Interpret mixed results across segments from an experiment

Last updated: December 28, 2025

Quick Overview

An experiment shows conflicting results. What conclusions can you draw? What are the caveats?

PlanetScale
Statistics & Math
Data Scientist
PlanetScale
December 28, 2025
Data Scientist
Take-home Project
Statistics & Math
Hard

269

5

3,636 solved


An experiment shows conflicting results. What conclusions can you draw? What are the caveats?

This statistics question from PlanetScale's Take-home Project tests your ability to apply mathematical reasoning to practical problems. The interviewer expects precise definitions, correct methodology, and awareness of assumptions and limitations.

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
Regression analysis
Power analysis and sample size calculation
Conditional probability and Bayes theorem
Confidence intervals and significance levels
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
  • What assumptions does this test make, and how would you validate them?
  • How would you handle multiple comparisons?
  • How would you design a follow-up experiment based on these results?
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