3. My Notes -17 points NOTE: this question has nothing to do with the previous d

Question

3. My Notes -17 points NOTE: this question has nothing to do with the previous data analysis. It is just meant to emphasize the relationships between the statistics you see in an ANOVA table. 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 59 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 answers). Sum of Squares Mean Square Source of Variation Treatment Error 2.87 Total 206.72

Explanation / Answer

There are total n = 59 female subjects.

There are k = 4 treatments.

Treatment df = k - 1 = 4 - 1 = 3

Error df = n - k = 59 - 4 = 55

Total df = n - 1 = 59 - 1 = 58

SSE = MSE * error df

SSTreat = SST - SSE

F = MSTreat / MSE

Source of Variation df Sum of squares Mean square F Treatment 3 48.87 16.29 5.68 Error 55.00 157.85 2.87 Total 58.00 206.72

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