In a completely randomized design for ANOVA, the numerator and denominator degrees of freedom are 4 and 25, respectively. The total number of observations must equal:
A) 24
B) 25
C) 29
D) 30
E) 31

Question

Quizplus · Accepted Answer

The total degrees of freedom for ANOVA is the sum of numerator and denominator degrees of freedom. Thus, total degrees of freedom = 4+25 = 29. Since ANOVA is conducted on a sample, we need to add 1 to the total degrees of freedom to get the total number of observations. Thus, the total number of observations = total degrees of freedom + 1 = 29 + 1 = 30. Therefore, the answer is D) 30.

In a Completely Randomized Design for ANOVA, the Numerator and Denominator