CapacityScaling {stratallo}

Integer-valued Optimal Univariate Allocation Under Constraints for Stratified Sampling

Description

Better algorithm from paper Friedrich et al. (2015) for integer-valued optimal allocation in stratified sampling.

Usage

CapacityScaling(n, Ah, mh = rep(1, length(Ah)), Mh = rep(Inf, length(Ah)))

CapacityScaling2(
  v0,
  Nh,
  Sh,
  mh = rep(1, length(Nh)),
  Mh = rep(Inf, length(Nh))
)

Arguments

n

• target sample size for allocation.

Ah

• population strata sizes * standard deviations of a given variable in strata.

mh

• lower constraints for sample sizes in strata.

Mh

• upper constraints for sample sizes in strata.

v0

• upper limit for value of variance which must be attained for computed optimal allocation.

Nh

• population strata sizes.

Sh

• standard deviations of a given variable in strata.

Value

A vector of optimal allocation sizes.

Functions

• CapacityScaling2():

References

Friedrich, U., Münnich, R., de Vries, S. and Wagner, M. (2015) Fast integer-valued algorithms for optimal allocations under constraints in stratified sampling, Computational Statistics and Data Analysis, 92, pp. 1–12. https://www.sciencedirect.com/science/article/pii/S0167947315001413