多阶段抽样回归估计及其样本量的选择

Regression estimation method and optimum allocation of its sample sizes in mult-stage sampling

讨论多阶段抽样回归估计及其样本量选择问题 .给出了回归估计抽样均方误差的公式及其渐近无偏估计的公式 ,并在调查费用给定下 ,给出了在各阶段的样本量为等比例情况下 。

We give the approximation formulas of the variance of the sample regression estimator for a population mean and its saymptotically non-biased estimator in mult-stage sampling. We give the formulas of optimum allocation of the sample sizes of the sample regression estimator in mult-stage sampling with the proportional allocation of sample sizes in the second to (n)-th sampling under the cost function c=∑ni=1c i·m i.