Case Study

Explain why the student's decision to omit inferential statistics from their formal research report is incorrect, and describe what the descriptive statistics indicate about the relationship between screen time and life satisfaction.

Case context: A student researcher is investigating the relationship between daily screen time and self-reported life satisfaction. After plotting the data on a scatterplot, they observe an indistinct 'cloud' of points and compute a Pearson's rr of .02-.02. Based solely on these descriptive statistics, the student decides to write a summary stating that the variables are unrelated and intends to omit any inferential statistics from their final paper because they believe such tests are unnecessary when no effect is present.

Question: Explain why the student's decision to omit inferential statistics from their formal research report is incorrect, and describe what the descriptive statistics indicate about the relationship between screen time and life satisfaction.

Sample answer: The student's decision is incorrect because a formal research report always requires the reporting of inferential statistics, even when the descriptive statistics show no relationship. Descriptively, the indistinct scatterplot cloud and Pearson's rr of .02-.02 indicate that screen time and life satisfaction are essentially unrelated.

Key points:

  • Descriptive statistics (scatterplot cloud and Pearson's rr of .02-.02) show the variables are essentially unrelated.
  • Inferential statistics are a required part of any formal research report.
  • A formal report cannot omit inferential statistics based only on descriptive patterns.

Rubric: To receive full credit, the response must explain: 1) The descriptive statistics show that screen time and life satisfaction are essentially unrelated. 2) Inferential statistics are still a required component of a formal research report even if descriptive statistics suggest no effect. 3) Omitting inferential statistics violates formal reporting standards.

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Updated 2026-05-27

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Research Methods in Psychology - 4th American Edition @ KPU

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