# Inverse incomplete beta function Calculator

## Calculates the inverse incomplete beta function Bx(a,b) and inverse regularized beta function Ix(a,b).

 function Bx(a,b)Ix(a,b) a a＞0 b b＞0 6digit10digit14digit18digit22digit26digit30digit34digit38digit42digit46digit50digit
 $\normal Incomplete\ beta\ function\ B_x(a,b)\\\hspace{70}and\ regularized\ I_x(a,b)\\[10](1)\ B_x(a,b)={\large\int_{\tiny 0}^ {\hspace{25}\small x}}t^{a-1}(1-t)^{b-1}dt\\\hspace{90} Re(a),Re(b)\gt 0,\hspace{10} 0\le x\le1\\[10](2)\ I_x(a,b)={\large\frac{B_x(a,b)}{B(a,b)}}\\[10](2)\ I_x(a,b)+I_{1-x}(b,a)=1\\$

Inverse incomplete beta function
 [1-8] /8 Disp-Num5103050100200
[1]  2018/10/05 22:00   Male / 20 years old level / High-school/ University/ Grad student / Very /
Purpose of use
Verify beta calculation
[2]  2017/12/20 00:59   Male / Under 20 years old / High-school/ University/ Grad student / Not at All /
Purpose of use
To find a coded solution for finding the inverse regularised incomplete beta function
Comment/Request
[3]  2015/04/25 01:57   Male / 40 years old level / Others / Very /
Purpose of use
Studying confidence intervals for Binomial distribution
Comment/Request
Very useful. Thank you.
[4]  2014/12/04 01:15   Male / 60 years old level or over / A teacher / A researcher / Very /
Purpose of use
I used this calculator to check values computed with another process.
Comment/Request
This online calculator is very useful (and the notes and graphs provided valuable insight). Thanks.
[5]  2013/07/15 08:06   Male / 60 years old level or over / A teacher / A researcher / Very /
Purpose of use
I used this for checking the calculations for an exact confidence interval for a Binomial proportion. Worked a treat!
[6]  2011/07/10 22:15   Female / 20 years old level / A student / Very /
Purpose of use
compute water surface
[7]  2010/02/15 05:58   Male / 50 level / A researcher / Very /
Purpose of use
Comment/Request
[8]  2009/08/14 22:59   Male / 40 level / A researcher / Very /
Purpose of use
Checking own software
Comment/Request
Well done!

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