The Effect of Changes of Location on Least-Squares Estimators for Samples Stratified on the Dependent Variable
因变量分层抽样中位置变换对最小二乘估计量的影响
The consistent least-squares estimator, proposed by Jewell (1985) for linear regression with data arising from stratified samples, lacks invariance with respect to a change of location of the dependent variable. Simulation suggests that its efficiency is reduced when the origin of the dependent variable is far from its mean. This estimator can be made invariant to a change of location by specifying that the dependent variable is measured from the estimated population mean.…