Scientia Agricultura Sinica ›› 2009, Vol. 42 ›› Issue (8): 2686-2694 .doi: 10.3864/j.issn.0578-1752.2009.08.007

• CROP GENETICS & BREEDING·GERMPLASM RESOURCES·MOLECULAR GENETICS • Previous Articles     Next Articles

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

LUO Ru-jiu, HU Zhi-qiu, SONG Wen, XU Chen-wu   

  1. （扬州大学农学院江苏省作物遗传生理重点实验室/教育部植物功能基因组学重点实验室）
  • Received:2008-11-10 Revised:2008-12-26 Online:2009-08-10 Published:2009-08-10
  • Contact: XU Chen-wu

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Abstract:

【Objective】 The rank-sum test is a nonparametric method used in variety evaluation. However, the hypothesis testing theory of this method hasn’t been established for multi-trait comprehensive ranking. 【Method】 In this paper, under null hypothesis: the variety’s ranking on each trait is random. 【Result】 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 test. 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. 【Conclusion】 The proposed method is so simple and convenient that it can be easily used to rank different varieties by multiple traits.

Key words: comprehensive evaluation, sum of ranks, theoretical distribution, critical value

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