Observational vs Experimental Studies Math Example 3

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Example 3

easy
A researcher asks 500 adults about their exercise habits and mental health. Is this observational or experimental? What is the strongest conclusion possible from this study?

Solution

  1. 1
    Type: observational โ€” the researcher only surveys; does not assign exercise levels
  2. 2
    Strongest conclusion: association โ€” people who exercise more tend to have better mental health
  3. 3
    Cannot conclude: exercise causes better mental health (reverse causation is possible โ€” better mental health enables exercise; or confounders like wealth explain both)

Answer

Observational study. Can conclude association only, not that exercise causes better mental health.
Surveys and records-based studies are always observational. The researcher has no control over who exercises how much. Even a large, well-designed observational study can only establish correlation, not causation.

About Observational vs Experimental Studies

An observational study records data without imposing treatments, while an experiment deliberately manipulates a variable. Only experiments with random assignment can establish causation; observational studies can only show association.

Learn more about Observational vs Experimental Studies โ†’

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