Distribusi F

Fisher-Snedecor

Fungsi densitas probabilitas
Fungsi distribusi kumulatif
parameter:	$d_{1}>0,\ d_{2}>0$$d_{1}>0,\ d_{2}>0$ derajat kebebasan
dukungan:	$x\in [0,+\infty )\!$$x\in [0,+\infty )\!$
pdf:	${\frac {\sqrt {\frac {(d_{1}\,x)^{d_{1}}\,\,d_{2}^{d_{2}}}{(d_{1}\,x+d_{2})^{d_{1}+d_{2}}}}}{x\,\mathrm {B} \!\left({\frac {d_{1}}{2}},{\frac {d_{2}}{2}}\right)}}\!$${\frac {\sqrt {\frac {(d_{1}\,x)^{d_{1}}\,\,d_{2}^{d_{2}}}{(d_{1}\,x+d_{2})^{d_{1}+d_{2}}}}}{x\,\mathrm {B} \!\left({\frac {d_{1}}{2}},{\frac {d_{2}}{2}}\right)}}\!$
cdf:	$I_{\frac {d_{1}x}{d_{1}x+d_{2}}}(d_{1}/2,d_{2}/2)\!$$I_{\frac {d_{1}x}{d_{1}x+d_{2}}}(d_{1}/2,d_{2}/2)\!$
rata-rata:	${\frac {d_{2}}{d_{2}-2}}\!$${\frac {d_{2}}{d_{2}-2}}\!$ untuk $d_{2}>2$$d_{2}>2$
median:
modus:	${\frac {d_{1}-2}{d_{1}}}\;{\frac {d_{2}}{d_{2}+2}}\!$${\frac {d_{1}-2}{d_{1}}}\;{\frac {d_{2}}{d_{2}+2}}\!$ for $d_{1}>2$$d_{1}>2$
ragam:	${\frac {2\,d_{2}^{2}\,(d_{1}+d_{2}-2)}{d_{1}(d_{2}-2)^{2}(d_{2}-4)}}\!$${\frac {2\,d_{2}^{2}\,(d_{1}+d_{2}-2)}{d_{1}(d_{2}-2)^{2}(d_{2}-4)}}\!$ for $d_{2}>4$$d_{2}>4$
skewness:	${\frac {(2d_{1}+d_{2}-2){\sqrt {8(d_{2}-4)}}}{(d_{2}-6){\sqrt {d_{1}(d_{1}+d_{2}-2)}}}}\!$${\frac {(2d_{1}+d_{2}-2){\sqrt {8(d_{2}-4)}}}{(d_{2}-6){\sqrt {d_{1}(d_{1}+d_{2}-2)}}}}\!$ untuk $d_{2}>6$$d_{2}>6$
ex.kurtosis:	lihat teks
entropi:
mgf:	tidak ada, momen mentah tidak terdefinisi
cf:	lihat teks

Dalam teori probabilitas dan statistika, distribusi F merupakan distribusi probabilitas kontinyu. Distribusi F juga dikenal dengan sebutan distribusi F Snedecor atau distribusi Fisher-Snedecor (setelah R.A. Fisher dan George W. Snedecor). Distribusi F seringkali digunakan dalam pengujian statistika, antara lain analisis varians dan analisis regresi.

Pranala luar

• Table of critical values of the F-distribution
• Earliest Uses of Some of the Words of Mathematics: entry on F-distribution contains a brief history