load car package and the data
library(car)
data(Duncan, package="car")
head(Duncan) # first few observations
## type income education prestige
## accountant prof 62 86 82
## pilot prof 72 76 83
## architect prof 75 92 90
## author prof 55 90 76
## chemist prof 64 86 90
## minister prof 21 84 87
standard pairs plot
plot(~ prestige + income + education, data=Duncan)
pairs(~prestige + income + education, data=Duncan)
![](data:image/png;base64,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)
enhanced version
scatterplotMatrix(~prestige + income + education, data=Duncan, id.n=2)
![](data:image/png;base64,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)
model plots
duncan.mod <- lm(prestige ~ income + education, data=Duncan)
op <- par(mfrow=c(2,2), mar=c(4,4,2,1)+.1)
plot(duncan.mod, cex=1.2, cex.lab=1.2, pch=16, lwd=3)
![](data:image/png;base64,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)
par(op)
better version of an influence plot
influencePlot(duncan.mod, id.n=3)
![](data:image/png;base64,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)
## StudRes Hat CookD
## minister 3.1345186 0.17305816 0.56637974
## reporter -2.3970224 0.05439356 0.09898456
## conductor -1.7040324 0.19454165 0.22364122
## contractor 2.0438046 0.04325517 0.05852346
## RR.engineer 0.8089221 0.26908963 0.08096807
added variable plots show the partial relations of each preditor
avPlots(duncan.mod, id.n=2, pch=16,
ellipse=TRUE,
ellipse.args=list(levels=0.68, fill=TRUE, fill.alpha=0.1))
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)
effect plots
library(effects)
duncan.eff <- allEffects(duncan.mod)
plot(duncan.eff)
![](data:image/png;base64,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)
add term for type of job
duncan.mod1 <- update(duncan.mod, . ~ . + type)
summary(duncan.mod1)
##
## Call:
## lm(formula = prestige ~ income + education + type, data = Duncan)
##
## Residuals:
## Min 1Q Median 3Q Max
## -14.890 -5.740 -1.754 5.442 28.972
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) -0.18503 3.71377 -0.050 0.96051
## income 0.59755 0.08936 6.687 5.12e-08 ***
## education 0.34532 0.11361 3.040 0.00416 **
## typeprof 16.65751 6.99301 2.382 0.02206 *
## typewc -14.66113 6.10877 -2.400 0.02114 *
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 9.744 on 40 degrees of freedom
## Multiple R-squared: 0.9131, Adjusted R-squared: 0.9044
## F-statistic: 105 on 4 and 40 DF, p-value: < 2.2e-16
duncan.eff1 <- allEffects(duncan.mod1)
plot(duncan.eff1)
![](data:image/png;base64,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)
plot(duncan.eff1, ci.style="bands", rows=1, cols=3)
![](data:image/png;base64,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)
coefficient plots
library(coefplot)
duncan.mod2 <- lm(prestige ~ income * education, data=Duncan)
coefplot(duncan.mod2, intercept=FALSE, lwdInner=2,
lwdOuter=1, point.size=5,
title="Coefficient plot for duncan.mod2") + theme_bw()
![](data:image/png;base64,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)