Explain multiple testing correction with an example

Last updated: March 17, 2026

Quick Overview

Explain multiple testing correction in simple terms and provide a concrete example.

Airbnb
Statistics & Math
Data Scientist
Airbnb
March 17, 2026
Data Scientist
Phone Screen
Statistics & Math
Medium

37

13

1,230 solved


Explain multiple testing correction in simple terms and provide a concrete example.

Airbnb values data-driven decision making. This Phone Screen question assesses whether you can design experiments, interpret results correctly, and avoid common statistical pitfalls like p-hacking or Simpson's paradox.

What the Interviewer Expects
  • Set up the problem formally with proper notation
  • Apply the correct statistical test with clear justification
  • Interpret results with appropriate caveats and confidence levels
  • Discuss practical significance vs statistical significance
  • Identify potential confounders and how to address them
Key Topics to Cover
Multiple testing correction (Bonferroni, FDR)
Power analysis and sample size calculation
Bayesian vs frequentist inference
Hypothesis testing (H0, H1, p-values)
How to Approach This
  1. Define your hypotheses (H0 and H1) clearly before performing any test.
  2. Calculate required sample size BEFORE running an experiment, using power analysis.
  3. Remember the Central Limit Theorem: sample means become approximately normal with large n.
  4. Watch for Simpson's paradox. Always segment data by key dimensions.
  5. Distinguish between statistical significance and practical significance.
Possible Follow-up Questions
  • How would you design a follow-up experiment based on these results?
  • How would you explain this result to a non-technical audience?
  • How would you handle multiple comparisons?
  • What if the sample size is very small?
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Sample Answer
Problem Formulation

In the context of Airbnb, consider a scenario where we want to test the effectiveness of three different pricing strategies on rental bookings. We set up the following hypotheses for each strategy:

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Solution Approach

To correct for multiple testing, we can use the Bonferroni correction method. This method adjusts the significance level by dividing the original alpha level by the number of tests.

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