Helper function: squeezed logit
Examples
p <- runif(n = 1000)
summary(p)
#> Min. 1st Qu. Median Mean 3rd Qu. Max.
#> 0.001446 0.255711 0.517020 0.511831 0.759035 0.997649
sqz <- 1 / (10**6)
x <- flogit(p, sqz = sqz)
summary(x)
#> Min. 1st Qu. Median Mean 3rd Qu. Max.
#> -6.53706 -1.06839 0.06811 0.07389 1.14739 6.05032
all(abs(p - fexpit(x, sqz = sqz)) < sqz)
#> [1] TRUE
all(abs(p - fexpit(flogit(p, sqz = sqz), sqz = sqz)) < sqz)
#> [1] TRUE