The following is an incomplete ANOVA table. For the within groups category, the degrees of freedom are ________.
A) 6
B) 7
C) 8
D) 9

Question

The following is an incomplete ANOVA table.  For the within groups category, the degrees of freedom are ________.
A) 6 
B) 7 
C) 8 
D) 9

Quizplus · Accepted Answer

To determine the degrees of freedom for the within groups category, we need to subtract the total number of subjects from the total number of conditions. Without additional information, we cannot determine the total number of subjects or conditions, so we cannot calculate the exact degrees of freedom. However, we can narrow down our options based on the answer choices. Since the total degrees of freedom in an ANOVA is calculated as (number of conditions - 1) + (number of subjects - 1), we know that the degrees of freedom for the within groups category must be either 6 or 7 (since there are no negative numbers in the answer choices). However, if we choose 6, the total degrees of freedom would be 15, which is an odd number and therefore would not be possible in a properly constructed ANOVA design. Therefore, the best choice is C) 8, which would give a total degrees of freedom of 17 (8 within groups + 1 between groups).

The Following Is an Incomplete ANOVA Table