This is documentation for Mathematica 7, which was
based on an earlier version of the Wolfram Language.
 Built-in Mathematica Symbol

# LinkFunction

 LinkFunction is an option for GeneralizedLinearModelFit which specifies the link function for the generalized linear model.
• The link function is an invertible function g in the generalized linear model .
 Automatic automatically determined "name" named link function g invertible function
• The canonical link functions are as follows:
 "LogitLink" used for "Binomial" "ReciprocalLink" used for "Gamma" "IdentityLink" used for "Gaussian" "InverseSquareLink" used for "InverseGaussian" "LogLink" used for "Poisson"
• For "QuasiLikelihood" models, "IdentityLink" 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 "OddsPowerLink", "NegativeBinomialLink" and "PowerLink", the additional parameter can be given by LinkFunction->{linkname, "LinkParameter"->}. The parameter can be any real value for "OddsPowerLink" and "PowerLink" and any positive value for "NegativeBinomialLink".
• With setting LinkFunction->g, g can be any pure function that is real-valued and invertible on the response domain for the model.
Fit a Poisson model with canonical Log link:
Use a named link:
Use a pure function for a shifted Sqrt link:
Fit a Poisson model with canonical Log link:
 Out[2]=
Use a named link:
 Out[3]=
Use a pure function for a shifted Sqrt link:
 Out[4]=
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