MatrixModels (version 0.2-1)

glm4: 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

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

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

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

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 (dens

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

currently ignored

...

potentially arguments passed on to fitter functions; not used currently.

Value

• an object of class glpModel.

See Also

glm() the standard Rfunction; 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, tol=1e-7),
           all.equal(glmM2@pred@coef, c.glm, tol=1e-12))
All.eq <- function(x,y, ...) all.equal(x,y, tol= 1e-12, ...)
stopifnot( ## ensure typos are *caught* :
  inherits(try(glm4(counts ~ outcome + treatment, family=poisson, data=trial,
                       fooBar = FALSE)), "try-error"),
  ## check formula(.): {environments differ - FIXME?}
  formula(glmM) == formula(glm.D93),
  identical(coef(glmM2), coefficients(glmM3)),
  All.eq   (coef(glmM2), coefficients(glm.D93)),
  identical(fitted.values(glmM2), fitted(glmM3)),
  All.eq   (residuals(glmM2), resid(glm.D93), check.attr=FALSE),# names()  identical(residuals(glmM2), resid(glmM3))
)

## 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.)), tol=1e-7) )