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 hypothesi...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.展开更多
针对雷达装备测试性评估这一不确定性、多属性决策问题,依据装备特点和测试性要求,构建了雷达装备测试性评估指标体系。采用改进的模糊层次分析法(fuzzy analytical hierarchy process,FAHP)和熵权法对评估指标进行主客观赋权。在评估...针对雷达装备测试性评估这一不确定性、多属性决策问题,依据装备特点和测试性要求,构建了雷达装备测试性评估指标体系。采用改进的模糊层次分析法(fuzzy analytical hierarchy process,FAHP)和熵权法对评估指标进行主客观赋权。在评估模型中使用相对熵替换逼近理想解排序法(technique for order preference by similarity to an ideal solution,TOPSIS)的欧式距离,同时引入秩和比法(rank-sum ratio,RSR),利用改进的TOPSIS-RSR法对备选方案进行测试性优劣等级分档并排序,通过实例分析验证了该模型的有效性。展开更多
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)
文摘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.
文摘针对雷达装备测试性评估这一不确定性、多属性决策问题,依据装备特点和测试性要求,构建了雷达装备测试性评估指标体系。采用改进的模糊层次分析法(fuzzy analytical hierarchy process,FAHP)和熵权法对评估指标进行主客观赋权。在评估模型中使用相对熵替换逼近理想解排序法(technique for order preference by similarity to an ideal solution,TOPSIS)的欧式距离,同时引入秩和比法(rank-sum ratio,RSR),利用改进的TOPSIS-RSR法对备选方案进行测试性优劣等级分档并排序,通过实例分析验证了该模型的有效性。
