The method of allocation such that for a fixed size, the sample chosen will have the smallest possible standard error for the estimate of the population mean is called optimum allocation.

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Optimum allocation in sampling ensures that for a given sample size, the allocation of units across strata is done in such a way that the standard error of the estimate of the population mean is minimized. This method typically involves allocating more samples to strata with higher variability and larger size to achieve the most precise estimate possible with the given resources.

The Method of Allocation Such That for a Fixed Size