey and Scheffé statistics was not only related to the type of assumption violation, but also to the sets containing different numbers of contrasts. The Tukey method could be judged as robust a statistic as the Scheffé method.Keywords
This publication has 7 references indexed in Scilit:
- The Effect of Unequal Group Size on Tukey's HSD ProcedurePsychometrika, 1971
- Error rates for multiple comparison methods: Some evidence concerning the frequency of erroneous conclusions.Psychological Bulletin, 1969
- The experiment as the unit for computing rates of error.Psychological Bulletin, 1962
- Multiple comparison in psychological research.Psychological Bulletin, 1959
- Permutation Theory in the Derivation of Robust Criteria and the Study of Departures from AssumptionJournal of the Royal Statistical Society Series B: Statistical Methodology, 1955
- Some Theorems on Quadratic Forms Applied in the Study of Analysis of Variance Problems, II. Effects of Inequality of Variance and of Correlation Between Errors in the Two-Way ClassificationThe Annals of Mathematical Statistics, 1954
- Some Theorems on Quadratic Forms Applied in the Study of Analysis of Variance Problems, I. Effect of Inequality of Variance in the One-Way ClassificationThe Annals of Mathematical Statistics, 1954