In a one-way analysis of variance for a completely randomized design with three treatments groups,each with five measurements,what are the degrees of freedom associated with the error sum of squares?
A)6
B)8
C)2
D)12
E)15

Question

Quizplus · Accepted Answer

The degrees of freedom associated with the error sum of squares is calculated as follows:
Degrees of Freedom (Error) = Total Degrees of Freedom - Degrees of Freedom (Treatments)
Total Degrees of Freedom = (Number of Observations) - 1 = 15 - 1 = 14
Degrees of Freedom (Treatments) = (Number of Treatment Groups) - 1 = 3 - 1 = 2
Therefore, Degrees of Freedom (Error) = 14 - 2 = 12. So, the best choice is D.

In a One-Way Analysis of Variance for a Completely Randomized