再裂区设计三因素试验结果的二次回归分析法

A QUADRATIC REGRESSION ANALYSIS METHOD OF THE RESULTS OF RESPLIT-PLOT DESIGN WITH THREE EXPERIMENTAL FACTORS

本文根据最小二乘原理提出再裂区设计三因素试验结果的二次回归分析法，包括建立试验指标与试验因素间的三元二次回归方程和显著性检验。此法开辟了分析再裂区试验结果的新途径，能从试验结果中提取新的重要信息，从而提高了试验结果的利用率。

Based on the principle of least squares, a quadratic regression analysis method of the results of resplit-plot design with three experimental factors is presented, which involves the establishment of the quadratic regression equation of an experimental target on three factors and signficance tests. This method sets up a new way to analyze the results of resplitplot experiment. With this method,some new and important imformation of the experiment can be abtained so it increases the using efficiency of resplit-plot experiment. The method is illustrated by a numerical example.