Question

In an ANOVA test, the total number of cases was 30 and these were grouped equally into three groups. The degree of freedom for between-group (numerator) is __________ and the degree of freedom for within-group (numerator) is _______

a) 2 and 27
b) 27 and 2
c) 3 and 30
d) 30 and 3
e) None of the above

Answer 1

Option a, In an ANOVA test, the degree of freedom for between-group (numerator) is 2 and the degree of freedom for within-group (numerator) is 27.

Step-by-step explanation:

In an ANOVA test, the degree of freedom for between-group (numerator) is 2 and the degree of freedom for within-group (numerator) is 27.

The degree of freedom for between-group (numerator) is k-1, where k is the number of groups. In this case, since there are 3 groups, the degree of freedom for between-group is 3-1 = 2.

The degree of freedom for within-group (numerator) is n-k, where n is the total number of cases and k is the number of groups. In this case, since there are 30 cases and 3 groups, the degree of freedom for within-group is 30-3 = 27.