Ononot — A study aims to estimate the total population Y. Using an au

Guest Session: 1 Question Remaining. Create Account to save progress.

Data Collectionmedium

0:00.0

A study aims to estimate the total population $Y$ . Using an auxiliary variable $X$ known for the entire population, the ratio estimator is $\hat{Y}_R = \frac{\bar{y}}{\bar{x}} X$ . When is the ratio estimator more efficient than the simple expansion estimator $\hat{Y} = N\bar{y}$ ?