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#' An alternative plot for displaying dissimilarity distances of subgroups
#'
#' this function produces a plot for displaying dissimilarity distances of pairwise subgroups, where dissmiliarity distance is
#' defined by 1 - |intersect(A, B)|/|A|, for any sets A and B and A is the baseline set. The letters represent subgroups defined
#' by the categories of the selected covariates.The vertical axis represents dissimilarity distance. Each column has a letter
#' standing for a subgroup as the baseline for calculating dissimilarity distances. There are two modes of display - one is that
#' subgroup letters are located at the exact dissimilarity distance with different types and colours of points; the other is
#' that lines connected to all the points. The colour of lines or points indicates whether subgroups are from the same
#' covariate or not. The number of types shows how many categories (from the same covariate) are considered as subgroups. The
#' range of dissimilarity distances can be adjusted.
#'
#' @param dat a data set
#' @param covari.sel a vector of indices of covariates
#' @param mode a value specifying the type of display; either 1 or 2.
#' @param range.ds a vector specifying the range of the dissimilarity distance
#' @param font.size a vector specifying the size of labels and text; the first element is for the title; the second is for the x-axis label; the third
#' is for the labels of baseline subgroups; the fourth is for the remaining subgroup labels (except for the baseline subgroup).
#' @param title a string specifying the main titles.
#' @param lab.y a string specifying the y-axis label.
#'
#' @examples
#' data(prca)
#' dat <- prca
#' ## 1. dissimilarity alternative plot ----------------------------------------
#' plot_dissimilarity_alternative(dat = dat,
#' covari.sel = c(4,5,6),
#' mode = 2,
#' range.ds = c(0,1),
#' font.size = c(1, 1, 0.7),
#' title = NULL,
#' lab.y = "Similarity distance")
#'
#' @export
#' @import grid
#' @import graphics
plot_dissimilarity_alternative <- function(dat, covari.sel, mode, range.ds = c(0,1), font.size = c(1.3, 1, 1), title = NULL, lab.y = NULL)
{
old.par <- par(no.readonly=T)
################################################ 0. argument validity check #################################################################
if (missing(dat)) stop("Data have not been inputed!")
if (!(is.data.frame(dat))) stop("The data set is not with a data frame!")
if (missing(covari.sel)) stop("The variables for defining subgroups have not been specified!")
if (!(is.numeric(covari.sel))) stop("The variables for defining subgroups are not numeric!")
for (i in 1 : length(covari.sel)) if (!(is.factor(dat[,covari.sel[i]]))) stop("The variables for defining subgroups are not categorical!")
if (missing(mode)) stop("The mode of display has not been specified!")
if (!(mode %in% c(1, 2) )) stop("The type of display is unrecognisable!")
if (!(is.numeric(range.ds))) stop("The range of dissimilarity distance not numeric!")
if (!(length(range.ds) == 2)) stop("The range of dissimilarity distance should have four compoents specifying the minimum and maximum!")
if ((sum(range.ds < 0) != 0) || (sum(range.ds > 1) != 0)) stop("The range should be only allowed within the interval [0, 1]!")
if (!(is.numeric(font.size))) stop("The argument about the font sizes of the label and text is not numeric!")
if (!(length(font.size) == 3)) stop("The font size set-ups of labels or text should have three compoents only!")
################################################ 1. create subgroup overlap data #################################################################
n.covari = length(covari.sel) # the number of the covariates which is used for defining subgroups
lab.vars = names(dat)[covari.sel] # the names of the covariates which is used for defining subgroups
cats.var = list() # a list marking the categories of the selected covariates
n.cat.var = vector() # a vector marking the category numbers of the selected covariates
