A psychologist would like to examine the relative effectiveness of three therapy techniques for treating mild phobias. A sample of N = 15 individuals who display a moderate fear of spiders is obtained. These individuals are randomly assigned (n = 5) to each of the three therapies. The dependent variable is a measure of reported fear of spiders after therapy. The data are as follows:
Therapy A Therapy B Therapy C
8 3 1
5 3 0
5 0 1
7 2 2
5 2 1
1. Use Hypothesis testing to determine if the data indicate that there are significant differences among the three therapies? Test at the .05 level of significance.
Step 1: State Hypothesis
Step 2: Set Criteria
Step 3: Compute Sample Statistic
Use excel to compute F value
Step 4: Make a decision
i. Did you reject the null/fail to reject the null
ii. State your conclusions in your own words
2. Based on the above results can you determine exactly which treatments are different?