(b) To compare the effectiveness of three types of weight-reducing diets, a homogeneous group of 22...

(b) To compare the effectiveness of three types of weight-reducing diets, a homogeneous group of 22 women was divided into three sub-groups and each sub-group followed one of these diet plans for a period of two months. The weight reductions, in kgs, were noted as given below:

Group I	4.3	3.2	2.7	6.2	5.0	3.9
Group II	5.3	7.4	8.3	5.5	6.7	7.2	8.5
Group III	1.4	2.1	2.7	3.1	1.5	0.7	4.3	3.5	0.3

Use the Kruskal-Wallis test to test the hypothesis that the effectiveness of the three weight reducing diet plans is same at 1% level of significance.

Expert Solution

Alpha	0.01

Tukey's multiple comparisons test	Mean Diff.	99% CI of diff.	Significant?	Summary

Group 1 vs. Group 2	-2.769	-5.135 to -0.4033	Yes	**
Group 1 vs. Group 3	2.039	-0.2022 to 4.280	No	*
Group 2 vs. Group 3	4.808	2.665 to 6.951	Yes	****


Test details	Mean 1	Mean 2	Mean Diff.	SE of diff.	n1	n2	q	DF

Group 1 vs. Group 2	4.217	6.986	-2.769	0.7165	6	7	5.466	19
Group 1 vs. Group 3	4.217	2.178	2.039	0.6788	6	9	4.248	19
Group 2 vs. Group 3	6.986	2.178	4.808	0.6490	7	9	10.48	19

Nightingale answered 2 years ago

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