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Users who adopt feature X churn less. Can you say the feature reduces churn?

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Answer

  • Not from that association alone, because four mechanisms produce it without the feature doing anything: (1) confounding — engaged users both adopt features and stay, so engagement causes both, (2) reverse causation — users who were already going to stay are the ones who explore features, (3) selection — the population you measured was filtered in a way that creates the link, (4) coincidence, which matters when the sample is small.
  • To make the causal claim you need randomization, meaning an experiment that offers the feature to a random subset, or a credible identification strategy: instrumental variables, regression discontinuity, difference-in-differences, or matching under an explicitly stated ignorability assumption.
  • Some version of this question appears in every statistics interview.
Check yourself — multiple choice
  • Always implies
  • Confounding / reverse / selection / coincidence break the implication; need RCT or explicit causal identification (IV / DID / RDD / matching)
  • Only for regression
  • Random

Confounding / reverse / selection break correlation → causation; need RCT or ID strategy.

#causal-inference

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