binom.diagnostics: Diagnostics for Binary GLM

In MLDS: Maximum Likelihood Difference Scaling

Diagnostics for Binary GLM

Description

Two techniques for evaluating the adequacy of the binary glm model used in mlds, based on code in Wood (2006).

Usage

binom.diagnostics(obj, nsim = 200, type = "deviance", no.warn = TRUE)

## S3 method for class 'mlds.diag'
plot(x, alpha = 0.025, breaks = "Sturges", ...)

Arguments

obj	list of class ‘mlds’ typically generated by a call to the mlds
nsim	integer giving the number of sets of data to simulate
type	character indicating type of residuals. Default is deviance residuals. See residuals.glm for other choices
no.warn	logical indicating when TRUE (default) to suppress warnings from glm
x	list of class ‘mlds.diag’ typically generated by a call to binom.diagnostics
alpha	numeric between 0 and 1, the envelope limits for the cdf of the deviance residuals
breaks	character or numeric indicating either the method for calculating the number of breaks or the suggested number of breaks to employ. See hist for more details.
...	additional parameters specifications for the empirical cdf plot

Details

Wood (2006) describes two diagnostics of the adequacy of a binary glm model based on analyses of residuals (see, p. 115, Exercise 2 and his solution on pp 346-347). The first one compares the empirical cdf of the deviance residuals to a bootstrapped confidence envelope of the curve. The second examines the number of runs in the sorted residuals with those expected on the basis of independence in the residuals, again using a resampling based on the models fitted values. The plot method generates two graphs, the first being the empirical cdf and the envelope. The second is a histogram of the number of runs from the bootstrap procedure with the observed number indicated by a vertical line. Currently, this only works if the ‘glm’ method is used to perform the fit and not the ‘optim’ method

Value

binom.diagnostics returns a list of class ‘mlds.diag’ with components

NumRuns	integer vector giving the number of runs obtained for each simulation
resid	numeric matrix giving the sorted deviance residuals in each column from each simulation
Obs.resid	numeric vector of the sorted observed deviance residuals
ObsRuns	integer giving the observed number of runs in the sorted deviance residuals
p	numeric giving the proportion of runs in the simulation less than the observed value.

Author(s)

Ken Knoblauch

References

Wood, SN Generalized Additive Models: An Introduction with R, Chapman & Hall/CRC, 2006

Knoblauch, K. and Maloney, L. T. (2008) MLDS: Maximum likelihood difference scaling in R. Journal of Statistical Software, 25:2, 1–26, \Sexpr[results=rd]{tools:::Rd_expr_doi("10.18637/jss.v025.i02")}.

See Also

mlds

Examples

## Not run: 
data(kk1)
kk1.mlds <- mlds(kk1)
kk1.diag <- binom.diagnostics(kk1.mlds)
plot(kk1.diag)

## End(Not run)

MLDS documentation built on Aug. 20, 2023, 9:06 a.m.