均匀设计中有重复试验的统计分析

本文先简要介绍有重复试验的回归分析理论及公式 ,再对一个例子重新给以计算及提出问题 ;最后笔者对此类数据的处理及 SAS统计软件包提出讨论意见 ,其中特别对常规的用平均数去取代试验结果的方法及当变量数超过样本数时用流行的逐步回归选取变量法提出批评。

Statistacal Analysis With Repeated Trials in Uniform Design

The weighted regression analysis is listed briefly in paper,and the reciprocal of trial variance is taken as the weight. The theoretical optimal coefficient of determination in data and the degree of lack of fit on the regression function could be estimated.Some problems of SASsoftware are pointed out by an example.Author does not think it is good that using average value of the repeated trial results analyse data and the stepwise procedure of regression analysis select variables if size of variables is more than sample size.