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Proportional Allocation to Strata

Proportional allocation is a procedure for dividing a sample among the strata in a stratified sample survey. A sample survey collects data from a population in order to estimate population characteristics. A stratified sample selects separate samples from subgroups of the population, which are called “strata” and can often increase the accuracy of survey results. In order to implement stratified sampling, it is necessary to be able to divide the population at least implicitly into strata before sampling. Given a budget that allows gathering data on n subjects or a budget amount SB, there is a need to decide how to allocate the resources for data gathering to the strata. Three factors typically affect the distribution of resources to the strata: (1) the population size, ...

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