R: Create a Link for GLM Families

make.link {stats} | R Documentation

## Create a Link for GLM Families

### Description

This function is used with the `family` functions in `glm()`. Given the name of a link, it returns a link function, an inverse link function, the derivative dmu/deta and a function for domain checking.

### Usage

    make.link(link)

### Arguments

`link` | character or numeric; one of `"logit"`, `"probit"`, `"cloglog"`, `"identity"`, `"log"`, `"sqrt"`, `"1/mu^2"`, `"inverse"`, or (deprecated) a non-negative number, say lambda resulting in `power` link mu ^ lambda. Also (deprecated) a string like `"power(0.5)"` to indicate a call to `power`.

### Value

A object of class `"link-glm"`, a list with components

`linkfun` | Link function `function(mu)`
`linkinv` | Inverse link function `function(eta)`
`mu.eta` | Derivative `function(eta)` dmu/deta
`valideta` | `function(eta)`{ `TRUE` if `eta` is in the domain of `linkinv` }.
`name` | a name to be used for the link

.

### See Also

`power`, `glm`, `family`.

### Examples

    utils::str(make.link("logit"))

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