# F-distribution (percentile) Calculator

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

 cumulative mode lower Pupper 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 ?
Age

Occupation

Useful?

Purpose of use?