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Based on this scenario, explain why these findings demonstrate a cross-over interaction. In your explanation, link the specific experimental outcomes to the definition of a cross-over interaction and describe the graphical representation.
Case context: A psychology researcher conducts a 2x2 factorial study to examine the effects of two independent variables: 'Noise Level' (Quiet vs. Loud) and 'Task Type' (Simple vs. Complex) on performance. The results show that a loud noise level improves performance on simple tasks but reduces performance on complex tasks. When graphing these results, the researcher notices that the lines representing the task types cross each other.
Question: Based on this scenario, explain why these findings demonstrate a cross-over interaction. In your explanation, link the specific experimental outcomes to the definition of a cross-over interaction and describe the graphical representation.
Sample answer: These findings demonstrate a cross-over interaction because the first independent variable (Noise Level) has an effect at both levels of the second independent variable (Task Type), but these effects operate in opposite directions: loud noise increases performance on simple tasks but decreases performance on complex tasks. This opposite direction of effects causes the plotted lines for simple and complex tasks to physically intersect and cross over each other on the graph.
Key points:
- The independent variable (Noise Level) has an effect at both levels of the second independent variable (Task Type).
- The effects operate in opposite directions (improving performance for one task type, reducing it for the other).
- The plotted lines representing the task conditions physically intersect and cross over.
Rubric: Grading criteria: 1. Correctly identify that the noise level affects both types of tasks (2 points). 2. Detail that the effects go in opposite directions (loud noise improves simple task performance but reduces complex task performance) (2 points). 3. Describe that this pattern causes the lines to physically intersect and cross over on the graph (2 points).
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Research Methods in Psychology - 4th American Edition @ KPU
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Example of a Cross-over Interaction
Graphing Interactions
How is a cross-over interaction defined in the context of factorial designs?
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