Prepare data frame for plotting
berkeley <- as.data.frame(UCBAdmissions)
cellID <- paste(berkeley$Dept, substr(berkeley$Gender,1,1), '-',
substr(berkeley$Admit,1,3), sep="")
rownames(berkeley) <- cellID
using glm()
berk.mod <- glm(Freq ~ Dept * (Gender+Admit), data=berkeley, family="poisson")
summary(berk.mod)
##
## Call:
## glm(formula = Freq ~ Dept * (Gender + Admit), family = "poisson",
## data = berkeley)
##
## Deviance Residuals:
## Min 1Q Median 3Q Max
## -3.478 -0.414 0.010 0.309 2.232
##
## Coefficients:
## Estimate Std. Error z value Pr(>|z|)
## (Intercept) 6.2756 0.0425 147.74 < 2e-16 ***
## DeptB -0.4057 0.0677 -5.99 2.1e-09 ***
## DeptC -1.5394 0.0831 -18.54 < 2e-16 ***
## DeptD -1.3223 0.0816 -16.21 < 2e-16 ***
## DeptE -2.4028 0.1101 -21.82 < 2e-16 ***
## DeptF -3.0962 0.1576 -19.65 < 2e-16 ***
## GenderFemale -2.0333 0.1023 -19.87 < 2e-16 ***
## AdmitRejected -0.5935 0.0684 -8.68 < 2e-16 ***
## DeptB:GenderFemale -1.0758 0.2286 -4.71 2.5e-06 ***
## DeptC:GenderFemale 2.6346 0.1234 21.35 < 2e-16 ***
## DeptD:GenderFemale 1.9271 0.1246 15.46 < 2e-16 ***
## DeptE:GenderFemale 2.7548 0.1351 20.39 < 2e-16 ***
## DeptF:GenderFemale 1.9436 0.1268 15.32 < 2e-16 ***
## DeptB:AdmitRejected 0.0506 0.1097 0.46 0.64
## DeptC:AdmitRejected 1.2091 0.0973 12.43 < 2e-16 ***
## DeptD:AdmitRejected 1.2583 0.1015 12.40 < 2e-16 ***
## DeptE:AdmitRejected 1.6830 0.1173 14.34 < 2e-16 ***
## DeptF:AdmitRejected 3.2691 0.1671 19.57 < 2e-16 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## (Dispersion parameter for poisson family taken to be 1)
##
## Null deviance: 2650.095 on 23 degrees of freedom
## Residual deviance: 21.736 on 6 degrees of freedom
## AIC: 216.8
##
## Number of Fisher Scoring iterations: 4
Influence plot
influencePlot(berk.mod, id=list(n=3, labels=cellID))
![](data:image/png;base64,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)
## StudRes Hat CookD
## AM-Adm -4.154 0.959 22.305
## AM-Rej 4.150 0.925 11.892
## AF-Adm 4.099 0.685 2.087
## AF-Rej -4.418 0.430 0.724
## BM-Adm -0.504 0.984 0.883
## BM-Rej 0.504 0.973 0.507
## FM-Rej 0.620 0.969 0.672
op <- par(mfrow = c(2,2))
plot(berk.mod)
![](data:image/png;base64,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)
par(op)
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