Data Set 11-5: $$\begin{array} { r r c }
\text { Group A } & \text { Group B } & \text { Group C } \
\hline8 & 13 & 15 \
10 & 15 & 17
\end{array}$$
-The three components of the error variance in Data Set 11-5 are
A) about equal
B) very unequal
C) some are equal and some are unequal
D) not enough information is given.

Question

Data Set 11-5: $$\begin{array} { r r c } 
\text { Group A } & \text { Group B } & \text { Group C } \
\hline8 & 13 & 15 \
10 & 15 & 17
\end{array}$$
-The three components of the error variance in Data Set 11-5 are
A) about equal
B) very unequal
C) some are equal and some are unequal
D) not enough information is given.

Quizplus · Accepted Answer

The error variance is the variance of the residuals, which are the differences between the observed values and the predicted values. In this case, the predicted values are the means of the three groups. The variance of the residuals is equal to the sum of the variances of the three groups, weighted by the number of observations in each group. In this case, the variances of the three groups are all equal, so the error variance is also equal.

Data Set 11-5 Group A Group B Group C 81315101517\begin{array} { r r c } \text { Group A } & \text { Group B } & \text { Group C } \\\hline8 & 13 & 15 \\10 & 15 & 17\end{array} Group A 810​ Group B 1315​ Group C 1517​​

Data Set 11-5 $\begin{array} { r r c } \text { Group A } & \text { Group B } & \text { Group C } \\\hline8 & 13 & 15 \\10 & 15 & 17\end{array}$