Acknowledgement
Supported by : Research Institute for Basic Sciences, SNU
Journal of Korean Society for Quality Management (품질경영학회지)
- Volume 15 Issue 2
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- Pages.50-54
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- 1987
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- 1229-1889(pISSN)
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- 2287-9005(eISSN)
On a Distribution-Free Test for Parallelism of Regression Lines Against Ordered Alternatives
- Song, Moon Sup (Department of Computer Science & Statistics, Seoul National University) ;
- Huh, Moon Yul (Department of Statistics, Sungkyunkwan University) ;
- Kang, Hee Jeong (Department of Computer Science & Statistics, Seoul National University)
- Published : 1987.11.25
Abstract
A distribution-free rank test for parallelism of regression lines against ordered alternatives is considered. The proposed test statistic is based on the Kepner-Robinson's transformation. The null distribution of the proposed statistic is the same as that of the Wilcoxon signed rank statistic. But, the proposed procedure can be applied only to four or fewer regression lines. The results of a small-sample Monte Carlo study show that the proposed test is comparable with the parametric test in heavy tailed distributions.
Keywords