Accuracy vs. Precision Flashcards
Accuracy vs Precision
- Are NOT interchangeable
Accuracy
How close an estimate is to truth (or the true parameter).
Precision
How repeatable an estimate is. How close our individual estimates are to each other if we make multiple estimates.
Target metaphor
Accuracy - how close to the target center you are getting
Precision - how close to each other my individual shots are
Accurate AND precise: almost all in the bullseye
Accurate but NOT precise: all shots within the circle, but spread out
Inaccurate and Imprecise: missing the target and spread out
Inaccurate but precise: missing the target, but all shots very close together
How does this relate to statistical procedures?
Most statistical procedures are designed to be both accurate & precise.
- Most estimators are unbiased
- There’s a trade off between accuracy & precision
- – Estimators that are unbiased often have lower precision than biased ones
- Sometimes we choose to use an estimator that has lower accuracy because it has much high precision
- –Particularly when bias is relatively small