Boxplot with mean and standard deviation in ggPlot2 (plus Jitter)

When you create a boxplot in R, it automatically computes median, first and third quartile ("hinges") and 95% confidence interval of median ("notches").

But we would like to change the default values of boxplot graphics with the mean, the mean + standard deviation, the mean - S.D., the min and the max values.

Here is an example solved using ggplot2 package. Plus here are represented points (the single values) jittered horizontally.

	library(ggplot2)
	# create fictitious data
	a <- runif(10)
	b <- runif(12)
	c <- runif(7)
	d <- runif(15)
	# data groups
	group <- factor(rep(1:4, c(10, 12, 7, 15)))
	# dataframe
	mydata <- data.frame(c(a,b,c,d), group)
	names(mydata) <- c("value", "group")
	# function for computing mean, DS, max and min values
	min.mean.sd.max <- function(x) {
	r <- c(min(x), mean(x) - sd(x), mean(x), mean(x) + sd(x), max(x))
	names(r) <- c("ymin", "lower", "middle", "upper", "ymax")
	r
	}
	# ggplot code
	p1 <- ggplot(aes(y = value, x = factor(group)), data = mydata)
	p1 <- p1 + stat_summary(fun.data = min.mean.sd.max, geom = "boxplot") + geom_jitter(position=position_jitter(width=.2), size=3) + ggtitle("Boxplot con media, 95%CI, valore min. e max.") + xlab("Gruppi") + ylab("Valori")

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