aods3 (version 0.4-1.1)

link: Transformation from the Observation Scale to the Link Scale

Description

The function transforms a variable from the observation scale (probability or count) to the link scale.

Usage

link(x, type = c("cloglog", "log", "logit", "probit"))

Value

clog-log: \(log(-log(1 - x ))\)

log: \(log(x)\)

logit: \(log(x / (1 - x))\)

probit: \(qnorm(x)\)

Arguments

x

A vector of real numbers.

type

A character string: “cloglog”, “log”, “logit” or “probit”.

See Also

invlink

Examples

x <- seq(.001, .999, length = 100)
plot(x, link(x, type = "logit"), type = "l", lwd = 2, ylab = "link(proba.)")
lines(x, link(x, type = "cloglog"), lty = 2, lwd = 2)
grid(col = "black")
legend(0, 6, legend = c("logit(x)", "cloglog(x)"), lty = c(1, 2), bg = "white")