A study of 15 different weight loss programs involved 300 subjects. Each of the

Question

A study of 15 different weight loss programs involved 300 subjects. Each of the 15 programs had 20 subjects in it. The subjects were followed for 12 months. Weight change for each subject was recorded. We want to test the claim that the mean weight loss is the same for the 15 program:s (a) Complete the following ANOVA table with sum of squares, degrees of freedom, and mean square (Show all work): Sum of Squares (Ss) Degrees of Freedom (dj Mean Square (MS) Source of Variation Factor (Between) Error (Within) Total 42.5 N/A 553.05 299

Explanation / Answer

a)

b) test stat F=MSR/MSE =3.04/1.79 = 1.6946

c) for above test stat and (14,285) degree of freedom in numerator and denominator ; p value =-0.0561

d) as p value is less then 0.10; we have sufficient evidence to reject the claim that the mean weight loss is same for the 15 programmes.

source SS df MS factor 42.5 15-1=14 42.5/14=3.04 Error 553.05-42.5=510.55 299-14=285 510.55/285=1.79 total 553.05 299

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