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Solves the validity needed to obtain zero net utility under the BCG model.

Usage

break_even_validity(
  selection_ratio,
  sdy,
  n_selected,
  tenure,
  cost = 0,
  baseline_validity = 0
)

Arguments

selection_ratio

Selection ratio.

sdy

SDy.

n_selected

Number selected.

tenure

Expected tenure.

cost

Cost.

baseline_validity

Baseline validity.

Value

Required focal validity.

References

Boudreau, J. W. (1991). Utility analysis for decisions in human resource management. In M. D. Dunnette & L. M. Hough (Eds.), Handbook of industrial and organizational psychology (Vol. 2, pp. 621-745). Consulting Psychologists Press.

Holling, H. (1998). Utility analysis of personnel selection: An overview and empirical study based on objective performance measures. Methods of Psychological Research Online, 3(1), 5-24.

Examples

# Literature: Boudreau (1991); Holling (1998).
# Use the first call as a minimal example; the longer block illustrates
# how to interpret the function in the substantive setting discussed in the literature.
# Minimal example (Boudreau (1991); Holling (1998)).
break_even_validity(.20, 50000, 100, 3, cost = 75000)
#> [1] 0.003571914

# Substantive example (Boudreau, 1991; Holling, 1998).
# Required incremental validity under different costs.
costs <- c(25000, 75000, 150000)
setNames(
  break_even_validity(.20, 50000, 100, 3, cost = costs, baseline_validity = .15),
  paste0('cost_', costs)
)
#>  cost_25000  cost_75000 cost_150000 
#>   0.1511906   0.1535719   0.1571438