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Convenient plotting of distribution shapes in R -
# plot_dist.R: convenience function for plotting distribution shapes.
# Ilari Scheinin
# 2016-11-17
# MIT License
# distribution: a density or distribution function, such as dnorm, pbeta, ...
# parameters: a (possibly named) vector of parameters for the
# density/distribution function
# from, to: the range over which the function will be plotted.
# n: the number of x values at which to evaluate.
# for PMFs, should be set to n=to-from+1 to avoid warnings.
# ...: further arguments to be passed to curve().
plot_dist <- function(distribution, parameters,
from = NULL, to = NULL, n = 101L,
xlab = "", ylab = NULL, legend = NULL,
legend.x = "topright", legend.y = NULL,
legend.move = c("down", "up", "no"),
col = par("col"), add = FALSE, ...) {
distribution_name <- as.character(substitute(distribution))
# if no ylab was given, try to infer density/probability from function name
if (is.null(ylab)) {
letter <- substr(distribution_name, start=1L, stop=1L)
if (letter == "d") {
ylab = "density"
} else if (letter == "p") {
ylab = "probability"
} else {
ylab = ""
# if no legend was given, use function name and parameter values
if (is.null(legend)) {
# for named parameters, include an equal sign
sep <- ifelse(names(parameters) != "", "=", "")
legend <- paste0(distribution_name, "(",
paste(paste0(names(parameters), sep, parameters), collapse = ", "),
distribution <-
legend.move <- match.arg(legend.move)
value <- curve(, c(list(x), as.list(parameters))),
from = from, to = to, n = n, xlab = xlab, ylab = ylab, col = col,
add = add, ...)
# add legend, and shift down/up if adding to an existing plot
legend_location <- paste(legend.x, legend.y)
if (add) {
legends <- getOption("plot_dist::legends", default = list())
} else {
legends <- list()
if (is.null(legends[[legend_location]])) {
legends[[legend_location]] <- 0L
if (legend.move == "down") {
legend <- c(rep("", times = legends[[legend_location]]), legend)
} else if (legend.move == "up") {
legend <- c(legend, rep("", times = legends[[legend_location]]))
legend(legend.x, legend.y, legend = legend, text.col = col, bty = "n")
legends[[legend_location]] <- legends[[legend_location]] + 1L
options("plot_dist::legends" = legends)
# simplest case
plot_dist(dbeta, c(2, 2))
# with named parameters
plot_dist(pnorm, c(mean=0, sd=1), from=-3, to=3,
main="Normal CDF", legend.x="bottomright")
plot_dist(dbeta, c(shape1=0.5, shape2=0.5), legend.x="top", col="red",
ylim=c(0, 2.5), main="Beta PDF")
plot_dist(dbeta, c(shape1=5, shape2=1), legend.x="top", col="blue", add=TRUE)
plot_dist(dbeta, c(shape1=1, shape2=3), legend.x="top", col="green", add=TRUE)
plot_dist(dbeta, c(shape1=2, shape2=2), legend.x="top", col="purple", add=TRUE)
plot_dist(dbeta, c(shape1=2, shape2=5), egend.x="top", col="orange", add=TRUE)
plot_dist(pbeta, c(shape1=0.5, shape2=0.5), legend.x="topleft", col="red",
main="Beta CDF")
plot_dist(pbeta, c(shape1=5, shape2=1), legend.x="topleft", col="blue",
plot_dist(pbeta, c(shape1=1, shape2=3), legend.x="topleft", col="green",
plot_dist(pbeta, c(shape1=2, shape2=2), legend.x="topleft", col="purple",
plot_dist(pbeta, c(shape1=2, shape2=5), legend.x="topleft", col="orange",
plot_dist(dbinom, c(p=0.5, size=20), from=0, to=40, n=41, type="p", pch=19,
col="blue", ylim=c(0, 0.25), main="Binomial PMF")
plot_dist(dbinom, c(p=0.7, size=20), n=41, type="p", pch=19,
col="green", add=TRUE)
plot_dist(dbinom, c(p=0.5, size=40), n=41, type="p", pch=19,
col="red", add=TRUE)
plot_dist(pbinom, c(p=0.5, size=40), from=0, to=40, type="p", pch=19,
legend.x="bottomright", col="red", main="Binomial CDF")
plot_dist(pbinom, c(p=0.7, size=20), type="p", pch=19,
legend.x="bottomright", legend.move="up", col="green", add=TRUE)
plot_dist(pbinom, c(p=0.5, size=20), type="p", pch=19,
legend.x="bottomright", legend.move="up", col="blue", add=TRUE)
plot_dist(dpois, c(lambda=1), from=0, to=20, n=21, type="b", pch=19,
col="orange", main="Poisson PMF")
plot_dist(dpois, c(lambda=4), n=21, type="b", pch=19,
col="purple", add=TRUE)
plot_dist(dpois, c(lambda=10), n=21, type="b", pch=19,
col="lightblue", add=TRUE)
plot_dist(ppois, c(lambda=10), from=0, to=20, type="b", pch=19,
legend.x="bottomright", col="lightblue", main="Poisson CDF")
plot_dist(ppois, c(lambda=4), type="b", pch=19,
legend.x="bottomright", legend.move="up", col="purple", add=TRUE)
plot_dist(ppois, c(lambda=1), type="b", pch=19,
legend.x="bottomright", legend.move="up", col="orange", add=TRUE)
plot_dist(dnorm, c(mean=0, sd=sqrt(0.2)), from=-5, to=5, col="blue",
main="Normal PDF")
plot_dist(dnorm, c(mean=0, sd=sqrt(1.0)), col="red", add=TRUE)
plot_dist(dnorm, c(mean=0, sd=sqrt(5.0)), col="orange", add=TRUE)
plot_dist(dnorm, c(mean=-2, sd=sqrt(0.5)), col="darkgreen", add=TRUE)
plot_dist(pnorm, c(mean=0, sd=sqrt(0.2)), from=-5, to=5, legend.x="topleft",
col="blue", main="Normal CDF")
plot_dist(pnorm, c(mean=0, sd=sqrt(1.0)), legend.x="topleft", col="red",
plot_dist(pnorm, c(mean=0, sd=sqrt(5.0)), legend.x="topleft", col="orange",
plot_dist(pnorm, c(mean=-2, sd=sqrt(0.5)), legend.x="topleft", col="darkgreen",
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