Discussion
In an ANOVA for an experimental design involving 3 treatments and 10 observations per treatment, if SSE = 399.6, then the estimated variance of error term is :
Answer: D
The estimated error variance is 14.8.
The error variance is estimated by the mean square error, SSE divided by its degrees of freedom. With k = 3 treatments and 10 observations each, N = 30, and the error degrees of freedom are \(N - k = 27\):
\[ \begin{aligned} \text{MSE} &= \frac{\text{SSE}}{N - k} \\ &= \frac{399.6}{27} = 14.8 \end{aligned} \]
133.2 is SSE divided by 3, the number of treatments, and 66.6 is SSE divided by 6; neither is the error degrees of freedom. 87.8 has no basis in the data given.
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