In a two-way ANOVA the degrees of freedom for the "error" term is
A) (r - 1)(c - 1).
B) (r - 1).
C) rcn' + 1.
D) rc(n' - 1).

Question

Quizplus · Accepted Answer

The degrees of freedom for the error term in a two-way ANOVA is equal to rc(n' − 1), where r is the number of levels for factor A, c is the number of levels for factor B, and n' is the number of observations per cell. This is because the error term represents the variation that cannot be attributed to the main effects or interaction effect, and it is calculated as the total variation minus the variation accounted for by the factors. The total number of observations is equal to rcn', and there are r + c − 1 degrees of freedom for the main effects and (r − 1)(c − 1) degrees of freedom for the interaction effect. Thus, the degrees of freedom for the error term can be calculated as (rcn') − (r + c − 1) − (r − 1)(c − 1) = rc(n' − 1).

In a Two-Way ANOVA the Degrees of Freedom for the "Error