Case Study

Based on Dr. Vance's requirements, explain how he can utilize the remaining visual adjustment techniques (excluding size changes) to represent the 12 overlapping participants. Explain the visual mechanism of each alternative technique and how it solves his representation problem.

Case context: Dr. Vance is plotting survey data examining the relationship between the number of weekly exercise sessions and self-reported sleep quality ratings (scale of 1-10) for 150 college students. Because both variables utilize discrete integers, he notices a single coordinate on the scatterplot has a high concentration of overlapping data points where 12 participants reported the exact same scores. He wants to modify this coordinate's visual representation so that the reader understands multiple individuals are represented there, but he wants to avoid changing the physical size of the point to prevent readers from incorrectly assuming that size represents a different physical variable (such as age or weight).

Question: Based on Dr. Vance's requirements, explain how he can utilize the remaining visual adjustment techniques (excluding size changes) to represent the 12 overlapping participants. Explain the visual mechanism of each alternative technique and how it solves his representation problem.

Sample answer: Dr. Vance can use three alternative methods that do not modify the physical size of the point: 1) He can offset the points slightly along the xx-axis, which visually separates the 12 points so they are displayed side-by-side rather than perfectly on top of each other. 2) He can print the number of individuals in parentheses, writing '(12)' directly next to the point to explicitly indicate the count of overlapping scores. 3) He can increase the darkness of the point in proportion to the 12 overlapping individuals, which uses shading density rather than size to denote the overlapping data.

Key points:

  • Explain offsetting the points slightly along the xx-axis to separate them visually.
  • Explain printing the number of individuals in parentheses next to the point (specifically '(12)') to provide an exact frequency.
  • Explain increasing the darkness of the point in proportion to the number of overlapping individuals.
  • Describe how these alternative solutions avoid altering the physical size of the point, preventing scale misinterpretation.

Rubric: To receive full credit, the response must correctly explain at least two alternative visual methods (offsetting along the xx-axis, printing the number in parentheses next to the point, or increasing the point's darkness) and clearly explain how these methods convey the overlapping data of the 12 participants without altering the physical size of the point.

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Updated 2026-05-26

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Research Methods in Psychology - 4th American Edition @ KPU

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