titanic <-
read.table("http://lib.stat.cmu.edu/S/Harrell/data/ascii/titanic.txt",
sep=',', header=TRUE)

set.seed(4321)

titanic$sex[sample(nrow(titanic), 10)] <- NA
titanic$pclass[sample(nrow(titanic), 10)] <- NA
titanic$survived[sample(nrow(titanic), 10)] <- NA

library(Amelia) # generate multiple imputations
library(mitools) # for MIextract()
library(mix) # for mi.inference()

titanic.amelia <- amelia(subset(titanic,
select=c('survived','pclass','sex','age')),
                         m=10, noms=c('survived','pclass','sex'),
emburn=c(500,500))

allimplogreg <- lapply(titanic.amelia$imputations,
function(x){glm(survived ~ pclass + sex + age, family=binomial, data = x)})

mice.betas.glm <- MIextract(allimplogreg, fun=function(x){coef(x)})
mice.se.glm <- MIextract(allimplogreg, fun=function(x){sqrt(diag(vcov(x)))})

as.data.frame(mi.inference(mice.betas.glm, mice.se.glm))

# Or using only mitools for pooled inference

betas <- MIextract(allimplogreg, fun=coef)
vars <- MIextract(allimplogreg, fun=vcov)
summary(MIcombine(betas,vars))