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 number of degrees of freedom corresponding to between-treatments is
A) 60.
B) 59.
C) 5.
D) 4.

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 number of degrees of freedom corresponding to between-treatments is
A) 60.
B) 59.
C) 5.
D) 4.

Quizplus · Accepted Answer

The number of degrees of freedom for between-treatments in an experimental design is calculated as the number of treatments minus one. Since there are five treatments, the degrees of freedom for between-treatments is 5 - 1 = 4.

In a Completely Randomized Experimental Design Involving Five Treatments, 13