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ANOVA stands for ANalysis Of VAriance, a statistical model and set of procedures for comparing multiple group means. The independent variables in an ANOVA model are categorical, but an ANOVA table can be used to test continuous variables as well.
4
votes
Why does the f-statistic change between nested anova's?
The denominator of the F-statistic is the mean square due to error, which is the residual sum of squares divided by the degrees of freedom for residuals.
In the first table you see:
Residuals 7 11.34 …
3
votes
How are regression, the t-test, and the ANOVA all versions of the general linear model?
This answer that I posted earlier is somewhat relevant, but this question is somewhat different.
You might want to think about the differences and similarities between the following linear models:
$$ …