In the randomized block design for ANOVA where k is the number of treatments and b is the number of blocks, the degrees of freedom for error are given by which of the following expressions?
A) bk - 1
B) kb + 1
C) (b - 1)(k - 1)
D) k + b - 1

Question

Quizplus · Accepted Answer

The degrees of freedom for error in a randomized block design are equal to the total number of observations (bk) minus the total number of parameters estimated (treatments and blocks), which is (k + b). Therefore, the degrees of freedom for error are (bk - k - b) = (b - 1)(k - 1).

In the Randomized Block Design for ANOVA Where K Is