An experiment is done as a 3 × 5 ANOVA and the experiment is replicated twice. What are the degrees of freedom of the F statistic associated with the interaction effect?
A)8 and 15
B)15 and 30
C)6 and 30
D)None of the above

Question

Quizplus · Accepted Answer

The interaction effect has 2 degrees of freedom for the rows (3-1) and 4 degrees of freedom for the columns (5-1). Since the experiment is replicated twice, the degrees of freedom for the interaction effect is 2 x 4 = 8. The degrees of freedom for the error term is 15, which is the product of the degrees of freedom for the rows (2) and the degrees of freedom for the columns (4) multiplied by the number of replications (2).

An Experiment Is Done as a 3 × 5 ANOVA