# Goodness of Link Test in GLM

### Description

Computes the score test statistic for the goodness of link test in generalized linear models.

### Usage

1 |

### Arguments

`x` |
a matrix or data frame containing the explanatory variables. |

`y` |
the response: a vector of length the number of rows of |

`family` |
a description of the error distribution and link function to be used in the model. See |

`weights` |
an optional vector of weights to be used in the fitting process. |

`beta` |
a vector of coefficients estimates |

`phi` |
the dispersion parameter |

`offset` |
optional, a priori known component to be included in the linear predictor during fitting. |

### Details

See pag. 200–201 of Atkinson and Riani (2000).

### Value

Return the value of the score test statistic.

### Author(s)

Originally written for S-Plus by:
Kjell Konis kkonis@insightful.com and Marco Riani mriani@unipr.it

Ported to R by Luca Scrucca luca@stat.unipg.it

### References

Atkinson, A.C. and Riani, M. (2000), *Robust Diagnostic Regression Analysis*, First Edition. New York: Springer, Chapter 6.

### See Also

`fwdglm`

, `fwdlm`

, `score.s`

.