Explain power analysis with an example

Last updated: October 25, 2025

Quick Overview

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

Microsoft
Statistics & Math
Data Scientist
Microsoft
October 25, 2025
Data Scientist
Onsite
Statistics & Math
Hard

3

5

828 solved


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

Statistics questions at Microsoft test your ability to reason quantitatively and design rigorous experiments. This Onsite question evaluates your understanding of statistical inference and its application to business decisions.

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
Bayesian vs frequentist inference
Confidence intervals and significance levels
Multiple testing correction (Bonferroni, FDR)
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?
  • How would you handle multiple comparisons?
  • How would you design a follow-up experiment based on these results?
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