Exhibit 10-11
In a completely randomized experimental design involving five treatments, 13 observations were recorded for each of the five treatments a total of 65 observations). The following information is provided.
SSTR = 200 Sum Square Between Treatments) SST = 800 Total Sum Square)
-Refer to Exhibit 10-11. The mean square within treatments MSE) is
A) 50
B) 10
C) 200
D) 600

Question

Quizplus · Accepted Answer

The formula for mean square within treatments (MSE) is SSTr / df within treatments. 
Since there are 5 treatments with 13 observations each, there are a total of 65 observations. 
Thus, the degrees of freedom within treatments (df within) is (5-1)(13) = 52. 
Plugging in the given values, we get MSE = 200 / 52 = 3.85 (rounded to two decimal places), which is closest to option B) 10.

Exhibit 10-11 In a Completely Randomized Experimental Design Involving Five Treatments, 13