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What is the winner's curse in A/B testing?

hard

Answer

  • Because we only 'ship' experiments that cross the significance / effect threshold, the observed effect on the winners is a biased over-estimate of the true effect (selection on the outcome).
  • Empirical rule at Microsoft / Bing: shipped effects shrink 10-40% on re-measurement.
  • Fixes: (1) empirical Bayes shrinkage of shipped estimates; (2) look at long-run replicable effects; (3) hold-out samples to re-estimate on unbiased data.
  • Foundation of realistic ROI accounting.
Check yourself — multiple choice
  • Random
  • Selection on significance/effect biases shipped-effect estimate up (10-40% shrinkage on re-measurement); fix via Empirical Bayes shrinkage / holdout re-measurement
  • Same as p-hacking
  • Not real

Winner's curse: shipped-effect estimates biased up; shrink via EB / holdout.

#ab-testing

Practise Statistics Fundamentals

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