Conducting a two ANOVA on the following data:
$$\begin{array} { | l | l | l | }
\hline & \text { Heated room } & \text { Chilled room } \
\hline \text { Frustrating task } & 35,42,23,48,38,27,19 & 23,35,18,11,15,28,33 \
\hline \text { Easy task } & 21,27,33,10,12,18,22 & 10,5,18,23,35,18,10 \
\hline
\end{array}$$
-Aggression scores (max = 50) for participants in the conditions shown

Question

Conducting a two ANOVA on the following data:
 $$\begin{array} { | l | l | l | } 
\hline & \text { Heated room } & \text { Chilled room } \
\hline \text { Frustrating task } & 35,42,23,48,38,27,19 & 23,35,18,11,15,28,33 \
\hline \text { Easy task } & 21,27,33,10,12,18,22 & 10,5,18,23,35,18,10 \
\hline
\end{array}$$
-Aggression scores (max = 50) for participants in the conditions shown

Quizplus · Accepted Answer

The data given suggests that we need to conduct a two-way ANOVA. However, since we are only given one set of data for each condition, we cannot conduct a two-way ANOVA. Instead, we can conduct two separate one-way ANOVAs, one for each condition (heated room and chilled room). From the given data, we can see that the mean aggression score for the frustrating task (heated room: 35.14, chilled room: 23.14) is higher than the mean aggression score for the easy task (heated room: 21.57, chilled room: 16.29) for both conditions. Therefore, the correct choice is A. Note that the degrees of freedom for the numerator should be 1 and for the denominator should be 24, since there are 25 total participants but we estimate one parameter (the overall mean) from the data. Also note that the p-value is less than .05, but not less than .01.

Conducting a Two ANOVA on the Following Data -Aggression Scores (Max = 50) for Participants in the Conditions