Explain instrumental variables with an example
Last updated: February 6, 2026
Quick Overview
Explain instrumental variables in simple terms and provide a concrete example.
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Explain instrumental variables in simple terms and provide a concrete example.
LinkedIn 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
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
- What alternative statistical method could you use here?
- What if the sample size is very small?
- How would you handle multiple comparisons?
- How would you explain this result to a non-technical audience?
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Problem Formulation
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Solution Approach
To solve this problem using instrumental variables, we follow these steps:
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- Verify that is correlated with (relevance condition).
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