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Random selection and random assignment

Selection concerns who enters a study; assignment concerns what happens to participating units.

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Identify the population question

Random selection from a defined frame can support a design-based estimate about that frame’s population. It does not by itself assign a treatment or establish which difference was caused by an intervention.

Identify the intervention question

Random assignment allocates a treatment among participating units under a specified experiment. A study can randomly assign volunteers even though the volunteers were not randomly selected from the wider population. External population coverage and treatment assignment are separate design questions.

Read the two design dimensions

Synthetic study descriptions
StudySelectionAssignment
Random firm survey with no interventionRandom frame selectionNone
Volunteers randomly allocated a training exerciseVolunteer entryRandom assignment
Randomly selected staff then randomized trainingRandom selectionRandom assignment

Report the design that supports the conclusion

An observed association in sampled data does not become causal solely because selection was random. Conversely, a randomized experiment does not automatically represent every nonparticipating population. State the units, assignment mechanism and population limits before making either claim.

Further references