The numerator and denominator degrees of freedom for the F-test in a one-way ANOVA are,respectively,
A)(n − k)and (k − 1)
B)(k − 1)and (n − k)
C)(k − n)and (n − 1)
D)(n − 1)and (k − n)

Question

Quizplus · Accepted Answer

In a one-way ANOVA, we have k groups and n total observations. 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). Therefore, the correct choice is (k-1) and (n-k), which is option B.

The Numerator and Denominator Degrees of Freedom for the F-Test