glm4: Fitting Generalized Linear Models (using S4)

In MatrixModels: Modelling with Sparse and Dense Matrices

Fitting Generalized Linear Models (using S4)

Description

glm4, very similarly as standard R's glm() is used to fit generalized linear models, specified by giving a symbolic description of the linear predictor and a description of the error distribution.

It is more general, as it fits linear, generalized linear, non-linear and generalized nonlinear models.

Usage

glm4(formula, family, data, weights, subset, na.action,
     start = NULL, etastart, mustart, offset,
     sparse = FALSE, drop.unused.levels = FALSE, doFit = TRUE,
     control = list(...),
     model = TRUE, x = FALSE, y = TRUE, contrasts = NULL, ...)

Arguments

formula	an object of class "formula" (or one that can be coerced to that class): a symbolic description of the model to be fitted. The details of model specification are given under ‘Details’.
family	a description of the error distribution and link function to be used in the model. This can be a character string naming a family function, a family function or the result of a call to a family function. (See family for details of family functions.)
data	an optional data frame, list or environment (or object coercible by as.data.frame to a data frame) containing the variables in the model. If not found in data, the variables are taken from environment(formula), typically the environment from which glm is called.
weights	an optional vector of ‘prior weights’ to be used in the fitting process. Should be NULL or a numeric vector.
subset	an optional vector specifying a subset of observations to be used in the fitting process.
na.action	a function which indicates what should happen when the data contain NAs. The default is set by the na.action setting of options, and is na.fail if that is unset. The ‘factory-fresh’ default is na.omit. Another possible value is NULL, no action. Value na.exclude can be useful.
start, etastart, mustart	starting values for the parameters in the linear predictor, the predictor itself and for the vector of means.
offset	this can be used to specify an a priori known component to be included in the linear predictor during fitting. This should be NULL or a numeric vector of length equal to the number of cases. One or more offset terms can be included in the formula instead or as well, and if more than one is specified their sum is used. See model.offset.
sparse	logical indicating if the model matrix should be sparse or not.
drop.unused.levels	used only when sparse is TRUE: Should factors have unused levels dropped? (This used to be true, implicitly in the first versions up to July 2010; the default has been changed for compatibility with R's standard (dense) model.matrix().
doFit	logical indicating if the model should be fitted (or just returned unfitted).
control	a list with options on fitting; currently passed unchanged to (hidden) function IRLS().
model, x, y	currently ignored; here for back compatibility with glm.
contrasts	passed to model.Matrix(.., contrasts.arg = contrasts), see its documentation.
...	potentially arguments passed on to fitter functions; not used currently.

Value

an object of class glpModel.

See Also

glm() the standard R function;
lm.fit.sparse() a sparse least squares fitter.

The resulting class glpModel documentation.

Examples

### All the following is very experimental -- and probably will change: -------

data(CO2, package="datasets")
## dense linear model
str(glm4(uptake ~ 0 + Type*Treatment, data=CO2, doFit = FALSE), 4)
## sparse linear model
str(glm4(uptake ~ 0 + Type*Treatment, data=CO2, doFit = FALSE,
                  sparse = TRUE), 4)

## From example(glm): -----------------

## Dobson (1990) Page 93: Randomized Controlled Trial :
str(trial <- data.frame(counts=c(18,17,15,20,10,20,25,13,12),
                        outcome=gl(3,1,9,labels=LETTERS[1:3]),
                        treatment=gl(3,3,labels=letters[1:3])))
glm.D93 <- glm(counts ~ outcome + treatment, family=poisson, data=trial)
summary(glm.D93)
c.glm <- unname(coef(glm.D93))
glmM  <- glm4(counts ~ outcome + treatment, family = poisson, data=trial)
glmM2 <- update(glmM, quick = FALSE) # slightly more accurate
glmM3 <- update(glmM, quick = FALSE, finalUpdate = TRUE)
                 # finalUpdate has no effect on 'coef'
stopifnot( identical(glmM2@pred@coef, glmM3@pred@coef),
           all.equal(glmM @pred@coef, c.glm, tolerance=1e-7),
           all.equal(glmM2@pred@coef, c.glm, tolerance=1e-12))


## Watch the iterations --- and use no intercept --> more sparse X
## 1) dense generalized linear model
glmM <- glm4(counts ~ 0+outcome + treatment, poisson, trial,
                      verbose = TRUE)
## 2) sparse generalized linear model
glmS <- glm4(counts ~ 0+outcome + treatment, poisson, trial,
                      verbose = TRUE, sparse = TRUE)
str(glmS, max.lev = 4)
stopifnot( all.equal(glmM@pred@coef, glmS@pred@coef),
           all.equal(glmM@pred@Vtr,  glmS@pred@Vtr) )


## A Gamma example, from McCullagh & Nelder (1989, pp. 300-2)
clotting <- data.frame(u = c(5,10,15,20,30,40,60,80,100),
                       lot1 = c(118,58,42,35,27,25,21,19,18),
                       lot2 = c(69,35,26,21,18,16,13,12,12))
str(gMN <- glm4(lot1 ~ log(u), data=clotting, family=Gamma, verbose=TRUE))
glm. <- glm(lot1 ~ log(u), data=clotting, family=Gamma)
stopifnot( all.equal(gMN@pred@coef, unname(coef(glm.)), tolerance=1e-7) )

MatrixModels documentation built on Nov. 6, 2023, 5:09 p.m.