UJI NEW TWO-SAMPLE STUDENTIZED WILCOXON; NEW TWO-SAMPLE STUDENTIZED WILCOXON TEST

Widyawati, Ayu, Herni Utami

2016 | Skripsi | FMIPA

The Wilcoxon rank sum test has been widely used in a broad range of scientific research, including economics, etc. The test is very popular because the simplicity with which it can be performed. In spite of the fact that, most applications of the Wilcoxon rank sum test in accademic journals turn out to be inaccurate. Generally, the Wilcoxon rank sum test rejects the null hypothesis too often, therefore it fails to control the probability of the Type 1 error even asymptotically, thus often give inaccurate conclusion. In addition, common problem of the Wilcoxon rank sum test, rejecting the null hypothesis not because accept the alternative hypothesis, but because the fundamental assumption of the identical distributions fails to hold. Therefore, modified the Wilcoxon rank sum test which called new two-sample studentized Wilcoxon test, consider both of the populations distribution of the sample. The new two-sample studentized Wilcoxon test doesn’t need identical distribution assumption of the two samples, in addition it can control the probability of the Type 1 error asymptotically.

Kata Kunci : mean two sample, permutation test, permutation distribution, Wilcoxon rank sum test.