In a completely randomized experimental design involving five treatments, 13 observations were recorded for each of the five treatments (a total of 65 observations). Also, the design provided the following information.
SSTR = 300 (Sum of Squares Due to Treatments)
SST = 800 (Total Sum of Squares)

The mean square due to error (MSE) is
A) 75.
B) 8.3.
C) 200.
D) 500.

Question

In a completely randomized experimental design involving five treatments, 13 observations were recorded for each of the five treatments (a total of 65 observations). Also, the design provided the following information. ​
SSTR = 300 (Sum of Squares Due to Treatments)
SST = 800 (Total Sum of Squares)
​
The mean square due to error (MSE) is
A) 75.
B) 8.3.
C) 200.
D) 500.

Quizplus · Accepted Answer

MST = SSTR/k-1=300/4=75
MSE=SSE/n-k=800/60=40/3=13.3
Therefore, B is the only possible choice.

In a Completely Randomized Experimental Design Involving Five Treatments, 13