Is a two-way Manova the same as a 2x2 Manova?
The two-way multivariate analysis of variance (two-way MANOVA) is often considered as an extension of the two-way ANOVA for situations where there is two or more dependent variables
Whereas
2 × 2 is a type of manova design or , for example..
Suppose a researcher in psychotherapy interested in the treatment
efficacy of depression randomly assigned clinic patients into four conditions:
(1) a placebo control group who received typical clinic psychotherapy and a placebo drug;
(2) a placebo cognitive therapy group who received the placebo medication and systematic cognitive psychotherapy
(3) an active antidepressant medication group who received thetypical clinic psychotherapy;
(4) an active medication group who received cognitive therapy.
This is a (2 x 2) factorial design with medication (placebo versus drug) as one factor and type of psychotherapy (clinic versus cognitive) as the second factor.
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