An experiment report checks 20 metrics across 10 segments and highlights the 3 that are significant at p < 0.05. How do you judge it?
What the interviewer wants to hear
- Explain multiple comparisons and expected false positives
- Primary metric should be decided before the test
- Use corrections such as Bonferroni or false discovery rate control
- Treat segment findings as hypotheses to confirm in a new test
- Look at effect sizes and whether results make sense
Model answer
With 200 metric and segment combinations, at a 5% threshold you would expect about 10 to look significant by pure chance, so 3 significant results is actually not evidence of anything. This is the multiple comparisons problem. The correct approach is to fix one primary metric and a few guardrails before the test and judge the decision mainly on those. For secondary metrics, apply a correction such as Bonferroni, which is strict, or Benjamini-Hochberg to control the false discovery rate. Segment results that were not planned should be treated as ideas, not conclusions, and confirmed in a new test designed for that segment. I also look at whether the effect size is meaningful and whether there is a believable reason for it. I would explain this to the team kindly, because highlighting lucky results can lead to bad product decisions.
Can you answer it under time pressure?
Take a timed hard round and get scored on every answer.
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