Rank procedures for a large number of treatments

被引：10
作者：
Bathke, A
Lankowski, D
机构：
[1] Univ Kentucky, Dept Stat, Lexington, KY 40506 USA
[2] Univ Gottingen, Inst Mathemat Stochast, D-37073 Gottingen, Germany
来源：
JOURNAL OF STATISTICAL PLANNING AND INFERENCE | 2005年 / 133卷 / 02期
关键词：
analysis of variance; nonnormality; type 1 error robustness; rank statistics; nonparametric models;
D O I：
10.1016/j.jspi.2004.03.020
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
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. (c) 2004 Elsevier B.V. All rights reserved.
引用
收藏
页码：223 / 238
页数：16
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