Question

What is optimum allocation in stratified random sampling?

Answer 1

The allocation procedure is called "optimal" because in a particular survey sampling design (stratifiedsimple random sampling) it produces the smallest variance for estimating a population mean and total (using the standard stratified estimator) given a fixed budget or sample size.

Answer 2

Answer:

Optimum allocation in stratified random sampling leads to a constrained optimization problem which is usually solved by any of the following three approaches: by Lagrange multipliers, by converting the problem into an unconstrained optimization problem or, if the cost is a linear function of the stratum sample.