Data Collectionhard
0:00.0

Consider a two-phase sampling design. We estimate the mean of YY using a regression estimator yˉlr=yˉ+b(Xˉxˉ)\bar{y}_{lr} = \bar{y} + b(\bar{X}' - \bar{x}). What is the main condition under which this estimator is more efficient than a simple mean estimator yˉ\bar{y}?