File:StudentizedRangePDF.svg
Summary
| Description |
English: Studentized range distribution PDFs, aka dtukey in R. |
| Date | |
| Source | Own work |
| Author | Shiyu Ji |
| SVG development |
Source code
This media was created with R (programming language for statistical analysis)Category:Images with R source code
Here is a listing of the source used to create this file.
Here is a listing of the source used to create this file.
# Display the Student's range distributions with various
# degrees of freedom.
svg(filename='StudentizedRangePDF.svg')
x <- seq(0, 5, length=400)
hx <- pnorm(x)
k <- c(2, 2, 2, 3, 10)
df <- c(2, 4, 8, 10, 10)
colors <- c("red", "blue", "grey", "gold", "green", "black")
labels <- c("k=2 df=2", "k=2 df=4", "k=2 df=8", "k=3 df=10", "k=10 df=10",
"k=10 df=100")
dtukey <- function(q, nmeans, df) {
delta = 0.001
return ((ptukey(q+delta, nmeans, df) - ptukey(q, nmeans, df)) / delta)
}
# standard normal PDF
plot(x, dtukey(q=x, nmeans=10, df=100), lwd=2, col="black",
type="l", xlab="x", ylab="PDF f(x)", ylim=c(0, 6e-4))
# studentized range distri.
for (i in 1:5){
lines(x, dtukey(q=x, nmeans=k[i], df=df[i]), lwd=2, col=colors[i])
}
legend("topright", inset=.05,
labels, lwd=2, lty=c(1, 1, 1, 1, 1, 1), col=colors)
Licensing
Shiyu Ji, the copyright holder of this work, hereby publishes it under the following license:
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Attribution:
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- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
