Exhibit 13-4
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 13-4. The mean square within treatments (MSE) is
A)50
B)10
C)200
D)600

Question

Quizplus · Accepted Answer

To find the mean square within treatments (MSE), we first need to calculate the sum square within treatments (SSW):

SSW = SST - SSTR
SSW = 800 - 200
SSW = 600

Then, we can find MSE by dividing SSW by the degrees of freedom within treatments (dfw):

dfw = N - k
dfw = 65 - 5
dfw = 60

MSE = SSW/dfw
MSE = 600/60
MSE = 10

Therefore, the best choice is B, with an explanation that MSE is calculated by dividing the sum square within treatments (SSW) by the degrees of freedom within treatments (dfw), which results in an MSE value of 10.

Exhibit 13-4 In a Completely Randomized Experimental Design Involving Five Treatments, 13