We are studying the relationship between gender and the type of therapy people choose. Three types of therapy were studied: psychoanalysis, cognitive behavioral therapy, and art therapy. Is there are relationship between gender and therapy type?

For each of the following studies, use your decision tree to say 1) which test you would run for this study and 2) why.

a. We are studying the relationship between gender and the type of therapy people choose. Three types of therapy were studied: psychoanalysis, cognitive behavioral therapy, and art therapy. Is there are relationship between gender and therapy type?
b. We are interested in determining whether there is a difference in depression scores between people who have participated in one of three therapy types (psychoanalysis, cognitive behavioral therapy, and art therapy). Depression is measured on a psychological scale assumed to have equal intervals.
c. We are interested in comparing the scores of all people on measures of depression taken before and after participation in therapy.
d. We are interested in whether there is a difference in depression scores based on gender. Depression is measured on a psychological scale assumed to have equal intervals.
e. We are interested in whether there is a relationship between depression and anxiety. Both are measured on psychological scales assumed to have equal intervals.
f. We are interested in whether there is a difference in depression scores based on gender and type of therapy (the three types previously named). Depression is measured on a psychological scale assumed to have equal intervals.