library(effects) ## load the effects package
data(Cowles, package = "carData")
Model with interaction
mod.cowles <- glm(volunteer ~ sex + neuroticism*extraversion,
data=Cowles, family=binomial)
summary(mod.cowles)
##
## Call:
## glm(formula = volunteer ~ sex + neuroticism * extraversion, family = binomial,
## data = Cowles)
##
## Deviance Residuals:
## Min 1Q Median 3Q Max
## -1.4749 -1.0602 -0.8934 1.2609 1.9978
##
## Coefficients:
## Estimate Std. Error z value Pr(>|z|)
## (Intercept) -2.358207 0.501320 -4.704 2.55e-06 ***
## sexmale -0.247152 0.111631 -2.214 0.02683 *
## neuroticism 0.110777 0.037648 2.942 0.00326 **
## extraversion 0.166816 0.037719 4.423 9.75e-06 ***
## neuroticism:extraversion -0.008552 0.002934 -2.915 0.00355 **
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## (Dispersion parameter for binomial family taken to be 1)
##
## Null deviance: 1933.5 on 1420 degrees of freedom
## Residual deviance: 1897.4 on 1416 degrees of freedom
## AIC: 1907.4
##
## Number of Fisher Scoring iterations: 4
Effect plots
eff.cowles <- allEffects(mod.cowles,
xlevels=list(neuroticism=seq(0, 24, 6),
extraversion=seq(0, 24, 8)))
plot(eff.cowles, 'neuroticism:extraversion',
ylab="Prob(Volunteer)",
ticks=list(at=c(.1, .25, .5, .75, .9)),
layout=c(4,1), aspect=1)
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)
plot(eff.cowles, 'neuroticism:extraversion',
multiline=TRUE,
ylab="Prob(Volunteer)",
key.args=list(x = .8, y = .9))
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)
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