-Refer to ANOVA table one. In a completely randomized design for ANOVA, the numerator and denominator degrees of freedom for the test statistic are 4 and 25, respectively. What must the total number of observations equal?
A) 24
B) 25
C) 29
D) 30

Question

-Refer to ANOVA table one. In a completely randomized design for ANOVA, the numerator and denominator degrees of freedom for the test statistic are 4 and 25, respectively. What must the total number of observations equal?
A) 24 
B) 25 
C) 29 
D) 30

Quizplus · Accepted Answer

In ANOVA, the numerator degrees of freedom is equal to the number of groups minus one (k-1), and the denominator degrees of freedom is equal to the total number of observations minus the number of groups (N-k). Given the numerator degrees of freedom is 4, there are 5 groups (4+1). The denominator degrees of freedom is 25, so N-5=25, which means N=30.

-Refer to ANOVA Table One