In the two-way ANOVA where a is the number of factor A levels, b in the number of factor B levels, and r in the number of replicates, the number of degrees of freedom for error is:
A) (a1)(b1)
B) abr1
C) (a1)(r1)
D) ab(r1)
E) (a + 1)(r + 1)

Question

Quizplus · Accepted Answer

The number of degrees of freedom for error in a two-way ANOVA is calculated as (a-1)(b-1)(r-1), so the answer is ab(r-1) or abr1 since r-1 = r1 in this case. Therefore, the correct answer is D.

In the Two-Way ANOVA Where a Is the Number of Factor