| 摘要: |
| 【目的】完善生物性状非线性相关性的广义相关系数理论体系，为实际育种工作提供一套完整的理论体系。【方法】 采用构造综合指标，借助于一元线性回归模型，对度量生物性状线性、非线性相关性的广义相关系数的抽样分布及假设检验问题进行研究。【结果】 该广义相关系数服从F分布或t分布，可用F检验或者t检验对该相关系数与0之间的差异显著性进行检验。【结论 】 建立的广义相关系数检验方法计算简单、无信息损失，线性与非线性广义相关系数的定义、性质、抽样分布及假设检验问题都予以解决，丰富了多元统计学内容。 |
| 关键词: 广义相关系数 非线性相关 抽样分布 假设检验 |
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| 基金项目:国家自然科学基金项目（30571072）；渭南师范学院研究生项目（09YKZ007） |
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| Sampling distribution and hypothesis testing with generalized correlation coefficient of biology trait |
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| Abstract: |
| 【Objective】 The recearch was done in order to complete generalized correlation coefficient theory system of biology trait and provide the whole theory system for breeding operation.【Method】 The sampling distribution and hypothesis testing of this non linear generalized correlation coefficient to measure biology trait was studied with linear regression model.【Result】 The testing of this non linear generalized correlation coefficient is Ftesting or t testing with correlation coefficient 0.【Conclusion】 The definition,nature,sampling distribution and hypothesis testing have been solved,the whole theory system for Mutivariate statistics analysis has been enriched and the testing method is simple. |
| Key words: generalized correlation coefficient non-linear correlation sampling distribution hypothesis testing |
