Consider the following partial ANOVA table: The numerator and denominator degrees of freedom for the F-test (identified by asterisks) are
A) 4 and 15
B) 3 and 16
C) 15 and 4
D) 16 and 3

Question

Consider the following partial ANOVA table:  The numerator and denominator degrees of freedom for the F-test (identified by asterisks) are
A) 4 and 15 
B) 3 and 16 
C) 15 and 4 
D) 16 and 3

Quizplus · Accepted Answer

The numerator degrees of freedom are the difference between the total number of groups (k) and 1, which in this case is 4. The denominator degrees of freedom are the total sample size minus the number of groups, which is 16 - 4 = 12. Therefore, the F-test has 3 and 16 degrees of freedom, which is option B.

Consider the Following Partial ANOVA Table: the Numerator and Denominator