Main effects model, with two interactions
arrests.mod <- glm(released ~ employed + citizen + checks +
colour*year + colour*age,
family=binomial, data=Arrests)
Anova(arrests.mod)
## Analysis of Deviance Table (Type II tests)
##
## Response: released
## LR Chisq Df Pr(>Chisq)
## employed 72.7 1 < 2e-16 ***
## citizen 25.8 1 3.8e-07 ***
## checks 205.2 1 < 2e-16 ***
## colour 19.6 1 9.7e-06 ***
## year 6.1 5 0.29785
## age 0.5 1 0.49827
## colour:year 21.7 5 0.00059 ***
## colour:age 13.9 1 0.00019 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
plot all effects
arrests.effects <- allEffects(arrests.mod,
xlevels=list(age=seq(15,45,5)))
plot(arrests.effects,
ylab="Probability(released)")
![](data:image/png;base64,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)
Plot 3-way effect (not in model)
plot(effect("colour:year:age", arrests.mod,
xlevels=list(age=15:45)),
multiline=TRUE,
ylab="Probability(released)",
rug=FALSE)
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)
colour x year interaction
plot(effect("colour:year", arrests.mod),
multiline=TRUE, ylab="Probability(released)")
![](data:image/png;base64,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)
colour x age interaction
plot(effect("colour:age", arrests.mod),
multiline=FALSE, ylab="Probability(released)")
![](data:image/png;base64,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)
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