Explain propensity score matching with an example

Last updated: June 13, 2026

Quick Overview

Explain propensity score matching in simple terms and provide a concrete example.

Twilio
Statistics & Math
Data Scientist
Twilio
June 13, 2026
Data Scientist
Phone Screen
Statistics & Math
Hard

39

6

816 solved


Explain propensity score matching in simple terms and provide a concrete example.

This statistics question from Twilio's Phone Screen 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
Conditional probability and Bayes theorem
Probability distributions
Power analysis and sample size calculation
Bayesian vs frequentist inference
Central Limit Theorem
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 if the sample size is very small?
  • How would you design a follow-up experiment based on these results?
  • What assumptions does this test make, and how would you validate them?
  • How would you handle multiple comparisons?
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