A research study was conducted to examine the clinical efficacy of a new antidep

Question

A research study was conducted to examine the clinical efficacy of a new antidepressant. Depressed patients were randomly assigned to one of three groups: a placebo group, a group that received a low dose of the drug, and a group that received a moderate dose of the drug. After four weeks of treatment, the patients completed the Beck Depression Inventory. The higher the score, the more depressed the patient. The data are presented below. a). By computer, we find SST (Sum of Square of Total) is 2184.8, and the SSE (Sum of Square within groups) is 790.8. Based on this, calculate the F-value. At alpha = 0.05, can we conclude there is a significant difference between the

Explanation / Answer

a) here SUm of square between treatments SSTR=SST-SSE =2184.8-790.8=1394

hence MSTR=1394/2=697

and MSE=SSE/(n-k)=790.8/12=65.9

therefore F=(MSTR/MSE)=10.58

b) at 0.05 level and 2,12 degree of freedom ; critical value =3.8853

as test stat F is higher then critical value we reject null hypothesis and conclude that there is significant differnce b/w the groups

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