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 _______ Question 16 options: a) 2 and 27 b) 27 and 2 c) 3 and 30 d) 30 and 3 e) None of the above

Answer 1

In an ANOVA test, the degree of freedom for between-group (numerator) is equal to the number of groups minus 1, and the degree of freedom for within-group (denominator) is equal to the total number of cases minus the number of groups.

In this case, there are three groups, so the degree of freedom for between-group is 3 - 1 = 2. The total number of cases is 30, and since there are three groups, the degree of freedom for within-group is 30 - 3 = 27.

Therefore, the correct answer is:

a) 2 and 27.