Exhibit 10-12
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.
-Refer to Exhibit 10-12. The sum of squares within treatments (SSE) is
A)1,000
B)600
C)200
D)1,600

Question

Exhibit 10-12
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. 
-Refer to Exhibit 10-12. The sum of squares within treatments (SSE) is
A)1,000 
B)600 
C)200 
D)1,600

Quizplus · Accepted Answer

The SSE can be calculated as the sum of squared deviations from the treatment means. With 13 observations per treatment, the degrees of freedom for SSE is (5-1)(13-1) = 48. Using the formula, SSE = (n-1)*s^2, where s^2 is the sample variance, we can plug in the given information to get SSE = 48*10 = 480.

Exhibit 10-12 In a Completely Randomized Experimental Design Involving Five Treatments, 13