#' OR and their confidence intervals for logistic regressions
#'
#' Computes odd ratios and their confidence intervals for logistic regressions
#'
#' @param model a \code{glm} object
#' @param alpha type I error, 0.05 by default
#' @return A matrix with the estimaed coefficients of the logistic model, their s.e., z-values, p-values, OR and CI of the OR
#' @author Hugo Varet
#' @examples
#' IC_OR_glm(glm(inherit~sex+age,data=cgd,family="binomial"))
IC_OR_glm=function(model,alpha=0.05){
# model must come from the glm() function
tab=matrix(nrow=nrow(summary(model)$coefficients),ncol=ncol(summary(model)$coefficients)+3,
dimnames = list(c(rownames(summary(model)$coefficients)),c(colnames(summary(model)$coefficients),"OR","IC.inf","IC.sup")))
tab[,1:ncol(summary(model)$coefficients)]=round(summary(model)$coefficients,digits=3)
for (i in 1:(nrow(summary(model)$coefficients))){
# i = index of the covariate
OR=round(exp(summary(model)$coefficients[i,1]),digits=3)
ICinf=round(exp(summary(model)$coefficients[i,1]-qnorm(1-alpha/2)*summary(model)$coefficients[i,2]),digits=3)
ICsup=round(exp(summary(model)$coefficients[i,1]+qnorm(1-alpha/2)*summary(model)$coefficients[i,2]),digits=3)
tab[i,5]=as.numeric(OR)
tab[i,6]=ICinf
tab[i,7]=ICsup
}
p=tab[,4]
signif=ifelse(p>=0.1,"",ifelse(p>=0.05,".",ifelse(p>=0.01,"*",ifelse(p>=0.001,"**","***"))))
res=cbind(tab,signif)
colnames(res)=c(colnames(tab),"")
return(noquote(res))
}
#y=rbinom(1000,1,0.4)
#x1=runif(1000)
#x2=runif(1000)
#x3=runif(1000)
#x4=runif(1000)
#
#model=glm(y~x1,family="binomial")
#IC_OR_glm(model)
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