# F-distribution Calculator

## Calculates the probability density function and lower and upper cumulative distribution functions of the F-distribution.

 percentile x x≧0 degree of freedom ν1 ν1＞0 degree of freedom ν2 ν2＞0 6digit10digit14digit18digit22digit26digit30digit34digit38digit42digit46digit50digit
 $\normal F-distribution\ F(x,\nu_1,\nu_2)\\[10](1)\qquad probability\ density\\\hspace{30}f(x,\nu_1,\nu_2)={\large\frac{\nu_1^{\frac{\nu_1}{2}}\ \nu_2^{\frac{\nu_2}{2}}}{B(\frac{\nu_1}{2},\frac{\nu_2}{2})}} {\large\frac{x^{\frac{\nu_1}{2}-1}} {\ (\nu_2+\nu_1x)^{\frac{\nu_1+\nu_2}{2}}}}\\(2)\qquad lower\ cumulative\ distribution\\\hspace{30}P(x,\nu_1,\nu_2)={\large\int_{\small 0}^{\hspace{25}\small x}}f(t,\nu_1,\nu_2)dt\\(3)\qquad upper\ cumulative\ distribution\\\hspace{30}Q(x,\nu_1,\nu_2)={\large\int_{\small x}^{\hspace{25}\small\infty}}f(t,\nu_1,\nu_2)dt\\$
F-distribution
 [1-3] /3 Disp-Num5103050100200
[1]  2013/09/26 12:12   Male / 40 years old level / High-school/ University/ Grad student / Very /
Purpose of use
Checking accuracy of my programing
Comment/Request
Impressive calculator results.
[2]  2012/11/21 23:58   Male / 20 years old level / High-school/ University/ Grad student / Very /
Purpose of use
to improve my knowledge
[3]  2009/07/03 00:34   Male / 20 level / A university student / Very /
Purpose of use
exam purpose
Comment/Request
work more on the site

Sending completion

To improve this 'F-distribution Calculator', please fill in questionnaire.
Male or Female ?
Male Female
Age
Under 20 years old 20 years old level 30 years old level
40 years old level 50 years old level 60 years old level or over
Occupation
Elementary school/ Junior high-school student
High-school/ University/ Grad student A homemaker An office worker / A public employee
Self-employed people An engineer A teacher / A researcher
A retired person Others
Useful?
Very Useful A little Not at All
Purpose of use?