conclusions Report on the effect size using eta-squared. Construct a confidence
ID: 3493656 • Letter: C
Question
conclusions Report on the effect size using eta-squared. Construct a confidence interval for the true mean difference. 2. A study was done looking at the number of pounds participants lost after six months of a weight loss program. Program A was diet only, Program B was diet and exercise, and Program C was exercise only. The dependent variable was the number of pounds lost. Analyze the data below using a oneway ANOVA. Display your results in an ANOVA table. Perform a Tukey post hoc size using eta-squared. What do you conclude about the effectiveness of the three weight loss programs? test for all pairwise comparisons. Indicate the effect Program A Program B Program C 13 10 23 14 12 21 15 4 15 18Explanation / Answer
The obtained results are as follows-
ANOVA Summary Table
ANOVA
Sum of Squares
df
Mean Square
F
Sig.
Between Groups
270.000
2
135.000
8.351
.005
Within Groups
194.000
12
16.167
Total
464.000
14
Results of the Tukey test are-
Weight loss
Tukey HSD
(I) Program
(J) Program
Mean Difference (I-J)
Std. Error
Sig.
95% Confidence Interval
Lower Bound
Upper Bound
A
B
.00000
2.54296
1.000
-6.7843
6.7843
C
9.00000*
2.54296
.011
2.2157
15.7843
B
A
.00000
2.54296
1.000
-6.7843
6.7843
C
9.00000*
2.54296
.011
2.2157
15.7843
C
A
-9.00000*
2.54296
.011
-15.7843
-2.2157
B
-9.00000*
2.54296
.011
-15.7843
-2.2157
*. The mean difference is significant at the 0.05 level.
Tukey HSD
Program
N
Subset for alpha = 0.05
1
2
C
5
6.0000
A
5
15.0000
B
5
15.0000
Sig.
1.000
1.000
Means for groups in homogeneous subsets are displayed.
The results indicate that there exists a significant difference in the three weight loss programs. Program A and B are said to be the most effective as the maximum weight loss has occurred in the individuals who were in these two programs. Individuals in Program C have lost the minimum weight.
ANOVA
Sum of Squares
df
Mean Square
F
Sig.
Between Groups
270.000
2
135.000
8.351
.005
Within Groups
194.000
12
16.167
Total
464.000
14
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