Robustness of Multiple Comparison Procedures: Treatment versus Control
作者:
P. E. Rudolph,
期刊:
Biometrical Journal
(WILEY Available online 1988)
卷期:
Volume 30,
issue 1
页码: 41-45
ISSN:0323-3847
年代: 1988
DOI:10.1002/bimj.4710300106
出版商: WILEY‐VCH Verlag
关键词: Multiple comparison procedure;Error rate;Robustness;Nonnormality;Variance heterogeneity
数据来源: WILEY
摘要:
AbstractComputer simulation techniques were used to investigate the Type I and Type II error rates of one parametric (Dunnett) and two nonparametric multiple comparison procedures for comparing treatments with a control under nonnormality and variance homogeneity. It was found that Dunnett's procedure is quite robust with respect to violations of the normality assumption. Power comparisons show that for small sample sizes Dunnett's procedure is superior to the nonparametric procedures also in non‐normal cases, but for larger sample sizes the multiple analogue to Wilcoxon and Kruskal‐Wallis rank statistics are superior to Dunnett's procedure in all considered nonnormal cases. Further investigations under nonnormality and variance heterogeneity show robustness properties with respect to the risks of first kind and power comparisons yield similar results as in the equal variance c
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