Dr. Smith wants to test if there are different levels of preferences in quantitative methodology among clinical Psy.D., clinical Ph.D., and counseling Ph.D. students. He chose randomly 10 doctoral students from each program and asked the question (How much do you think statistics is important?). Students answered in a five-point scale with 1 as "not at all" and 5 as "very important."

• Clinical Psy. D.- 1, 3, 2, 4, 3, 2, 3, 4, 5, 2
• Clinical Ph.D.- 4, 3, 5, 3, 3, 2, 3, 4, 5, 4
• Counseling Ph.D.- 5, 3, 5, 4, 5, 3, 5, 4, 4, 5

a)What is your interpretation of the statistical results (i.e., ANOVA)? (1 point)

b)Calculate effect size () and interpret it. (1 point)

c)Conduct Fisher's LSD post-hoc test for the three pairs. What is the standard error? (1 point)

d)Report Fisher's LSD t-statistics of the three pairs of comparisons and evaluate if the two group means are significantly different.

1)What is the critical t for .05 alpha (two-tailed)? (1 point)

2)Clinical Psy.D. vs. Clinical Ph.D. (1 point)

3)Clinical Ph.D. vs. Counseling Ph.D. (1 point)

4)Clinical Psy.D. vs. Counseling Ph.D. (1 point)