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.

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

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

Source of Variation	SS	df	MS	Fobt
Between groups
Between persons
Within groups (error)
Total

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.

Answer 1

Anova: Two-Factor Without Replication
SUMMARY	Count	Sum	Average	Variance
4	4	2	0.5	0.333333
6	4	6	1.5	3.666667
3	4	2	0.5	0.333333
1	4	3	0.75	0.25
2	4	5	1.25	0.25
5	4	7	1.75	0.25
Week 2	6	9	1.5	1.9
Week 4	6	6	1	0.8
Week 6	6	5	0.833333	0.566667
Week 8	6	5	0.833333	0.566667
ANOVA
Source of Variation	SS	df	MS	F	P-value	F crit
Rows	5.708333	5	1.14	1.27	0.33	2.90
Columns	1.791667	3	0.60	0.67	0.59	3.29
Error	13.45833	15	0.90
Total	20.95833	23

F stat for week = 0.67

p value 0.59

p avlue >0.05 , do not reject Ho

...................

.None of the weeks are significantly different from the baseline.

.................

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