Explain regression discontinuity with an example

Last updated: August 6, 2025

Quick Overview

Explain regression discontinuity in simple terms and provide a concrete example.

DE Shaw
Statistics & Math
Data Scientist
DE Shaw
August 6, 2025
Data Scientist
Phone Screen
Statistics & Math
Hard

2

5

1,770 solved


Explain regression discontinuity in simple terms and provide a concrete example.

Statistics questions at DE Shaw test your ability to reason quantitatively and design rigorous experiments. This Phone Screen question evaluates your understanding of statistical inference and its application to business decisions.

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
Probability distributions
Hypothesis testing (H0, H1, p-values)
Conditional probability and Bayes theorem
Power analysis and sample size calculation
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 if the sample size is very small?
  • How would you design a follow-up experiment based on these results?
  • How would you handle multiple comparisons?
  • What assumptions does this test make, and how would you validate them?
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