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 sum of squares due to error (SSE) is
A) 1100.
B) 500.
C) 300.
D) 1600.

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 sum of squares due to error (SSE) is
A) 1100.
B) 500.
C) 300.
D) 1600.

Quizplus · Accepted Answer

In completely randomized experimental design, SST = SSTR + SSE. 
Hence, SSE = SST - SSTR = 800 - 300 = 500.

In a Completely Randomized Experimental Design Involving Five Treatments, 13