Generalized logit and inverse logit function
Compute generalized logit and generalized inverse logit functions.
logit(x, min = 0, max = 1) inv.logit(x, min = 0, max = 1)
x |
value(s) to be transformed |
min |
Lower end of logit interval |
max |
Upper end of logit interval |
The generalized logit function takes values on [min, max] and transforms them to span [-Inf,Inf] it is defined as:
y = log(p/(1-p))
where
p=(x-min)/(max-min)
The generalized inverse logit function provides the inverse transformation:
x = p * (max-min) + min
where
exp(y)/(1+exp(y))
Transformed value(s).
Gregory R. Warnes greg@warnes.net
x <- seq(0, 10, by=0.25) xt <- logit(x, min=0, max=10) cbind(x,xt) y <- inv.logit(xt, min=0, max=10) cbind(x, xt, y)
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