摘要
运用数理统计、集对分析和灰色系统理论,提出了一种新的相关分析方法——同异反灰色相关分析法。介绍了这种分析方法的原理与分析步骤,指出了相关系数的灰色性,分析了相关系数中灰色性产生的根源,解析了相关系数的构成,从相关系数中分离出灰色部分,并提出了同异反分析意义下的相关系数灰色度概念,揭示出数理统计、灰色系统、集对分析三者之间的内在联系。与此同时,结合实例,介绍了这种分析方法在小麦中的具体应用。结果表明,在研究因素之间的相关关系时,除了考虑相关系数的显著性测验外,还要考虑相关系数的灰色度问题。简言之,即只有在r既达到显著水平,又满足较低灰色度(姑且定为0.3以下)的情况下,得到的结论才是比较可靠的。在此基础上,讨论了尚待进一步探讨的问题。表4,参8。
A new correlation analysis method-identical-discrepant-contrary grey correlation analysis method was put forward using mathematical statistics, set pair analysis and grey system theory. The principle and its analysis steps of the method were introduced, the grey nature of γ was pointed out, the cause of producing γ＇ s grey nature was analysed, the composition of γ was resolved, the grey fraction was segregated from γ, and the conception of grey degree of γ in the sease of identical-discrepant-contrary ＇analysis was advanced which revealed the internal connection among mathematical statistics, grey system and set pair analysis. At the same time, the concrete application of the method in wheat was introduced by combining with the example.The result show that while studying the correlation relationship among farters, the problem of grey degree of r should be considered besides the significance test of r, that is to say, only in the conditions of r reaching the significance level and satisfying lower grey degree （temporarily established it as below O. 3 ）, the result obtained is reliable. Based on this, the problems remained to be further studied were discussed.
出处
《农业系统科学与综合研究》
CSCD
2005年第3期170-174,共5页
System Sciemces and Comprehensive Studies In Agriculture
基金
国家农业科技成果转化资金项目(02EFN21400396).
关键词
同异反
灰色系统
相关分析
小麦
identical-discrepant-contrary
grey system
correlation analysis
wheat
