@article{oai:seijo.repo.nii.ac.jp:00002217,
 author = {大津, 武},
 issue = {180},
 journal = {成城大學經濟研究},
 month = {Mar},
 note = {P(論文), This paper investigates the discrepancy between the exact and the pseudo p-values of the Wilcoxon unpaired test statistics for several tie patterns. The findings are summarized as follows. First, the discrepancy between the exact and the pseudo p-values tends to be less than 5% when the sample size is greater than 15 for each sample set and the size of the ties takes 15% at most in the sample. Secondly, the exact and the pseudo p-values are very similar at the significance levels from 0.01 to 0.1. Since these levels are frequently used in practice, the statistical testing is less likely to be misleading. Thirdly, existence of mid ranks or a large size of the ties beyond 20% in the sample deteriorates approximations by the pseudo p-values. Finally, the exact p-values are easily obtained with a simple algorithm on a worksheet application when each sample size of two data groups is less than or equal to 16.},
 pages = {1--22},
 title = {Exact and Pseudo P-values in the Wilcoxon Unpaired Test with Ties},
 year = {2008}
}