The multivariate multisample nonparametric rank statistics for the location alternatives
Multisample testing problems are among the most important topics in nonparametric statistics. Various nonparametric tests have been proposed for multisample testing problems involving location parameters, and the analysis of multivariate data is important in many scientific fields. One type of mult...
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Austrian Statistical Society
2017-01-01
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| Series: | Austrian Journal of Statistics |
| Online Access: | http://www.ajs.or.at/index.php/ajs/article/view/130 |
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doaj-f85c2503b60d49c98a93e5b9f08a68a22021-04-22T12:32:28ZengAustrian Statistical SocietyAustrian Journal of Statistics1026-597X2017-01-0146110.17713/ajs.v46i1.130The multivariate multisample nonparametric rank statistics for the location alternativesHidetoshi Murakami0Tokyo University of Science Multisample testing problems are among the most important topics in nonparametric statistics. Various nonparametric tests have been proposed for multisample testing problems involving location parameters, and the analysis of multivariate data is important in many scientific fields. One type of multivariate multisample testing problem based on Jureckova-Kalina-type rank of distance is discussed in this paper. A multivariate Kruskal-Wallis-type statistic is proposed for testing the location parameter with both equal and unequal sample sizes. Simulations are used to compare the power of proposed nonparametric statistics with the Wilks' lambda, the Pillai's trace and the Lawley-Hotelling trace for various population distributions. http://www.ajs.or.at/index.php/ajs/article/view/130 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Hidetoshi Murakami |
| spellingShingle |
Hidetoshi Murakami The multivariate multisample nonparametric rank statistics for the location alternatives Austrian Journal of Statistics |
| author_facet |
Hidetoshi Murakami |
| author_sort |
Hidetoshi Murakami |
| title |
The multivariate multisample nonparametric rank statistics for the location alternatives |
| title_short |
The multivariate multisample nonparametric rank statistics for the location alternatives |
| title_full |
The multivariate multisample nonparametric rank statistics for the location alternatives |
| title_fullStr |
The multivariate multisample nonparametric rank statistics for the location alternatives |
| title_full_unstemmed |
The multivariate multisample nonparametric rank statistics for the location alternatives |
| title_sort |
multivariate multisample nonparametric rank statistics for the location alternatives |
| publisher |
Austrian Statistical Society |
| series |
Austrian Journal of Statistics |
| issn |
1026-597X |
| publishDate |
2017-01-01 |
| description |
Multisample testing problems are among the most important topics in nonparametric statistics. Various nonparametric tests have been proposed for multisample testing problems involving location parameters, and the analysis of multivariate data is important in many scientific fields. One type of multivariate multisample testing problem based on Jureckova-Kalina-type rank of distance is discussed in this paper. A multivariate Kruskal-Wallis-type statistic is proposed for testing the location parameter with both equal and unequal sample sizes. Simulations are used to compare the power of proposed nonparametric statistics with the Wilks' lambda, the Pillai's trace and the Lawley-Hotelling trace for various population distributions.
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| url |
http://www.ajs.or.at/index.php/ajs/article/view/130 |
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AT hidetoshimurakami themultivariatemultisamplenonparametricrankstatisticsforthelocationalternatives AT hidetoshimurakami multivariatemultisamplenonparametricrankstatisticsforthelocationalternatives |
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