aods3 (version 0.4-1.2)

invlink: Transformation from the Link Scale to the Observation Scale

Description

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

Usage

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

Value

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

log: \(exp(x)\)

logit: \(exp(x) / (1 + exp(x))\)

probit: \(pnorm(x)\)

Arguments

x

A vector of real numbers.

type

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

See Also

link

Examples

x <- seq(-5, 5, length = 100)
plot(x, invlink(x, type = "logit"), type = "l", lwd = 2, ylab = "Probability")
lines(x, invlink(x, type = "cloglog"), lty = 2, lwd = 2)
grid(col = "black")
legend(-5, 1, legend = c("alogit(x)", "acloglog(x)"), lty = c(1, 2), bg = "white")