An experiment was conducted to compare the effects of four types of classroom layout on children's learning outcomes. Score on a pretest is used to form the blocks (low, middle, high). The mean scores on the dependent variable, children's score on a posttest quiz, are listed here for each cell.

$\begin{array}{r}
\underline { \quad\text { Pretest score block }\quad}\
\begin{array}{cccc}
\text { Type of classroom layout }& \text { low } & \text { middle } & \text { high } \
\hline 1 & 65 & 75 & 90 \
2 & 80 & 85 & 95 \
3 & 70 & 80 & 85 \
4 & 75 & 85 & 100 \
\hline
\end{array}\end{array}$
Use these cell means to graph the interaction between type of classroom layout and pretest score block.
a. Is there an interaction between type of classroom layout and pretest score?
b. What kind of recommendation would you make to teachers?

Question

An experiment was conducted to compare the effects of four types of classroom layout on children's learning outcomes. Score on a pretest is used to form the blocks (low, middle, high). The mean scores on the dependent variable, children's score on a posttest quiz, are listed here for each cell.

$\begin{array}{r}
\underline { \quad\text { Pretest score block }\quad}\
\begin{array}{cccc}
\text { Type of classroom layout }& \text { low } & \text { middle } & \text { high } \
\hline 1 & 65 & 75 & 90 \
2 & 80 & 85 & 95 \
3 & 70 & 80 & 85 \
4 & 75 & 85 & 100 \
\hline
\end{array}\end{array}$ 
Use these cell means to graph the interaction between type of classroom layout and pretest score block. 
a. Is there an interaction between type of classroom layout and pretest score?
b. What kind of recommendation would you make to teachers?

Quizplus · Accepted Answer

The Answer is The profile plot of cell means is shown as follows.

a. No, there does not appear to be an interaction between type of classroom layout and pretest score. The three lines (representing three levels on pretest) in the plot are almost parallel, indicating that the effects of classroom layout are similar for students with different achievement levels on the pretest.

b. Results suggest that the effects of classroom layout are generalizable across students with different levels of achievement on the pretest. Therefore, teachers should choose the type of classroom layout in which the students had the highest learning outcome. However, the plots also suggest that the effects of four types of classroom may not differ significantly from each other.

An Experiment Was Conducted to Compare the Effects of Four