A "super-population viewpoint' for finite population sampling.
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.
D006801:Humans; D008433:Mathematics; D008962:Models, Theoretical; D011153:Population; D012044:Regression Analysis; D012494:Sampling Studies; D013223:Statistics as Topic