Design an A/B test for a recommendation algorithm

Last updated: July 24, 2025

Quick Overview

Design an experiment to test the impact of a redesigned homepage. Include sample size calculation, metrics, and analysis plan.

Figma
Statistics & Math
Data Scientist
Figma
July 24, 2025
Data Scientist
Technical Screen
Statistics & Math
Medium

167

6

3,800 solved


Design an experiment to test the impact of a redesigned homepage. Include sample size calculation, metrics, and analysis plan.

Statistics questions at Figma test your ability to reason quantitatively and design rigorous experiments. This Technical Screen question evaluates your understanding of statistical inference and its application to business decisions.

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
Central Limit Theorem
Probability distributions
Hypothesis testing (H0, H1, p-values)
Bayesian vs frequentist inference
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 explain this result to a non-technical audience?
  • What assumptions does this test make, and how would you validate them?
  • What if the sample size is very small?
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Sample Answer
Problem Formulation

To design an A/B test for assessing the impact of a redesigned homepage on user engagement, we need to define our null and alternative hypotheses.

  • Null Hypothesis (H0): The redesigned homepage...
Solution Approach
  1. Determine Expected Effect Size: Suppose historical data shows that the current homepage has a CTR of 5% (0.05). We would like to detect a 20% increase, leading to an expected CTR of 6% (0.06). ...

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