Question

Suppose the director a drug rehabilitation center selected 30 individuals from the population of applicants to her program and randomly assigned 10 to treatment 1, 10 to treatment 2 and 10 to treatment 3. After 5 weeks of treatment, a manual dexterity test is administered for which a higher score indicates greater manual dexterity. Suppose the scores on the manual dexterity test are as follows:

Treatment 1	Treatment 2	Treatment 3
6	4	6
10	2	2
8	3	2
6	5	6
9	1	4
8	3	5
7	2	3
5	2	5
6	4	3
5	4	4

Question Parts:

A. Compute the ANOVA for the data using SPSS.

B. Verify manually (work out using pencil/paper) that h²matches your SPSS result. Make sure to show your work.

C. Compute ω²for the data.

D. In not more than 5 lines summarize your findings including interpreting the results of your analysis in the context of the problem. Make sure to refer to the means, F statistic, p-value, effect size etc. in your write-up.

Answer 1

a)

H0: There is no significance difference among the means of three treatments

H1: There is significance difference among the means of three treatments

Let the los be alpha = 5%

From SPSS output

Here P-value = 0.000 < alpha 0.05 so we reject H0

Thus we conclude that there is significance difference among the means of three treatments

b)

From the given data

	1	2	3	4	5	6	7	8	9	10	Total	Ti^2/ni
Treatment 1	6	10	8	6	9	8	7	5	6	5	70	490
Treatment 2	4	2	3	5	1	3	2	2	4	4	30	90
Treatment 3	6	2	2	6	4	5	3	5	3	4	40	160
										Total:	140	740

Here P-value < alpha 0.05

so we reject H0

Thus we conclude that there is significance difference among the means of three treatments