组内常相关样本的抽样分布  

The Sampling Distribution of the Intraclass Constant Correlation Samples

作　　者：张荣基[1] 张树美[1] 杨静梅[2] 

机构地区：[1]广西民族学院数学与计算机科学系,广西南宁530006 [2]河北科技大学高新学院,河北石家庄050031

出　　处：《河北科技大学学报》2003年第1期73-76,共4页Journal of Hebei University of Science and Technology

基　　金：广西民族学院资助课题(02SJX0007)

摘　　要：生物中的家畜育种试验,不同亲本的后代,它们的初生体重是相互独立的;而同一亲本的后代,由于受到共同亲本遗传相关的影响,彼此之间具有相关性。文章以此为背景,讨论从正态总体中分组抽样,在组间的个体相互独立,组内具有常相关情形下的抽样分布问题,给出了服从U,X^2,t分布的几个统计量,改进了家畜实验中数据的统计分析方法。The results of animal breeding experiments show that the physical weights of the offsprings of the different parents are indeaendent ,and the physical weights of the offsprings of the same parents are correlative for the offsprings are affected by the genetic correlation. On the basis of the above mentioned and by the group sampling from the nomal overall,the paper discusses the sampling distribution question where there is a constant correlation within a group and independence between the different groups of the sample individuals. It also provides some statistics of keeping the U distribution,the X2 distribution and the t distribution. As a result,the methods of the data statistic analysis in the animal breeding experiments can be improved.

关 键 词：常相关 抽样分布 统计推断 

分 类 号：O212.2[理学—概率论与数理统计]