Author/Authors :
özdemir, a.fırat dokuz eylül üniversitesi, tınaztepe yerleşkesi - fen fakültesi - istatistik bölümü, turkey , yildiz epe, engin okuz eylül üniversitesi, tinaztepe yerleskesi - fen fakültesi - istatistik bölümü, turkey
Title Of Article :
A TEST FOR COMPARING k INDEPENDENT GROUPS WITH A MEASURE OF LOCATION
Abstract :
It is well known that the conventional method for comparing k independent groups, one-way ANOVA F test, depends on normal theory assumptions. In this work, a new test is proposed which is based on trimmed means and a bootstrap t method. The proposed test, ANOVA F test and its rankbased nonparametric counterpart Kruskal-Wallis test were compared in terms of saving nominal Type I error via Monte Carlo simulations by using moderate sample sizes. It was found that the proposed test copes quite well under normality and homogeneity and it was much more preferable than those two traditional tests under non-normality and heterogeneity of variances.
NaturalLanguageKeyword :
Trimmed mean , Bootstrap , t , Actual type I error , k independent groups
JournalTitle :
Anadolu University Journal of Science and Technology. A : Applied Sciences and Engineering
