The following data represent the means for each treatment condition in a two-factor experiment. What pattern of results is shown in the data? $\begin{array}{c}
\begin{array}{lll}
\text { B1 } \
\
\text { B2 }
\end{array}
\begin{array}{ | l | l| }
\hline \
\mathrm { M } = 20 & \mathrm { M } = 20 \
\
\mathrm { M } = 30 & \mathrm { M } = 50 \
\hline
\end{array}
\end{array}$

A) Main effects for both factors and an interaction
B) Main effects for both factors and no interaction
C) A main effect for factor A, no main effect for factor B, and no interaction
D) A main effect for factor A and an interaction but no main effect for factor B

Question

The following data represent the means for each treatment condition in a two-factor experiment. What pattern of results is shown in the data? $\begin{array}{c}
\begin{array}{lll}
\text { B1 } \
\
\text { B2 } 
\end{array}
\begin{array}{  | l | l| } 
\hline \
 \mathrm { M } = 20 & \mathrm { M } = 20 \
\
 \mathrm { M } = 30 & \mathrm { M } = 50 \
\hline
\end{array}
\end{array}$

A) Main effects for both factors and an interaction
B) Main effects for both factors and no interaction
C) A main effect for factor A, no main effect for factor B, and no interaction
D) A main effect for factor A and an interaction but no main effect for factor B

Quizplus · Accepted Answer

The data show a difference in means across levels of both factors (A and B), indicating main effects for both. Additionally, the difference between levels of factor B changes depending on the level of factor A (from 0 difference between B1 and B2 at A1 to a 20 point difference at A2), indicating an interaction between factors A and B.

The Following Data Represent the Means for Each Treatment Condition