An article in the Journal of the American Medical Assocation described an experi

Question

An article in the Journal of the American Medical Assocation described an experiment to investigate the effect of four treatments on various body characteristics. In this double-blind experiment, each of 58 female subjects age 65 or older was assigned at random to one of the following four treatments:

1) P + P: placebo "growth hormone" and placebo "steroid"
2) P + S: placebo "growth hormone" and the steroid estradiol
3) G + P: growth hormone and placebo "steroid"
4) G + S: growth hormone and the steroid estradiol

The change in body fat mass was measured over the 26-week period following the treatments. Using the information provided above and in the partial table below, complete the ANOVA table (use 2 decimals for your SS, MS, and F value answers).

Source of Variation df Sum of Squares Mean Square F Treatment Error 2.37 X Total 201.41 X X

Explanation / Answer

Here Total df = n - 1 = 58 - 1 = 57

df(T) = k - 1 = 4 -1 = 3

df(E) = n - k = 58 - 4 = 54

MS = SS/df

F = MST/MSE

Source of Variation df SS MS F Treatment 3 73.43 24.4767 10.3277 Error 54 127.98 2.37 Total 57 201.41

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