Interpret mixed results across segments from an experiment
Last updated: December 28, 2025
Quick Overview
An experiment shows a 3% lift with p=0.08. What conclusions can you draw? What are the caveats?
DE Shaw
December 28, 2025571
5
518 solved
An experiment shows a 3% lift with p=0.08. What conclusions can you draw? What are the caveats?
This statistics question from DE Shaw's Onsite 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
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
- How would you handle multiple comparisons?
- What assumptions does this test make, and how would you validate them?
- What if the sample size is very small?
- How would you explain this result to a non-technical audience?
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Problem Formulation
We are given that an experiment shows a 3% lift in a certain metric with a p-value of 0.08. We need to evaluate whether this lift is statistically significant and what it implies about the effectivene...
Solution Approach
- Determine Significance: Compare the p-value to the significance level. Since 0.08 > 0.05, we fail to reject the null hypothesis.
- Confidence Interval: We should also calculate a confiden...
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