summary.effect {effects}R Documentation

Summarizing, Printing, and Plotting Effects

Description

summary, print, and plot methods for effect and effect.list objects.

Usage

## S3 method for class 'effect':
print(x, type=c("response", "link"), ...)
## S3 method for class 'effect.list':
print(x, ...)
## S3 method for class 'summary.effect':
print(x, ...)
## S3 method for class 'effect':
summary(object, type=c("response", "link"), ...)
## S3 method for class 'effect.list':
summary(object, ...)
## S3 method for class 'effect':
plot(x, x.var=which.max(levels),
    z.var=which.min(levels), multiline=is.null(x$se), rug=TRUE, xlab,
    ylab=x$response, main=paste(effect, "effect plot"),
    colors=palette(), symbols=1:10, lines=1:10, cex=1.5, ylim,
    factor.names=TRUE, type=c("response", "link"), ticks=list(at=NULL, n=5), 
    alternating=TRUE, rescale.axis=TRUE, 
    row=1, col=1, nrow=1, ncol=1, more=FALSE, ...)
## S3 method for class 'effect.list':
plot(x, selection, ask=TRUE, ...)

Arguments

x an object of type "effect", "summary.effect", or "effect.list", as appropriate.
object an object of type "effect" or "effect.list", as appropriate.
type if "response" (the default), effects are printed or the vertical axis is labelled on the scale of the response variable; if "link", effects are printed or the vertical axis labelled on the scale of the linear predictor.
x.var the index (number) or quoted name of the covariate or factor to place on the horizontal axis of each panel of the effect plot. The default is the predictor with the largest number of levels or values.
z.var the index (number) or quoted name of the covariate or factor for which individual lines are to be drawn in each panel of the effect plot. The default is the predictor with the smallest number of levels or values. This argument is only used if multiline = TRUE.
multiline if TRUE, each panel of the display represents combinations of values of two predictors, with one predictor (corresponding to x.var) on the horzontal axis, and the other (corresponding to z.var) used to define lines in the graph; defaults to TRUE if there are no standard errors in the object being plotted, and FALSE otherwise.
rug if TRUE, the default, a rug plot is shown giving the marginal distribution of the predictor on the horizontal axis, if this predictor is a covariate.
xlab the label for the horizontal axis of the effect plot; if missing, the function will use the name of the predictor on the horizontal axis.
ylab the label for the vertical axis of the effect plot; the default is the response variable for the model from which the effect was computed.
main the title for the plot, printed at the top; the default title is constructed from the name of the effect.
colors colors[1] is used to plot effects, colors[2] to plot confidence bands. In a mulitline plot, the successive colors correspond to the levels of the z.var covariate or factor.
symbols, lines corresponding to the levels of the z.var covariate or factor on a multiline plot. These arguments are used only if multiline = TRUE; in this case a legend is drawn at the top of the display.
cex character expansion for plotted symbols; default is 1.
ylim 2-element vector containing the lower and upper limits of the vertical axes; if NULL, the default, then the vertical axes are scaled from the data.
factor.names a logical value, default TRUE, that controls the inclusion of factor names in conditioning-variable labels.
ticks a two-item list controlling the placement of tick marks on the vertical axis, with elements at and n. If at=NULL (the default), the program attempts to find `nice' locations for the ticks, and the value of n (default, 5) gives the approximate number of tick marks desired; if at is non-NULL, then the value of n is ignored.
alternating if TRUE (the default), the tick labels alternate by panels in multi-panel displays from left to right and top to bottom; if FALSE, tick labels appear at the bottom and on the left.
rescale.axis if TRUE (the default), the tick marks on the vertical axis are labelled on the response scale (e.g., the probability scale for effects computed on the logit scale for a binomial GLM).
row, col, nrow, ncol, more These arguments are used to graph an effect as part of an array of plots; row, col, nrow, and ncol are used to compose the split argument and more the more argument to print.trellis. Normally these arguments are not set by the user, but by print.effect.list.
selection the optional index (number) or quoted name of the effect in an effect list to be plotted; if not supplied, a menu of high-order terms is presented or all effects are plotted.
ask if selection is not supplied and ask is TRUE (the default), a menu of high-order terms is presented; if ask is FALSE, effects for all high-order terms are plotted in an array.
... arguments to be passed down.

Details

In a generalized linear model, by default, the print and summary methods for effect objects print the computed effects on the scale of the response variable using the inverse of the link function. In a logit model, for example, this means that the effects are expressed on the probability scale.

By default, effects in a GLM are plotted on the scale of the linear predictor, but the vertical axis is labelled on the response scale. This preserves the linear structure of the model while permitting interpretation on what is usually a more familiar scale. This approach may also be used with linear models, for example to display effects on the scale of the response even if the data are analyzed on a transformed scale, such as log or square-root.

Value

The summary method for "effect" objects returns a "summary.effect" object with the following components (those pertaining to confidence limits need not be present):

header a character string to label the effect.
effect an array containing the estimated effect.
lower.header a character string to label the lower confidence limits.
lower an array containing the lower confidence limits.
upper.header a character string to label the upper confidence limits.
upper an array containing the upper confidence limits.

Author(s)

John Fox jfox@mcmaster.ca.

See Also

effect, all.effects, xyplot

Examples

data(Cowles)
mod.cowles <- glm(volunteer ~ sex + neuroticism*extraversion, 
    data=Cowles, family=binomial)
eff.cowles <- all.effects(mod.cowles, xlevels=list(neuroticism=0:24, 
    extraversion=seq(0, 24, 6)))
eff.cowles
    ## Not run: 
    model: volunteer ~ sex + neuroticism * extraversion
    
    sex effect
    sex
    female      male 
    0.4409441 0.3811941 
    
    neuroticism*extraversion effect
            extraversion
    neuroticism          0         6        12        18        24
            0  0.07801066 0.1871263 0.3851143 0.6301824 0.8225756
            1  0.08636001 0.1963396 0.3870453 0.6200668 0.8083638
            2  0.09551039 0.2058918 0.3889798 0.6098458 0.7932997
            3  0.10551835 0.2157839 0.3909179 0.5995275 0.7773775
           . . .
            23 0.51953129 0.4747277 0.4303273 0.3870199 0.3454282
            24 0.54709527 0.4895731 0.4323256 0.3768303 0.3243880
    
## End(Not run)
plot(eff.cowles, 'sex', ylab="Prob(Volunteer)")
    ## Not run: 
    Loading required package: lattice 
    
## End(Not run)

plot(eff.cowles, 'neuroticism:extraversion', ylab="Prob(Volunteer)",
    ticks=list(at=c(.1,.25,.5,.75,.9)))

plot(eff.cowles, 'neuroticism:extraversion', multiline=TRUE, 
    ylab="Prob(Volunteer)")
    
plot(effect('sex:neuroticism:extraversion', mod.cowles,
    xlevels=list(neuroticism=0:24, extraversion=seq(0, 24, 6))), multiline=TRUE)
## Not run: 
    Warning message: 
    sex:neuroticism:extraversion does not appear in the model in: 
      effect("sex:neuroticism:extraversion", mod.cowles, 
      xlevels = list(neuroticism = 0:24,
## End(Not run)

data(Prestige)
mod.pres <- lm(prestige ~ log(income, 10) + poly(education, 3) + poly(women, 2), 
    data=Prestige)
eff.pres <- all.effects(mod.pres, default.levels=50)
plot(eff.pres, ask=FALSE)


[Package effects version 1.0-8 Index]