boxplotTT {tailTransform}

Parallel Boxplots After Tail Transformation

Description

Plots one or more boxplots for differences after applying the same tail transformation to all differences. See the help file for ttrans() for information about the transformation.

Usage

boxplotTT(y, p = -1, qu = 0.95, tcks = NULL, ylab = "", xlab = "",main = "")

Arguments

y

A vector, matrix, or dataframe of differences to be transformed and plotted. Each column becomes a different boxplot after transformation.

p

The power of the transformation. See the help file for the ttrans() function.

qu

One number strictly between 0 and 1, commonly 0.9 or 0.95. Define beta to be the qu quantile of abs(as.vector(y)). Then, values between -beta and beta are not transformed.

tcks

A vector of untransformed values to become tick marks for the y axis after transformation. Although the y axis was transformed, it is labeled with corresponding untransformed values given by tcks. If is.null(tcks), then the y axis has no tick marks.

ylab

Label for the y-axis.

xlab

Label for the x-axis.

main

Title for the plot.

Details

See the help file for ttrans() for an explanation of the transformation.

Value

A boxplot.

Author(s)

Paul R. Rosenbaum

References

Rosenbaum, P. R. (2022). A new transformation of treated-control matched-pair differences for graphical display. Manuscript.

See Also

ttrans

Examples

data(aHDL)
y<-t(matrix(aHDL$hdl,4,406))
y<-y[,c(1,3,2,4)]
colnames(y)<-c("D","N","R","B")


# 6 pairwise comparisons of 4 groups
o<-matrix(NA,dim(y)[1],6)
colnames(o)<-1:6
k<-0
for (i in 1:3)
  for (j in (i+1):4){
    k<-k+1
    colnames(o)[k]<-paste(colnames(y)[i],colnames(y)[j],sep="-")
    o[,k]<-y[,i]-y[,j]
  }
rm(i,j,k)

# Plotting tick marks.  Remember, the transformation compresses
# extremes, so unequally spaced tick marks are usually needed.
tcks<-c(-100,-60,-40,-20,0,20,40,60,200)

# tails transformed by the p=-1 power (i.e., reciprocal)
boxplotTT(o,p=-1,qu=.95,tcks=tcks,ylab="HDL",
     xlab="Pairwise Comparisons of 4 Groups",
     main="HDL Differences in 4 Alcohol Groups")