Explain Simpson's paradox with an example
Last updated: December 5, 2025
Quick Overview
Explain Simpson's paradox in simple terms and provide a concrete example.
Twilio
Statistics & Math
Data Scientist
Twilio
December 5, 2025Data Scientist
Take-home Project
Statistics & Math
Easy
21
4
1,011 solved
Explain Simpson's paradox in simple terms and provide a concrete example.
Twilio 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
- State the correct formula or theorem with clear definitions
- Apply the concept to the given scenario step by step
- Interpret the result in plain language
- Identify assumptions and when they might be violated
Key Topics to Cover
Conditional probability and Bayes theorem
Confidence intervals and significance levels
Multiple testing correction (Bonferroni, FDR)
Hypothesis testing (H0, H1, p-values)
Probability distributions
Power analysis and sample size calculation
How to Approach This
- Define your hypotheses (H0 and H1) clearly before performing any test.
- Calculate required sample size BEFORE running an experiment, using power analysis.
- Remember the Central Limit Theorem: sample means become approximately normal with large n.
- Watch for Simpson's paradox. Always segment data by key dimensions.
- Distinguish between statistical significance and practical significance.
Possible Follow-up Questions
- What alternative statistical method could you use here?
- What assumptions does this test make, and how would you validate them?
- How would you explain this result to a non-technical audience?
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