Multiple Choice
A university surveys how study group size (solo, duo, group) and study environment (quiet, noisy) affect test performance. Which of the following conclusions most clearly suggests an interaction effect between the two factors?
14. ANOVA
Two-Way ANOVA
Multiple Choice
Which of the following interaction plots best indicates no interaction between the two factors?
A
B
C
D
Verified step by step guidance1
Step 1: Understand the concept of interaction in the context of two factors. Interaction occurs when the effect of one factor depends on the level of the other factor. In an interaction plot, this is typically shown by lines that are not parallel.
Step 2: Examine each interaction plot to determine the relationship between the two factors. Look specifically at the lines representing the levels of factor B across the levels of factor A.
Step 3: Identify the plot where the lines are parallel or nearly parallel. Parallel lines indicate that the effect of one factor is consistent across the levels of the other factor, meaning no interaction is present.
Step 4: In the first plot, the lines cross, indicating interaction. In the second plot, the lines are not parallel and diverge, indicating interaction. In the third plot, the lines are parallel and show similar trends, indicating no interaction. In the fourth plot, the lines converge, indicating interaction.
Step 5: Conclude that the third plot best indicates no interaction between the two factors because the lines are parallel, showing that the effect of one factor does not depend on the level of the other factor.
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