Design an A/B test for a recommendation algorithm

Last updated: March 12, 2026

Quick Overview

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

Databricks
Statistics & Math
Data Scientist
Databricks
March 12, 2026
Data Scientist
Onsite
Statistics & Math
Medium

18

4

1,415 solved


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

Databricks values data-driven decision making. This Onsite 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
Probability distributions
Central Limit Theorem
Power analysis and sample size calculation
Confidence intervals and significance levels
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 handle multiple comparisons?
  • What if the sample size is very small?
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Sample Answer
Problem Formulation

To evaluate the impact of a redesigned homepage on user engagement, we will conduct an A/B test. Let:

  • A be the control group that sees the old homepage.
  • B be the treatment group that sees ...
Solution Approach

To determine the required sample size, we will use the following approach:

  1. Estimate baseline CTR: Assume from previous data that the CTR for the old homepage, pAp_A, is 0.10.
  2. **Decide on...

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