Question

. The data is separated into 3 columns – Deep Breathing, Visualization, Leisurely Walk. This time, the difference scores are entered directly. Run the ANOVA Test and
If your test indicates that there is a significant difference among the means, then do Tukey’s HSD test.( The data does show a differemce among means) Then give the confidence intervals for the differences of the means using a family confidence level of 95%.

I need help solving the problem below.

In your own words and in terms of the problem, describe which relaxation methods result in means that are significantly different from each other and, for the relaxation methods that differ, tell which one seems to be more effective than the other.

Deep Breathing	Visualization	Leisurely Walk
12	15	9
2	1	2
3	2	2
3	2	5
8	0	-6
6	3	1
4	3	2
5	2	9
5	4	8
2	3	7
7	12	19
5	8	24
15	18	0
13	3	5
11	2	12
11	16	21
17	13	2
15	14	-1
16	4	2
10	6	2
13	5	8
4	3	-4
18	9	-5
1	0	-3
2	3	-5
4	2	-11
13	6	8
15	6	-2
28	4	6
18	4	14
6	11	6
15	2	-4
9	4	-5
7	12
5	16
18	4
18	-2
-8	2
-6
-1

Answer 1

Let denote the mean scores for Deep Breathing, Visualization, Leisurely Walk respectively.

To test:

Vs At least one pair of means differ significantly.

Using SPSS, running a one way ANOVA on the given data:

The output obtained are as follows:

Since the p value obtained for the test 0.012 < 0.05, we do ot have sufficient evidence to support the null hypothesis. Hence, H₀ may be rejected at 5% level of significance.

We may conclude that not all three means are equal.

It can be graphically represented as:

Now, to find out, which pair among the three differs, we may go with Tukey's HSD post hoc test:

We find theat the mean scores for Deep Breathing and Leisurely Walk differ significantly at 5% level.The 95% confidence interval for difference in means of Deep Breathing and Leisurely Walk is given by .

Hence,  in terms of the problem,

Relaxation methods Deep Breathing and Leisurely Walk result in means that are significantly different from each other and Since, , it implies . i.e. Deep Breathing seems to be more effective than Leisurely Walk.