# F-distribution (percentile) Calculator

## Calculates the percentile from the lower or upper cumulative distribution function of the F-distribution.

 cumulative mode lower P upper Q cumulative distribution 0≦P,Q≦1 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 (percentile)
 [1-4] /4 Disp-Num5103050100200
[1]  2017/12/12 03:04   Male / 20 years old level / High-school/ University/ Grad student / Very /
Purpose of use
I used it for statistics class assignment.
[2]  2014/08/04 06:47   Male / 40 years old level / High-school/ University/ Grad student / Very /
Purpose of use
I needed to calculate the possibility that my findings in stepwise regression were random chance.
[3]  2012/03/28 15:37   Male / Under 20 years old / A student / Very /
Purpose of use
Class Project
Comment/Request
Very helpful. Do you have these for other distributions?
[4]  2010/10/26 05:57   Male / 20 level / A university student / Very /
Comment/Request
I like the equation formatting that includes the integral notation of what I'm doing. Thank you.

Sending completion

To improve this 'F-distribution (percentile) 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?