R: Transformation from the Link Scale to the Observation Scale

invlink {aod} | R Documentation

## 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"))

### Arguments

`x` | A vector of real numbers.
`type` | A character string. Legal values are “cloglog”, “log” and “logit”.

### Value

anti-logit(x) = exp(x) / (1 + exp(x))
anti-cloglog(x) = 1 - exp(-exp(x))

### 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")

[Package aod version 1.3 Index]