Distinguish sample surveys, experiments, and observational studies; explain randomization in each.
Separate random sampling and assignment in an inference matrix
Problem
Voters are randomly sampled from a roster, their opinions are recorded, and no treatment is assigned. State the supported population scope, causal limit, and study type.
Big Picture
What this problem is really about
Trace two separate stages of the design. Random sampling answers who enters and supports uncertain generalization to the frame-covered population; random assignment answers which imposed condition an enrolled unit receives and supports causal treatment comparison. One form of randomness cannot substitute for the other, so study type and inference limits depend on which stages actually occurred.
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