In: Statistics and Probability
Twenty clients diagnosed with clinical depression or generalized anxiety disorder were randomly assigned to either receive counseling with either a cognitive-behavioral therapist or participate in group therapy. After 90 days, clients were asked to complete a survey that measured their level of satisfaction with the treatment they received. Higher scores indicate higher level of satisfaction.the data collected are given below:
DepressionAnxietyCognitive-Behavioral713Cognitive-Behavioral912Cognitive-Behavioral814Cognitive-Behavioral68Cognitive-Behavioral514Group1012Group1411Group1114Group810Group1314Copy the table above into Excel and perform a two-fact ANOVA with replication using p= .05. It is important to watch the Excel tutorial for this test before conducting your analysis.
a. State the null hypothesis for both main effects and the interaction effect.
b. Write your statistical conclusion for each main effect and the interaction effect.
c. Provide an interpretation for each main effect and interaction effect.
a. State the null hypothesis for both main effects and the interaction effect.
b. Write your statistical conclusion for each main effect and the interaction effect.
c. Provide an interpretation for each main effect and interaction effect.
depression |
anxiety |
|
Cognitive--behavioral |
7 |
13 |
Cognitive-bahavioral |
9 |
12 |
Cognitive-behavioral |
8 |
14 |
Cognitive-behavioral |
6 |
8 |
Cognitive-behavioral |
5 |
14 |
group |
10 |
12 |
group |
14 |
11 |
group |
11 |
14 |
group |
8 |
10 |
group |
13 |
14 |