In the two-factor ANOVA where a is the number of factor A levels,b is the number of factor B levels,r is the number of replicates,and n is the total number of observations,the number of degrees of freedom for error is:
A)(a − 1)(b − 1)
B)abr − 1
C)r(a − 1)(b − 1)
D)n − ab

Question

Quizplus · Accepted Answer

The degrees of freedom for error in a two-factor ANOVA can be calculated as the total number of observations (n) minus the product of the number of levels in factor A and factor B (ab), which accounts for the degrees of freedom used up by the treatments. This leaves the remaining variation not explained by the treatments, which is attributed to error.

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