A Rank-Sum Testing Method for Multi-Trait Comprehensive Ranking and Its Application

作     者：LUO Ru-jiu HU Zhi-qiu KONG Wen-qian SONG Wen XU Chen-wu 

作者机构：Jiangsu Provincial Key Laboratory of Crop Genetics and Physiology/Key Laboratory of Plant Functional Genomics Ministry of Education/ Yangzhou University Yangzhou 225009 P.R. China Lianyungang Technical College Lianyungang 222006 P.R.China 

出 版 物：《Agricultural Sciences in China》 (中国农业科学（英文版）)

年 卷 期：2010年第9卷第8期

页      面：1117-1126页

核心收录：

学科分类：0710[理学-生物学] 0905[农学-畜牧学] 09[农学] 0901[农学-作物学] 0902[农学-园艺学] 090501[农学-动物遗传育种与繁殖] 

基　　金：supported by the National Key Basic Research Program of China(2006CB101700) the Program for New Century Excellent Talents in University of Ministry of Education of China(NCET2005-05-0502) 

主　　题：comprehensive evaluation sum of ranks theoretical distribution critical value 

摘      要：The rank-sum test is a nonparametric method used in variety evaluation. However, the hypothesis testing of the method hasn＇t been established for multi-trait comprehensive ranking. In this paper, under null hypothesis H0： the variety＇s ranking on each trait is random, the theoretical distribution of sum of ranks （SR） was firstly derived and further used to obtain the critical values for multi-trait comprehensive evaluation in rank-sum testing. A new C＋＋ class and its basic arithmetic were defined to deal with the miscount caused by the precision limitation of built-in data type in common statistical software under large number of varieties and traits. Finally, an application of the theoretical results was demonstrated using five starch viscosity traits of 12 glutinous maize varieties. The proposed method is so simple and convenient that it can be easily used to rank different varieties by multiple traits.