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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

    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.

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    depicts

    inception

    16 August 2014

    data size

    50,672 byte

    media type

    image/svg+xml

    checksum

    6d397eb95fea30410dd6b037aef30581399e357a

    determination method or standard: SHA-1

    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)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

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