anova.dglm: Analysis of Deviance for Double Generalized Linear Model Fits

In dglm: Double Generalized Linear Models

Analysis of Deviance for Double Generalized Linear Model Fits

Description

Compute an analysis of deviance table for one or more double generalized linear model fits.

Usage

## S3 method for class 'dglm'
anova(object, ...)

Arguments

object	objects of class dglm, typically the result of a call to dglm.
...	Not used.

Details

Specifying a single object gives sequential and adjusted likelihood ratio tests for the mean and dispersion model components of the fit. The aim is to test overall significance for the mean and dispersion components of the double generalized linear model fit. The sequential tests (i) set both mean and dispersion models constant, add the mean model and (ii) sequentially add the dispersion model. The adjusted tests determine whether the mean and dispersion models can be set constant separately.

Value

An object of class "anova" inheriting from class "data.frame".

Note

The anova method is questionable when applied to an "dglm" object with method="reml" (stick to method="ml").

Author(s)

Gordon Smyth, ported to R by Peter Dunn ([e-mail])

References

Hastie, T. J. and Pregibon, D. (1992) Generalized linear models. Chapter 6 of Statistical Models in S, edited by J. M. Chambers and T. J. Hastie, Wadsworth and Brooks/Cole.

Smyth, G. K. (1989). Generalized linear models with varying dispersion. J. R. Statist. Soc. B, 51, 47–60. \Sexpr[results=rd]{tools:::Rd_expr_doi("10.1111/j.2517-6161.1989.tb01747.x")}

Smyth, G. K., and Verbyla, A. P. (1999). Adjusted likelihood methods for modelling dispersion in generalized linear models. Environmetrics, 10, 696-709. \Sexpr[results=rd]{tools:::Rd_expr_doi("10.1002/(SICI)1099-095X(199911/12)10:6<695::AID-ENV385>3.0.CO;2-M")} https://gksmyth.github.io/pubs/Ties98-Preprint.pdf

Smyth, G. K., and Verbyla, A. P. (1999). Double generalized linear models: approximate REML and diagnostics. In Statistical Modelling: Proceedings of the 14th International Workshop on Statistical Modelling, Graz, Austria, July 19-23, 1999, H. Friedl, A. Berghold, G. Kauermann (eds.), Technical University, Graz, Austria, pages 66-80. https://gksmyth.github.io/pubs/iwsm99-Preprint.pdf

See Also

dglm, anova.

dglm documentation built on Nov. 25, 2023, 9:07 a.m.