multivariate_allocation: Cost-aware allocation for several study variables

In fieldopt: Area-Frame and Dual-Frame Survey Design under Real Field Cost

Cost-aware allocation for several study variables

Description

Minimum cost ⁠sum c_h n_h⁠ such that the variance of the estimated total of every study variable is at most its target (Bethel 1989; Chromy 1987). This is frame_allocation() with one constraint per variable: a survey that must estimate several crops, or a crop and the number of farms, with stated precisions. The multipliers tell which constraints bind.

Usage

multivariate_allocation(
  strata,
  sd,
  target_variance = NULL,
  target_cv = NULL,
  totals = NULL
)

Arguments

strata	Data frame with columns size, cost, optionally stratum, and one standard-deviation column per study variable.
sd	Names of the standard-deviation columns, one per variable.
target_variance	Target variance of each variable's total, in the order of sd (give this or target_cv).
target_cv	Target coefficient of variation of each total; needs totals.
totals	Population totals of the variables, for target_cv.

Value

The strata with a column n, of class fieldopt_multi_allocation, with attributes cost, targets, attained (variance of each variable), multipliers, bounded.

References

Bethel, J. (1989). Sample allocation in multivariate surveys. Survey Methodology, 15, 47-57. Chromy, J. R. (1987). Design optimization with multiple objectives. Proceedings of the Survey Research Methods Section, ASA, 194-199.

Examples

strata <- data.frame(
  stratum = c("high", "mid", "low"), size = c(300, 800, 2000),
  cost = c(250, 180, 150), sd_corn = c(40, 25, 8), sd_cattle = c(15, 30, 12)
)
multivariate_allocation(strata,
  sd = c("sd_corn", "sd_cattle"),
  target_cv = c(0.05, 0.08), totals = c(90000, 60000)
)

fieldopt documentation built on Oct. 22, 2026, 1:07 a.m.