n.subgrp.tol = 0 # the total number of subgroups
for (i in 1 : n.covari){
cats.var[[i]] = names(table(dat[,covari.sel[i]]))
n.cat.var[i] = length(cats.var[[i]])
n.subgrp.tol = n.subgrp.tol + length(cats.var[[i]])
}
cond = list()
data.subgrp = list()
ss.subgrp = matrix(rep(0, n.subgrp.tol * n.subgrp.tol), nrow = n.subgrp.tol) # a matrix storing subgroup sample sizes
k = 0
for (i in 1: length(covari.sel)){
for (j in 1:2){ #length(cats.var[[i]])
k = k + 1
cond[[k]] = which((dat[, covari.sel[i]] == cats.var[[i]][j]) == T )
ss.subgrp[k, k] = length(cond[[k]])
data.subgrp[[k]] = dat[cond[[k]], ]
}
}
k = n.subgrp.tol
r.prop = diag(n.subgrp.tol) # a matrix storing relative overlap proportions of pairwise subgroups
for (i in 1 : (n.subgrp.tol - 1) ){
for (j in (i + 1) : (n.subgrp.tol) ){
k = k + 1
cond[[k]] = intersect(cond[[i]], cond[[j]])
ss.subgrp[i, j] = length(cond[[k]])
ss.subgrp[j, i] = length(cond[[k]])
r.prop[i, j] = ss.subgrp[i, j] / ss.subgrp[i, i]
r.prop[j, i] = ss.subgrp[j, i] / ss.subgrp[j, j]
}
}
lab.subgrp = vector()
k = 0
for (i in 1: length(covari.sel)){
for (j in 1:2){ #length(cats.var[[i]])
k = k + 1
# lab.subgrp[k] = paste(LETTERS[i], j, sep = "")
lab.subgrp[k] = paste(lab.vars[i], "=", cats.var[[i]][j], sep = "")
}
}
colnames(r.prop) = rownames(r.prop) = lab.subgrp
# print(r.prop)
################################################ 2. produce a graph #################################################################
layout(matrix(c(1,2), byrow = TRUE, nrow=2, ncol=1), widths=c(1,1), heights=c(5,1))
## create the main figure
par(mar = c(3,4,2,1))
par(mar = c(1,4,1,1))
y.lim.min = range.ds[1]
y.lim.max = range.ds[2]
plot(0, 0, type='n', xlab = "", ylab = "",
ylim = c(y.lim.min, y.lim.max), xlim = c(1, n.subgrp.tol),
xaxt="n", yaxt="n")
axis(1, at = seq(1, n.subgrp.tol, 1),
labels = c(lab.subgrp[1:(n.subgrp.tol)]))
axis(2, at = seq(y.lim.min, y.lim.max,
len = 11), labels = round(seq(y.lim.min, y.lim.max, len = 11), 2))
# rect(par("usr")[1], par("usr")[3], par("usr")[2], par("usr")[4], col = "gray88")
title(main = title, ylab = lab.y, cex.lab = font.size[2], cex.main = font.size[1])
for (i in 0:10){
abline(h = y.lim.min + i * (y.lim.max - y.lim.min)/ (11 -1), col = "gray90",lty = 1)
}
pch.lab = seq(0, max(n.cat.var), 1) + 2
lty.lab = rep(3, length(seq(0, max(n.cat.var), 1)))
col.lab = colorRampPalette(c("red", "yellow", "darkgreen","brown", "blue"))(n.covari)
n.cat.var.acc = c(0, n.cat.var)
k = 0
i=j=1
for (i in 1:length(covari.sel)){
for (j in 1:2){ #length(cats.var[[i]])
k = k + 1
idx.rm = 1:n.cat.var[i] + sum(n.cat.var.acc[1:i])
# idx.rm = c(i,i+length(covari.sel))
x.pos = setdiff(seq(1, n.subgrp.tol, 1), idx.rm)
# idx.rm = 1:n.cat.var[i] + sum(n.cat.var.acc[1:i])
# x.pos = rep((i-1) + j, n.subgrp.tol - 2)
y.pos = 1 - r.prop[-idx.rm,k]
if (mode == 1) {
lines(x.pos, y.pos, type="o", lty = lty.lab[j], col = col.lab[i], lwd = 2, pch = pch.lab[j] )
}else if (mode == 2){
points(x.pos, y.pos, col = col.lab[i], pch = pch.lab[j] )
}
}
}
## add the legend
par(mar = c(2,0.2,2,2))
par(mar = c(0.5,0,0,0))
col.lab2 <- pch.lab2 <- lty.lab2 <- vector()
plot(0, 0, type='n', xlab = "", ylab = "", ylim = c(0, 1), xlim = c(1, n.subgrp.tol), xaxt="n", yaxt="n", bty = "n")
k = 0
for (i in 1: length(covari.sel)){
for (j in 1:2){ #length(cats.var[[i]])
k = k + 1
if (mode == 1) {
lines(rep(-1, n.subgrp.tol), rep(-1, n.subgrp.tol), type="o", lty = lty.lab[j], col = col.lab[i], lwd = 2, pch = pch.lab[j] )
}else if (mode == 2){
points(rep(-1, n.subgrp.tol), rep(-1, n.subgrp.tol), col = col.lab[i], pch = pch.lab[j] )}
col.lab2[k] = col.lab[i]
pch.lab2[k] = pch.lab[j]
lty.lab2[k] = lty.lab[j]
}
}
par(xpd=TRUE)
if (mode == 1){
legend("top", lab.subgrp[1:(n.subgrp.tol)],
cex = font.size[3],
col= col.lab2, pch = pch.lab2, lty= lty.lab2,
lwd = rep(2, n.subgrp.tol), horiz = FALSE)
}else if (mode == 2){
legend("bottom", lab.subgrp[1:(n.subgrp.tol)],
cex = font.size[3],
col= col.lab2, pch = pch.lab2, horiz = TRUE)
}
par(old.par)
}
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