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Diagnose the flaw in the survey's response options based on the concept of mutually exclusive categories. Explain how this flaw impacts a respondent who studies exactly 4 hours.
Case context: A psychology student is designing a survey to assess the categorical variable of 'daily hours spent studying.' The student provides the following response options: '0-2 hours', '2-4 hours', '4-6 hours', and '6 or more hours'.
Question: Diagnose the flaw in the survey's response options based on the concept of mutually exclusive categories. Explain how this flaw impacts a respondent who studies exactly 4 hours.
Sample answer: The response options are flawed because they are not mutually exclusive; the categories overlap at the numbers 2, 4, and 6. Consequently, a respondent who studies exactly 4 hours cannot unambiguously choose just one category, as their answer falls into both the '2-4 hours' and '4-6 hours' options.
Key points:
- Diagnoses the response options as overlapping or not mutually exclusive.
- Identifies that the categorical variable options share endpoints (2, 4, and 6).
- Explains that a respondent studying exactly 4 hours would fall into multiple categories rather than unambiguously into one.
Rubric: Full credit requires the student to correctly diagnose that the options overlap (are not mutually exclusive) and to explicitly explain that a respondent studying exactly 4 hours would ambiguously fit into multiple categories, violating the rule of unambiguous categorization.
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Research Methods in Psychology - 4th American Edition @ KPU
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