In case I have three categorical variables with more than two groups and I want to study their effect on a variable that is measured on a continuous scale. Is it enough to run three-way ANOVA or one-way then two-way then three-way? Why? Doesn’t three-way ANOVA include one-way and two-way in its outputs?
Similarly, does one-way ANOVA combined with post hoc suffice for multiple two samples t-tests?
Thanks in advance,