固定效应方差分析中四种离差平方和的定义与探讨

The Definition and Application of the Four Types of Sum of Squares in ANOVA

目的系统介绍并探讨固定效应方差分析中四种离差平方和计算方法,为正确进行方差分析提供参考。方法介绍四种离差平方和的原理,结合实例展示具体计算过程和它们相互间的联系,并用SPSS和SAS软件验证。结果对相关理论和具体计算方面都给出了较详尽的过程。结论方差分析应根据数据特征选择离差平方和的计算方法。

Objective By giving a comprehensive introduce to the four types of sums of squares in ANOVA so as to use them properly.Methods First,we expounded the theories of them in detail;Then,the computational procedure and the relation betw een them w ere show ed by an example,SPSS and SAS w ere used for validation.Results The theories and calculation methods w ere present relatively thoroughly in this paper.Conclusion Each type of the sums of squares has their own advantage,w hich to choose depends on the data structure and its ow n characters.