Interpret no significant difference from an experiment

Last updated: September 8, 2025

Quick Overview

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

Two Sigma
Statistics & Math
Data Scientist
Two Sigma
September 8, 2025
Data Scientist
Technical Screen
Statistics & Math
Hard

36

15

3,580 solved


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

Two Sigma values data-driven decision making. This Technical Screen 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
  • 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
Causal inference basics
Confidence intervals and significance levels
Multiple testing correction (Bonferroni, FDR)
Hypothesis testing (H0, H1, p-values)
Conditional probability and Bayes theorem
Probability distributions
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 alternative statistical method could you use here?
  • How would you handle multiple comparisons?
  • How would you explain this result to a non-technical audience?
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