Expected standardized predictor score among selected applicants — selected_mean

Computes the mean of a standard normal predictor after top-down selection at a given selection ratio: dnorm(qnorm(1 - selection_ratio)) / selection_ratio.

Usage

selected_mean_z(selection_ratio)

Arguments

selection_ratio: Proportion of applicants selected. Must be in (0, 1).

Value

Numeric vector with expected standardized predictor scores.

References

Naylor, J. C., & Shine, L. C. (1965). A table for determining the increase in mean criterion score obtained by using a selection device. Journal of Industrial Psychology, 3, 33-42.

Examples

# Literature: Naylor and Shine (1965).
selected_mean_z(c(.10, .20, .50))
#> [1] 1.7549833 1.3998096 0.7978846