Admissions implied by a population and a length of stay
Details
Rearranging the identity \(\bar{X}_{hc} = N_a \bar{X}_t / t\) (Lakner 1976, p.18-20) for \(N_a\). Useful when two of the three quantities are published and the third is not.
Examples
# Lakner (p.20) runs this the other way: t = 365, an average daily
# population of 25 and 1,750 admissions imply a stay of 5.2 days.
alos_implied <- 25 * 365 / 1750
round(alos_implied, 1)
#> [1] 5.2
# and back again
admissions(25, alos_implied)
#> [1] 1750