Explain power analysis with an example

Last updated: January 25, 2026

Quick Overview

Explain power analysis in simple terms and provide a concrete example.

Anduril
Statistics & Math
Data Scientist
Anduril
January 25, 2026
Data Scientist
Phone Screen
Statistics & Math
Medium

105

11

3,377 solved


Explain power analysis in simple terms and provide a concrete example.

Anduril values data-driven decision making. This Phone 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
  • 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
Power analysis and sample size calculation
Bayesian vs frequentist inference
Probability distributions
Conditional probability and Bayes theorem
Central Limit Theorem
Confidence intervals and significance levels
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
  • How would you explain this result to a non-technical audience?
  • What assumptions does this test make, and how would you validate them?
  • What if the sample size is very small?
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