中国农业科学 ›› 2010, Vol. 43 ›› Issue (10): 2008-2015 .doi: 10.3864/j.issn.0578-1752.2010.10.005

• 作物遗传育种·种质资源·分子遗传学 • 上一篇    下一篇

多性状综合评定的秩和差测验方法

骆汝九,胡治球,宋雯,徐辰武

  

  1. (扬州大学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)
  • 收稿日期:2009-10-10 修回日期:2009-12-31 出版日期:2010-05-15 发布日期:2010-05-15
  • 通讯作者: 徐辰武

A Rank-Sum-Difference Testing Method for Multi-Trait Comprehensive Ranking

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

  1. (扬州大学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:2009-10-10 Revised:2009-12-31 Online:2010-05-15 Published:2010-05-15
  • Contact: XU Chen-wu

摘要:

【目的】多性状综合评价的秩和测验方法,虽可对多性状评价对象进行综合排序,并测验各评价对象与其平均水平的差异显著性,但无法实现各评价对象两两之间的差异显著性测验。为此,本文研究多性状综合评价多重比较的统计测验方法。【方法】在“ :各评价对象在各性状上的秩次随机分布”假设下,以秩和理论分布为基础,利用组合数学方法。【结果】进一步导出了多性状秩和差的理论分布,并据之给出了多性状综合评价秩和差测验的显著性临界值。【结论】通过秩和差测验,确定评价对象两两之间的差异显著性,从而实现评价对象间的多重比较。该方法操作简单,便于实际应用。

关键词: 综合评价, 多重比较, 秩和差测验

Abstract:

【Objective】 The former paper had proposed the rank-sum testing method for multi-trait comprehensive evaluation, which not only can make the multi-trait comprehensive ranking, but also test the significance of difference between evaluation objects and the average level. In this paper, a rank-sum-difference testing method for multi-trait comprehensive evaluation was studied to implement the multiple comparisons among evaluation objects. 【Method】 The theoretical distribution of rank-sum-difference, based on the theoretical distribution of rank-sum, was firstly deduced by using combinatorial mathematics.【Result】 Furthermore, it was used to obtain the critical values for the rank-sum-difference testing in multi-trait comprehensive evaluation. 【Conclusion】 The proposed rank-sum-difference testing method is so simple and convenient that it can be easily used to realize multiple comparisons among various evaluation objects.

Key words: comprehensive evaluation, multiple comparisons, rank-sum-difference testing