Hartley H O, Sielken R L
Biometrics. 1975 Jun;31(2):411-22.
Frequently it is reasonable for a sample surveyor to view the finite population of interest as an independent sample of size N from an infinite super-population. This super-population viewpoint is contrasted to the classical frequentist theory of finite population sampling and the classical theory of infinite population sampling. A new technique for making inferences about finite population "parameters' is developed and shown to be applicable for any survey design. Two example applications are given: the estimation of strata- and population means in stratified sampling and the use of the so-called regression estimators for the same purpose.
对于抽样调查人员而言，通常将感兴趣的有限总体视为从无限超总体中抽取的大小为N的独立样本是合理的。这种超总体观点与有限总体抽样的经典频率论以及无限总体抽样的经典理论形成对比。一种用于对有限总体“参数”进行推断的新技术被开发出来，并被证明适用于任何调查设计。给出了两个示例应用：分层抽样中层和总体均值的估计，以及出于相同目的使用所谓的回归估计量。
