Design an A/B test for a search ranking change

Last updated: March 31, 2026

Quick Overview

Design an experiment to test the impact of new pricing tiers. Include sample size calculation, metrics, and analysis plan.

Confluent
Statistics & Math
Data Scientist
Confluent
March 31, 2026
Data Scientist
Take-home Project
Statistics & Math
Hard

124

5

3,788 solved


Design an experiment to test the impact of new pricing tiers. Include sample size calculation, metrics, and analysis plan.

Confluent values data-driven decision making. This Take-home Project 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
  • Derive results from first principles when needed
  • Handle complex scenarios with multiple interacting variables
  • Design experiments that account for real-world complications
  • Discuss advanced topics: Bayesian methods, causal inference, resampling
  • Connect statistical concepts to business decision-making
  • Identify subtle errors in reasoning (Simpson's paradox, survivorship bias)
Key Topics to Cover
Conditional probability and Bayes theorem
Hypothesis testing (H0, H1, p-values)
Bayesian vs frequentist inference
Causal inference basics
Multiple testing correction (Bonferroni, FDR)
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 if the sample size is very small?
  • How would you design a follow-up experiment based on these results?
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Sample Answer
Problem Formulation

To test the impact of new pricing tiers on user engagement, we will conduct an A/B test where:

  • Group A (Control): Users experience the existing pricing model.
  • Group B (Treatment): Users ex...
Solution Approach
  1. Identify Key Metrics: Choose metrics to evaluate the impact of pricing changes, such as conversion rate (CR) and ARPU.

  2. Sample Size Calculation: Use the formula for sample size in A/B te...


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