This question evaluates a data scientist's competency in experimental design, causal inference, metric definition and prioritization, bias identification, incremental impact estimation, and business ROI assessment for promotional offers.
You are evaluating a free one-month promotion for a subscription product. Eligible users can either see the normal paid signup flow or receive the first month free. The business wants to know whether the promotion should be rolled out more broadly.
Assume you have user-level data with: experiment assignment or targeting flags, signup date, activation events, acquisition channel, geo, device, historical engagement, subscription start/end dates, payments, refunds, and a limited follow-up window. Some users may have been targeted non-randomly, and long-term lifetime value is only partially observed.
Discuss how you would: