Comparison of ANOM and ANOMTR Tests with Regard to Performances
YİĞİT, Soner
In this study, one-way ANOM (Analysis of Means) and ANOMTR (Analysis of Means Based on Transformed Ranks) tests were compared in non-normal distributions with homogeneous variances in terms of the Type I error rate and test power. As a result of 100.000 simulation experiments conducted, regardless of the experimental conditions considered, actual Type I error rates occurred in ANOMTR was within the limits of 4.50-5.50%. However, it was observed that actual Type I error rates occurred in ANOM test was generally not within these limits. The ANOM test was found to be affected quite negatively by the kurtosis rather than the skewness of the distribution. As long as the variances were homogeneous, the ANOMTR test has given very reliable results regardless of the shape of the distribution and the number of replications.
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