A researcher wants to evaluate a new 12-week behavioral therapy for children diagnosed with oppositional defiant disorder. The researcher implements the therapy with 7 children, and measures the number of outbursts in a week by each child before starting the therapy (baseline), three months after starting therapy, and six months after starting therapy. Is the therapy effective at reducing outbursts in children diagnosed with oppositional defiant disorder? (50 points)

Child Name

Baseline

Month 3

Month 6

Justin

20

10

6

Sarah

25

6

4

Anthony

17

3

3

Melanie

19

7

4

Patrick

12

3

3

Isabelle

18

2

1

Victor

23

3

4

a)What kind of test would you need to run?

b)What is the independent variable (or factor)?

c)What is the dependent variable?

d)What is the statistical notation (for some types of tests, this answer should include the post-hoc notations AS WELL as the overall statistical notation)?

e)Is the test significant? How do you know? (for some types of tests, this answer should include the post-hoc significance AS WELL as the overall significance)

f)What are the means that should be reported (If this is an ANOVA/factorial please include all means to be reported)?

g)What is the complete interpretation (in order to receive full credit you need to include all statistical notation as well as an interpretation of what they mean in context)