线性回归分析中重复与非重复性问题研究

Study on the Replication and NonreplicationProblems of Linear Regression Analysis

本文就一元线性回归，分相同水平及不同水平两种情形，讨论了重复与非重复试验对回归方程精度的影响，得到如下结论：相同水平序列下，重复试验的回归精度高于非重复试验；不同水平序列下非重复试验的回归方程的精度在一定条件下可能高于重复试验，并给出了此时应满足的水平设置条件。

This paper discusses the influence of replication and nonreplication samples upon the accuracy of linear regression equations. It concludes that , the regression accuracy of replication in experiment is higher than that of nonreplication when the level value sequence is designed same. In different levels of the independent variable , the reliability of nonreplication can higher than that of replication under the definite condition the paper has proposed.