library(car) # for Anova()
library(ggplot2)
library(effects) # effect plots
Load the data
data(UCBAdmissions)
berkeley <- as.data.frame(UCBAdmissions)
Logit model for Dept
berk.logit1 <- glm(Admit=="Admitted" ~ Dept, data=berkeley,
weights=Freq, family="binomial")
Anova(berk.logit1, test="Wald")
## Analysis of Deviance Table (Type II tests)
##
## Response: Admit == "Admitted"
## Df Chisq Pr(>Chisq)
## Dept 5 623.03 < 2.2e-16 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
summary(berk.logit1)
##
## Call:
## glm(formula = Admit == "Admitted" ~ Dept, family = "binomial",
## data = berkeley, weights = Freq)
##
## Deviance Residuals:
## Min 1Q Median 3Q Max
## -25.4328 -13.2031 -0.0277 15.9185 21.2218
##
## Coefficients:
## Estimate Std. Error z value Pr(>|z|)
## (Intercept) 0.59346 0.06838 8.679 <2e-16 ***
## DeptB -0.05059 0.10968 -0.461 0.645
## DeptC -1.20915 0.09726 -12.432 <2e-16 ***
## DeptD -1.25833 0.10152 -12.395 <2e-16 ***
## DeptE -1.68296 0.11733 -14.343 <2e-16 ***
## DeptF -3.26911 0.16707 -19.567 <2e-16 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## (Dispersion parameter for binomial family taken to be 1)
##
## Null deviance: 6044.3 on 23 degrees of freedom
## Residual deviance: 5189.0 on 18 degrees of freedom
## AIC: 5201
##
## Number of Fisher Scoring iterations: 6
Main effects model
berk.logit2 <- glm(Admit=="Admitted" ~ Dept+Gender,
data=berkeley, weights=Freq, family="binomial")
Anova(berk.logit2, test="Wald")
## Analysis of Deviance Table (Type II tests)
##
## Response: Admit == "Admitted"
## Df Chisq Pr(>Chisq)
## Dept 5 534.708 <2e-16 ***
## Gender 1 1.526 0.2167
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
summary(berk.logit2)
##
## Call:
## glm(formula = Admit == "Admitted" ~ Dept + Gender, family = "binomial",
## data = berkeley, weights = Freq)
##
## Deviance Residuals:
## Min 1Q Median 3Q Max
## -25.3424 -13.0584 -0.1631 16.0167 21.3199
##
## Coefficients:
## Estimate Std. Error z value Pr(>|z|)
## (Intercept) 0.58205 0.06899 8.436 <2e-16 ***
## DeptB -0.04340 0.10984 -0.395 0.693
## DeptC -1.26260 0.10663 -11.841 <2e-16 ***
## DeptD -1.29461 0.10582 -12.234 <2e-16 ***
## DeptE -1.73931 0.12611 -13.792 <2e-16 ***
## DeptF -3.30648 0.16998 -19.452 <2e-16 ***
## GenderFemale 0.09987 0.08085 1.235 0.217
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## (Dispersion parameter for binomial family taken to be 1)
##
## Null deviance: 6044.3 on 23 degrees of freedom
## Residual deviance: 5187.5 on 17 degrees of freedom
## AIC: 5201.5
##
## Number of Fisher Scoring iterations: 6
Plots for logit models
obs <- log(UCBAdmissions[1,,] / UCBAdmissions[2,,])
pred2 <- cbind(berkeley[,1:3], fit=predict(berk.logit2))
pred2 <- cbind(subset(pred2, Admit=="Admitted"), obs=as.vector(obs))
head(pred2)
## Admit Gender Dept fit obs
## 1 Admitted Male A 0.5820514 0.4921214
## 3 Admitted Female A 0.6819215 1.5441974
## 5 Admitted Male B 0.5386535 0.5337493
## 7 Admitted Female B 0.6385236 0.7537718
## 9 Admitted Male C -0.6805466 -0.5355182
## 11 Admitted Female C -0.5806765 -0.6604399
ggplot(pred2, aes(x=Dept, y=fit, group=Gender, color=Gender)) +
geom_line(size=1.4) +
geom_point(aes(y=obs), size=3) +
labs(y="Log odds (Admitted") +
theme_bw(base_size = 16) +
theme(legend.position = c(.75, .80))
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)
Effect plots
berk.eff2 <- allEffects(berk.logit2)
plot main effects
plot(berk.eff2)
![](data:image/png;base64,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)
# plot 'interaction'
plot(effect('Dept:Gender', berk.logit2), multiline=TRUE)
![](data:image/png;base64,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)
include a 1 df term for dept A
berkeley <- within(berkeley, dept1AG <- (Dept=='A')*(Gender=='Female'))
berk.logit3 <- glm(Admit=="Admitted" ~ Dept + Gender + dept1AG,
data=berkeley, weights=Freq, family="binomial")
Anova(berk.logit3, test="Wald")
## Analysis of Deviance Table (Type II tests)
##
## Response: Admit == "Admitted"
## Df Chisq Pr(>Chisq)
## Dept 5 445.1207 < 2.2e-16 ***
## Gender 1 0.1251 0.7235
## dept1AG 1 15.3167 9.091e-05 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
plot(effect('Dept:Gender', berk.logit3), multiline=TRUE)
![](data:image/png;base64,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)
obs <- log(UCBAdmissions[1,,] / UCBAdmissions[2,,])
pred3 <- cbind(berkeley[,1:3], fit=predict(berk.logit3))
pred3 <- cbind(subset(pred3, Admit=="Admitted"), obs=as.vector(obs))
head(pred3)
## Admit Gender Dept fit obs
## 1 Admitted Male A 0.4921214 0.4921214
## 3 Admitted Female A 1.5441974 1.5441974
## 5 Admitted Male B 0.5441816 0.5337493
## 7 Admitted Female B 0.5134898 0.7537718
## 9 Admitted Male C -0.5958952 -0.5355182
## 11 Admitted Female C -0.6265870 -0.6604399
ggplot(pred3, aes(x=Dept, y=fit, group=Gender, color=Gender)) +
geom_line(size=1.4) +
geom_point(aes(y=obs), size=3) +
labs(y="Log odds (Admitted") +
theme_bw(base_size = 16) +
theme(legend.position = c(.75, .80))
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)
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