How does CUPED increase the statistical power of an experiment?

Tests your grasp of variance reduction. Explain CUPED as ANCOVA, using pre-experiment data (X) to remove predictable noise from the outcome (Y). Effectiveness depends on correlation (rho), reducing variance by (1-rho^2).
Tests your grasp of variance reduction in A/B testing. A great answer defines CUPED as ANCOVA, using highly correlated pre-experiment data (X) to reduce variance in the outcome metric (Y). It constructs an adjusted metric by removing the predictable noise from Y, achieving a variance reduction of (1-rho^2). A red flag is describing a simple difference-in-difference (Y-X) approach, which can be less effective or even harmful.
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