LinkFunction—Wolfram Mathematica 9 Documentation

Details Details

The link function is an invertible function in the generalized linear model .
Possible settings for LinkFunction include:
Automatic automatically determined

"name" named link function

g invertible function
The default value Automatic uses the canonical link for the ExponentialFamily associated with the model.
The canonical link functions are as follows:

For models, is used by default.
Other common link functions for binomial data include:
"ProbitLink"

"CauchitLink"

"LogLogLink"

"LogComplementLink"

"ComplementaryLogLogLink"

"OddsPowerLink"
Other common link functions for count data include:
"NegativeBinomialLink"
Other common link functions for positive real-valued data include:
"PowerLink"
For , , and , the additional parameter can be given by LinkFunction->{linkname, "LinkParameter"->}. The parameter can be any real value for and and any positive value for .
With setting LinkFunction->g, g can be any pure function that is real-valued and invertible on the response domain for the model.