Nonparametric methods in multivariate factorial designs for large number of factor levels |
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| Authors: | Arne C. Bathke Solomon W. Harrar |
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| Affiliation: | 1. Department of Statistics, University of Kentucky, 875 Patterson Office Tower, Lexington, KY 40506-0027, USA;2. Department of Mathematical Sciences, University of Montana, Missoula, MT 59812, USA |
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| Abstract: | We propose different multivariate nonparametric tests for factorial designs and derive their asymptotic distribution for the situation where the number of replications is limited, whereas the number of treatments goes to infinity (large a, small n case). The tests are based on separate rankings for the different variables, and they are therefore invariant under separate monotone transformations of the individual variables. |
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| Keywords: | 62G10 62G20 62H10 62H15 62J10 |
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