Proportional sampling is a method of sampling in which the investigator divides a finite population [Page 1120]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 hth stratum is denoted as Nh and . Proportional sampling refers to a design with total sample size n such that

and

Following that, a simple random sample with sample size nh would be selected within each stratum. This is essentially the same as the stratified random sampling design with proportional allocation, ...