Jump to content

File:F-distribution pdf.svg

Page contents not supported in other languages.
This is a file from the Wikimedia Commons
From Wikipedia, the free encyclopedia

Original file (SVG file, nominally 800 × 600 pixels, file size: 49 KB)

Any autoconfirmed user can overwrite this file from the same source. Please ensure that overwrites comply with the guideline.

Summary

Description
English: The pdf of the F distribution.
Date
Source Own work
Author IkamusumeFan
Other versions
SVG development
InfoField
 
The SVG code is valid.
 
This chart was created with Gnuplot.
Source code
InfoField

Gnuplot code

set term svg size 800,600 enhanced font 'Liberation Sans, 24'
set output 'f_pdf.svg'

set samples 500
set xrange [0:5]
set yrange [0:2.5]
set xtics 1
set ytics 0.5
set xzeroaxis lt -1 lc rgb "black" lw 1
set yzeroaxis lt -1 lc rgb "black" lw 1

# Draw the F distribution's pdf
set key default

f(x,d1,d2) = gamma(d1/2+d2/2)/gamma(d1/2)/gamma(d2/2)*((d1/d2)**(d1/2))*(x**(d1/2-1))*((1+d1*x/d2)**(-0.5*d1-0.5*d2))

plot f(x, 1.0, 1.0) t "d1=1, d2=1" lc rgb "red" lw 5,\
   f(x, 2.0, 1.0) t "d1=2, d2=1" lc rgb "black" lw 5,\
   f(x, 5.0, 2.0) t "d1=5, d2=2" lc rgb "blue" lw 5,\
   f(x,10.0, 1.0) t "d1=10, d2=1" lc rgb "green" lw 5,\
   f(x,100.0, 100.0) t "d1=100, d2=100" lc rgb "grey" lw 5

set output

Licensing

I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • 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.

Captions

Add a one-line explanation of what this file represents

Items portrayed in this file

depicts

inception

16 August 2014

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current04:51, 20 January 2024Thumbnail for version as of 04:51, 20 January 2024800 × 600 (49 KB)Based5290Fixed overlapping numbers and axes
18:47, 16 August 2014Thumbnail for version as of 18:47, 16 August 2014800 × 600 (41 KB)IkamusumeFanChange yellow to grey for better display.
07:02, 16 August 2014Thumbnail for version as of 07:02, 16 August 2014800 × 600 (41 KB)IkamusumeFanUser created page with UploadWizard

Global file usage

The following other wikis use this file:

Metadata

This file contains additional information, probably added from the digital camera or scanner used to create or digitize it.

If the file has been modified from its original state, some details may not fully reflect the modified file.

Retrieved from "https://en.wikipedia.org/wiki/File:F-distribution_pdf.svg"