I came across an interesting SAS macro that was used for visualizing log odds relationships of data.  This type of chart is helpful for visualizing the relationship between a binary dependent variable and a continuous independent variable.  I don’t use SAS on a daily basis as I prefer to use R.  So I got to thinking that I could recreate this macro using only R.  I thought this would be a good tutorial for R on developing functions, using different plot techniques, and overlapping chart types.

The following picture is the result of the logodds function in R.  The chart is really close but not quite exact.  For the histogram points I decided to use the default squares of the stripchart plot and used a grey color to make it look a little faded.


The following is the R script.

logoddsFnc <- function(data_ind, data_dep, ind_varname, min.count=1){

  # Assumptions: x & y are numeric vectors of the same
  # length, y is 0/1 varible.  This returns a vector
  # of breaks of the x variable where each bin has at
  # least min.countnumber of y’s
  bin.by.other.count <- function(x, other, min.cnt=1) {
    csum <- cumsum(tapply(other, x, sum))
    breaks <- numeric(0)
 
    i <- 1
    breaks[i] <- as.numeric(names(csum)[1])
    cursum <- csum[1]
 
    for ( a in names(csum) ) {
      if ( csum[a] – cursum >= min.cnt ) {
        i <- i + 1
        breaks[i] <- as.numeric(a)
        cursum <- csum[a]
      }
    }
 
    breaks
  }
 
  brks <- bin.by.other.count(data_ind, data_dep, min.cnt=min.count)
 
  # Visualizing binary categorical data
  var_cut <- cut(data_ind, breaks=brks, include.lowest=T)
  var_mean <- tapply(data_dep, var_cut, mean)
  var_median <- tapply(data_ind, var_cut, median)
 
  mydf <- data.frame(ind=data_ind, dep=data_dep)
  fit <- glm(dep ~ ind, data=mydf, family=binomial())
  pred <- predict(fit, data.frame(ind=min(data_ind):max(data_ind)),
          type=”response”, se.fit=T)
 
  # Plot
  plot(x=var_median, y=var_mean, ylim=c(0,1.15),
       xlab=ind_varname, ylab=”Exp Prob”, pch=21, bg=”black”)
  stripchart(data_ind[data_dep==0], method=”stack”,
             at=0, add=T, col=”grey”)
  stripchart(data_ind[data_dep==1], method=”stack”,
             at=1, add=T, col=”grey”)
 
  lines(x=min(data_ind):max(data_ind),
        y=pred$fit, col=”blue”, lwd=2)
  lines(lowess(x=var_median,
               y=var_mean, f=.30), col=”red”)
 
  lines(x=min(data_ind):max(data_ind),
        y=pred$fit – 1.96*pred$se.fit, lty=2, col=”blue”)
  lines(x=min(data_ind):max(data_ind),
        y=pred$fit + 1.96*pred$se.fit, lty=2, col=”blue”)
}



 

logoddsFnc(icu$age, icu$died, “age”, min.count=3)



The ICU data  for this example can be found in the R package “vcdExtra”.  Special thanks to David of Univ. of Dallas for providing me with a way to develop breaks in the independent variable as seen by the bin.by.other.count function. 

The author of the SAS macro is also the author of Visualizing Categorical Data by M. Friendly which is a great reference for analyzing and visualizing data in factored groups.