Explain propensity score matching with an example

Last updated: March 2, 2026

Quick Overview

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

Adobe
Statistics & Math
Data Scientist
Adobe
March 2, 2026
Data Scientist
Technical Screen
Statistics & Math
Medium

349

5

2,600 solved


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

This statistics question from Adobe's Technical 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
  • 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
Multiple testing correction (Bonferroni, FDR)
Conditional probability and Bayes theorem
Probability distributions
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
  • How would you design a follow-up experiment based on these results?
  • What if the sample size is very small?
  • What assumptions does this test make, and how would you validate them?
  • How would you handle multiple comparisons?
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Sample Answer
Problem Formulation

Propensity Score Matching (PSM) is a statistical technique used to reduce bias in the estimation of treatment effects in observational studies. In this context, let DD be a binary treatment indic...

Solution Approach
  1. Estimate the Propensity Score: Use a logistic regression model where the dependent variable is the treatment indicator DD and the independent variables are the covariates XX.
  2. **M...

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