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Randomize by user or by session? It changes the math

An engineer proposes randomizing each session (each visit) into treatment or control independently, arguing it yields more units and thus more power than randomizing each user once.

Explain the two problems with per-session randomization, and the rule connecting the randomization unit to the analysis unit.

Your answer

This one is open-ended. Work it through, then check your reasoning against the full solution.

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