estr_alocacao_neyman: Neyman (optimum) allocation of a stratified sample

In sampleone: Survey Sampling Methods for Teaching and Practice

Neyman (optimum) allocation of a stratified sample

Description

Allocates a total sample size across strata to minimise variance for a fixed total sample size, assuming equal per-unit cost across strata (Eqs. 4.18-4.20 of the course notes). Works for both mean (sigmak known) and proportion (pk known, substituting sigmak = sqrt(pk*(1-pk))) problems.

Usage

estr_alocacao_neyman(n, Nk, sigmak = NULL, pk = NULL, ...)

Arguments

n	Total sample size to allocate.
Nk	Numeric vector with the population size of each stratum.
sigmak	Numeric vector with the population standard deviation of each stratum (for a mean problem). Ignored if pk is supplied.
pk	Numeric vector with the population proportion of each stratum (for a proportion problem); if supplied, sigmak is derived as sqrt(pk*(1-pk)) and any sigmak argument is ignored.
...	Ignored (see package overview on tolerated extra arguments).

Value

A sampling_result object with the per-stratum sample sizes under Neyman allocation.

References

Cochran, W.G. (1977). Sampling Techniques, 3rd ed. Wiley, cap. 5.

Examples

estr_alocacao_neyman(n = 261, Nk = c(1540, 770, 385), sigmak = c(2.6, 3, 3.3))

sampleone documentation built on Oct. 13, 2026, 5:07 p.m.