Encyclopedia Entry

Proportional Sampling

Chang-Tai Chao

Proportional sampling is a method of sampling in which the investigator divides a finite population into subpopulations and then applies random sampling techniques to each subpopulation. Proportional sampling is similar to proportional allocation in finite population sampling, but in a different context, it also refers to other survey sampling situations. For a finite population with population size N , the population is divided into H strata (subpopulations) according to certain attributes. The size of the h th stratum is denoted as N h and . Proportional sampling refers to a design with total sample size n such that and Following that, a simple random sample with sample size n h would be selected within each stratum. This is essentially the same as the stratified random sampling design with proportional allocation, and the inference of the population quantity of interest can be established accordingly. n h usually would not n ...

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