如何正确运用方差分析——析因设计定量资料一元方差分析与SAS实现

How to use analysis of variance correctly——an analysis of variance for the univariate quantitative data collected from the factorial design

本文目的是介绍析因设计及其定量资料的方差分析和SAS实现。析因设计不仅可以呈现全部试验因素的主效应大小,还可以全面反映多因素之间的各阶交互作用效应大小,但此设计所需要的样本含量较多。本文介绍了两因素析因设计定量资料方差分析的计算公式,通过两个实例,借助SAS软件实现了两因素和三因素析因设计定量资料方差分析,并对交互作用效应进行了多重比较。

The purpose of this paper was to introduce the factorial design and its quantitative data analysis of variance and the SAS implementation.Factorial design could not only present the main effect magnitude of all experimental factors,but also comprehensively reflected the size of each-order interaction effect among multiple factors.However,this design required a large sample size.This paper introduced the calculation formulas of the analysis of variance for quantitative data with two-factor factorial design,and realized the analysis of variance for quantitative data with two-factor and three-factor factorial design through two examples with the help of SAS software,and multiple comparisons of interaction effects were also performed.