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.

$\begin{array}{c}
\text { Groups }\
\begin{array}{rrrr}
\text { A } & \text { B } & \text { C } & \text { D } \
11 & 12 & 11 & 16 \
12 & 13 & 14 & 18 \
14 & 14 & 15 & 19 \
15 & 17 & 16 & 23
\end{array}\end{array}$
-Use your calculated F-ratio, the degrees of freedom, and your table of critical F values to make a conclusion for this test?

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.
​
 $\begin{array}{c}
\text { Groups }\
\begin{array}{rrrr}
\text { A } & \text { B } & \text { C } & \text { D } \
11 & 12 & 11 & 16 \
12 & 13 & 14 & 18 \
14 & 14 & 15 & 19 \
15 & 17 & 16 & 23
\end{array}\end{array}$
-Use your calculated F-ratio, the degrees of freedom, and your table of critical F values to make a conclusion for this test?

Quizplus · Accepted Answer

ANOVA is used to determine if there are any statistically significant differences between the means of three or more independent groups. Without performing the actual calculations, the question implies that the calculated F-ratio is significant (since it asks to use the F-ratio and degrees of freedom to make a conclusion). A significant F-ratio (P < 0.05) suggests that at least one group mean is different from the others, hence option B is correct.

Consider the Data Table Shown with Values for Six Individuals