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Finally, we wish to point out students often use ANOVA to compare the equality of means of exactly two population. It is important to realize that by doing this, you are making the assumption that the population have equal variances (assumption 3). Thus, you will find that the p-values for both ANOVA and the t-test: Two-sample Assuming Equal Variance will be the sme and lead to same conclusion. However. if the variances are unequal as is generally the case with sample data , ANOVA may lead to n erroneous conclusion. We recommend that you do not use ANOVA for comparing the means of two population, but instead use the appropriate t-test that assumes enequal variances.
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方差分析主要用于检验2个组以上分组是否存在差异。应用方差分析对资料进行统计推断之前应注意其使用条件，包括：
1、可比性。若资料中各组均数本身不具可比性则不适用方差分析。
2、正态性。即偏态分布资料不适用方差分析。对偏态分布的资料应考虑用对数变换、平方根变换、倒数变换、平方根反正弦变换等变量变换方法变为正态或接近正态后再进行方差分析。
3、方差齐性。即若组间方差不齐则不适用方差分析。多个方 ...
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