Data Collectionhard
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In a two-phase sampling design, suppose we have a primary sample of size nn' and a subsample of size nn. The regression estimator for the population mean Yˉ\bar{Y} is yˉlr=yˉ+b(Xˉxˉ)\bar{y}_{lr} = \bar{y} + b(\bar{X}' - \bar{x}). What is the approximate variance of this estimator, assuming nn and nn' are large?