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3.7 Inference and Experiments

Part of Collecting Data in AP® Statistics. Read the opening section, then create a free account for the full interactive lesson, practice, and progress tracking.

When Can We Conclude Causation?

The key question: When can we say one thing CAUSES another?

Rule: We can infer causation ONLY from a well-designed randomized experiment.

Why? Random assignment distributes all variables — both measured and unmeasured — approximately equally across treatment groups. If the groups differ significantly in the response variable after treatment, the treatment caused the difference.

Summary of conclusions:

Study Type Can Conclude Association? Can Conclude Causation?
Observational study Yes No (confounding possible)
Randomized experiment Yes Yes (if properly designed)

Important caveat: Even with a well-designed experiment, we can only generalize to the population represented by the experimental units. If subjects are volunteers, results may not generalize broadly.

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