I learnt linear regression before I was introduced to ANOVA/ANCOVA. It helped my understanding to think of one-way ANOVA and ANCOVA using analogies in linear regression.
Can you help me understand how two-way ANOVA and factorial ANOVA are difference from each other and from ANCOVA using linear regression analogies (if there are any)?
Do these ANOVA-based techniques offer anything additional to linear regression?
EDIT: may be a better way to phrase it is in relation to linear regression