Cost-aware allocation across strata

Classical optimum allocation with a cost per unit in each stratum (Cochran 1977, Section 5.5): minimum cost for a target variance of the estimated total, or minimum variance for a budget. For two frames with an overlap use dual_frame_allocation() instead.

Usage

frame_allocation(strata, target_variance = NULL, budget = NULL)

Arguments

strata

Data frame with columns size (population units), sd (standard deviation of the study variable) and cost (cost per unit, interview plus expected access), and optionally stratum with names.

target_variance

Target variance of the estimated total (give this or budget).

budget

Total cost allowed.

Value

The strata with a column n, plus attributes cost, variance and bounded (whether 2 <= n_h <= N_h was active), of class fieldopt_allocation.

Examples

strata <- data.frame(
  stratum = c("list", "area"), size = c(2000, 800),
  sd = c(12, 30), cost = c(40, 180)
)
frame_allocation(strata, target_variance = 4e6)
#> 
#> ── Allocation ──────────────────────────────────────────────────────────────────
#> Minimum cost for target variance 4e+06: cost 45000, variance 3980000.
#> # A tibble: 2 × 5
#>   stratum  size    sd  cost     n
#>   <chr>   <dbl> <dbl> <dbl> <int>
#> 1 list     2000    12    40   360
#> 2 area      800    30   180   170
frame_allocation(strata, budget = 20000)
#> 
#> ── Allocation ──────────────────────────────────────────────────────────────────
#> Minimum variance for budget 20000: cost 19980, variance 10230000.
#> # A tibble: 2 × 5
#>   stratum  size    sd  cost     n
#>   <chr>   <dbl> <dbl> <dbl> <int>
#> 1 list     2000    12    40   162
#> 2 area      800    30   180    75