Design an A/B test for a search ranking change

Last updated: January 15, 2026

Quick Overview

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

JPMorgan
Statistics & Math
Data Scientist
JPMorgan
January 15, 2026
Data Scientist
Take-home Project
Statistics & Math
Medium

374

5

656 solved


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

Statistics questions at JPMorgan test your ability to reason quantitatively and design rigorous experiments. This Take-home Project 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
Regression analysis
Multiple testing correction (Bonferroni, FDR)
Confidence intervals and significance levels
Bayesian vs frequentist inference
Power analysis and sample size calculation
Causal inference basics
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
  • What alternative statistical method could you use here?
  • What assumptions does this test make, and how would you validate them?
  • How would you explain this result to a non-technical audience?
  • How would you design a follow-up experiment based on these results?
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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. We define:

  • Control Group (A): Users exposed to the current homepage.
  • Treatment Group (B): U...
Solution Approach
  1. Sample Size Calculation: To ensure a valid comparison, we first need to calculate the sample size required for our test. Assuming the current conversion rate (CR_A) is 5%, we want to detect an ...

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