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Wilfley and colleagues (2008) tested whether the antiobesity drug sibutramine wo

ID: 3289635 • Letter: W

Question

Wilfley and colleagues (2008) tested whether the antiobesity drug sibutramine would be an effective treatment for people with binge eating disorder. They measured the frequency of binge eating every 2 weeks for 24 weeks during treatment. The following table lists a portion of the data similar to results reported by the authors for the frequency of binge eating over the first 8 weeks of the drug treatment.

(a) Complete the F-table. (Round your answers to two decimal places.)


Make a decision to retain or reject the null hypothesis. (Assume experimentwise alpha equal to 0.05.)

Retain the null hypothesis. Reject the null hypothesis.    


(b) Use the Bonferroni procedure to make the post hoc test. In which week do we first see significant differences compared to baseline?

Week 2 is the first week where significant differences from baseline are evident. Week 4 is the first week where significant differences from baseline are evident.     Week 6 is the first week where significant differences from baseline are evident. Week 8 is the first week where significant differences from baseline are evident. None of the weeks are significantly different from the baseline.

Frequency of Binge Eating Baseline Week 2 Week 4 Week 6 Week 8 4 1 0 0 1 6 4 2 0 0 3 0 1 1 0 1 1 0 1 1 2 2 1 1 1 5 1 2 2 2

Explanation / Answer

a. We can use excel to complete the F-table

For between persons, do not reject thenull hypothesis because the p-value is greater than 0.05. Whereas between groups reject thenull hypothesis because the p-value is less than 0.05

b. There are (n-1)(c-1)/2 = 5*4/2=10 comparisons.

Bonferroni correction for p value = 0.05/10 =0.005.

If pairwise p value less than 0.005, then the pair is significant.

Week 4 is the first week where significant differences from baseline are evident.

Source of Variation SS df MS F P-value F crit Between persons 12.26667 5 2.453333 2.010929 0.120795 2.71089 Between groups 30.8 4 7.7 6.311475 0.001874 2.866081 Error 24.4 20 1.22 Total 67.46667 29
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