estr_alocacao_custo: Cost-based optimum allocation of a stratified sample

In sampleone: Survey Sampling Methods for Teaching and Practice

Cost-based optimum allocation of a stratified sample

Description

Allocates strata sample sizes to minimise variance subject to a fixed total budget, when per-unit sampling costs differ across strata (Eqs. 4.7-4.8 for means, Eq. 4.13 for proportions).

Usage

estr_alocacao_custo(n, Nk, sigmak = NULL, pk = NULL, ck, ...)

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.
ck	Numeric vector with the sampling cost per unit in each stratum.
...	Ignored (see package overview on tolerated extra arguments).

Value

A sampling_result object with the per-stratum sample sizes under cost-based optimum allocation.

References

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

Examples

estr_alocacao_custo(n = 491, Nk = c(4000, 3000, 2000), sigmak = c(3, 3, 2),
                     ck = c(10, 10, 20))

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