File:F-distribution pdf.svg

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

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Summary[edit]

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

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.

File history

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Date/TimeThumbnailDimensionsUserComment
current04:51, 20 January 2024Thumbnail for version as of 04:51, 20 January 2024800 × 600 (49 KB)Based5290 (talk | contribs)Fixed overlapping numbers and axes
18:47, 16 August 2014Thumbnail for version as of 18:47, 16 August 2014800 × 600 (41 KB)IkamusumeFan (talk | contribs)Change yellow to grey for better display.
07:02, 16 August 2014Thumbnail for version as of 07:02, 16 August 2014800 × 600 (41 KB)IkamusumeFan (talk | contribs)User created page with UploadWizard

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