Interpret no significant difference from an experiment

Last updated: February 18, 2026

Quick Overview

An experiment shows a 3% lift with p=0.08. What conclusions can you draw? What are the caveats?

Goldman Sachs
Statistics & Math
Data Scientist
Goldman Sachs
February 18, 2026
Data Scientist
Take-home Project
Statistics & Math
Medium

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An experiment shows a 3% lift with p=0.08. What conclusions can you draw? What are the caveats?

Goldman Sachs 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
  • 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
Regression analysis
Bayesian vs frequentist inference
Probability distributions
Causal inference basics
Conditional probability and Bayes 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?
  • What alternative statistical method could you use here?
  • How would you design a follow-up experiment based on these results?
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