I have a design involving 1 between-subjects categorical factor, 1 between-subjects continuous factor and 2 within-subjects categorical factors.
This is theoretically a case of multiple regression, but as in this question here, I was able to use lm() in R to specify my model (actually, using the aov.car() function in the afex package).
This means that my output was in the form of an ANOVA table, with F and p-values. Can I report my analysis as though it was an ANOVA, or should I find a way to force the output of regression coefficients and report the analysis as though it were a multiple regression? I know that I shouldn't use an ANCOVA in this case, because my continuous predictor variable is certainly not a nuisance variable!
Best Answer
You can get an ANOVA table even if your model is a simple linear regression with a continuous variable. There is nothing invalid about that. You can consult the journal to see if there are conventions that they prefer stylistically, but you can report the $F$ and $p$ values from the ANOVA table.
On the other hand, if you want to know the point estimates for your effects (e.g., the slope of your continuous variable), you will need different output to see them.