==== ANOVA的步骤 (Steps of ANOVA) ====
1、陈述原假设H0和备择假设H1,确定进行检验的显著性水平α;
* State H0 and H1.Determine the level of significance α.
2、确定检验的方向性,需要注意的是ANOVA检验总是**单尾检验**;
* Determine the directionality of the test. Notice: the ANOVA test is always a **single tail test**.
3、指出检验的自由度df,注意在ANOVA检验中有两个自由度,分别是组间变异的自由度(k-1)和组内变异的自由度(N-k),其中k为设置水平数,N为总的样本容量;
* Indicate the degree of freedom of the test. Notice: there are two degrees of freedom in the ANOVA test, namely the degree of freedom of inter-group variation (k-1) and the degree of freedom of intra-group variation (N-k), where k is the number of setting levels and N is the total sample capacity.
4、根据组间自由度、组内自由度以及显著性水平α,查表找出临界F统计量的值;
* Find the critical F statistic by looking up the table according to inter-group degrees of freedom, intra-group degrees of freedom and significance level α.
5、对于样本计算F统计量的值,画出如下图所示的方差分析表
{{ ::方差分析表.jpg?nolink&350 |}}
* Calculate the F value of your sample, and draw the ANOVA table as shown in the figure above.
6、比较计算得出的F值和临界F值,如果Fcrit,则接受原假设H0,如果F>Fcrit,则拒绝H0,接受备择假设H1;
* Compare the calculated F value with the critical F value.If Fobs < Fcrit,then accept the null hypothesis; if not, then refuse it and accept the alternative hypothesis.
7、进行事后检验。
* Carry out the post hoc test.