A Note on Testing Hypotheses about Trimmed Means

✍ Scribed by Prof. Rand R. Wilcox

• Publisher: John Wiley and Sons
• Year: 1996
• Tongue: English
• Weight: 420 KB
• Volume: 38
• Category: Article
• ISSN: 0323-3847
• DOI: 10.1002/bimj.4710380205

✦ Synopsis

A well known result is that skewness can cause problems when testing hypotheses about measures of location, particulary when a one-sided test is of interest. Wilcox (1994) reports both theoretical and simulation results showing that when testing hypotheses about trimmed means, control over Type I error probabilities can be substantially better than methods for means. However, at least in some situations. control over the probability of a Type I error might still be judged to be inadequate. One way of adressing this concern is to combine trimmed means with the bootsrap method advocated by Westfall and Yuong (1993). This note reports simulation results indicating that there are situations where substantial improvements over Type I error probabilities are indeed obtained.