x <- (-300:300)/100
pdf("norm_dist.pdf", width=10, height=7)
plot(x, dnorm(x), type="l", ylab=expression(phi1(x)), axes=F)
qa <- qnorm(0.75)-qnorm(0.25)
abline(v=c(-2, -1, 0, 1, 2))
abline(v=c(-2*qa, -qa, qnorm(0.25), qnorm(0.75), qa, 2*qa), col="red")
axis(1, at=c(-2, -1, 0, 1, 2),
labels=c(expression(mu-2*sigma),
expression(mu-sigma),
expression(mu),
expression(mu+sigma),
expression(mu+2*sigma)))
axis(3, at=c(-2*qa, -qa, qnorm(0.25), 0, qnorm(0.75), qa, 2*qa),
labels=c(
expression(mu-2*IQR),
expression(mu-IQR),
expression(q[25]),
expression(tilde(mu)),
expression(q[75]),
expression(mu+IQR),
expression(mu+2*IQR)), col.ticks="red")
box()
dev.off()
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