Rank procedures for a large number of treatments |
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| Institution: | 1. Hamline University, 1536 Hewitt Avenue, Saint Paul, MN 55104, United States;2. University of Minnesota, 316D Ruttan Hall, 1994 Buford Avenue, Saint Paul, MN 55108, United States;1. Department of Electrical Engineering, Eindhoven University of Technology, P.O. Box 513, 5600MB, Eindhoven, The Netherlands;2. Department of Neurology, Maastricht University Medical Center, P.O. Box 5800, 6202 AZ, Maastricht, The Netherlands;3. Department of Behavioral Sciences, Epilepsy Center Kempenhaeghe, P.O. Box 61, 5590 VE, Heeze, The Netherlands |
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| Abstract: | In this paper, we prove a novel result about the asymptotic distribution of a class of rank statistics that can be used in a situation where the number of replications is limited, whereas the number of treatments goes to infinity (large k, small n case).The results can be applied to, e.g., data from agricultural screening trials where usually the numbers of factor levels are large, but there are only few replications per factor level. |
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