# Analysis of variance (ANOVA) interpretation

1) When do you use an analysis of variance (ANOVA)?

2) What is the within-groups population variance estimate based on? How and why is it affected by the null hypothesis being true or not?

3) What is the between-groups population variance estimate based on? How and why is it affected by the null hypothesis being true or not?

4) What are two sources of variation that can contribute to the between-groups population variance estimate?

5) What is the F ratio; why is it usually about 1 when the null hypothesis is true and why is it usually larger when the null hypothesis is false?

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#### Solution Summary

This 500 word solution responds to five questions about analysis of variance (ANOVA), including sources of variation and why the F statistic is larger when the null hypothesis is not true.