Consider the data table shown with values for six individuals measured in each of four groups (A, B, C, and D). We will conduct an ANOVA analysis of this.

$\begin{array}{c}
\text { Groups }\
\begin{array}{rrrr}
\text { A } & \text { B } & \text { C } & \text { D } \
11 & 12 & 11 & 16 \
12 & 13 & 14 & 18 \
14 & 14 & 15 & 19 \
15 & 17 & 16 & 23
\end{array}\end{array}$
-What are the means of the groups and overall mean?

Question

Consider the data table shown with values for six individuals measured in each of four groups (A, B, C, and D). We will conduct an ANOVA analysis of this.
​
 $\begin{array}{c}
\text { Groups }\
\begin{array}{rrrr}
\text { A } & \text { B } & \text { C } & \text { D } \
11 & 12 & 11 & 16 \
12 & 13 & 14 & 18 \
14 & 14 & 15 & 19 \
15 & 17 & 16 & 23
\end{array}\end{array}$
-What are the means of the groups and overall mean?

Quizplus · Accepted Answer

The means of the groups A, B, C, and D are calculated by summing the values in each group and dividing by the number of observations in each group. For group A, the mean is (11+12+14+15)/4 = 13. For group B, the mean is (12+13+14+17)/4 = 14. For group C, the mean is (11+14+15+16)/4 = 14. For group D, the mean is (16+18+19+23)/4 = 19. The overall mean is calculated by summing all the values and dividing by the total number of observations, which is (11+12+14+15+12+13+14+17+11+14+15+16+16+18+19+23)/16 = 240/16 = 15.

Consider the Data Table Shown with Values for Six Individuals