## Normal Quantiles

Enter Normal Probability integral from -∞ to x (value between 0 and 1 please):

Usage: p=qnorm(0.05); // returns -1.6448536279366273
Source code:
```/** * @(#)qnorm.js * * Copyright (c) 2000 by Sundar Dorai-Raj
* * @author Sundar Dorai-Raj
* * Email: sdoraira@vt.edu
* * This program is free software; you can redistribute it and/or
* * modify it under the terms of the GNU General Public License
* * as published by the Free Software Foundation; either version 2
* * of the License, or (at your option) any later version,
* * provided that any use properly credits the author.
* * This program is distributed in the hope that it will be useful,
* * but WITHOUT ANY WARRANTY; without even the implied warranty of
* * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* * GNU General Public License for more details at http://www.gnu.org * * */

function qnorm(p) {
// ALGORITHM AS 111, APPL.STATIST., VOL.26, 118-121, 1977.
// Computes z=invNorm(p)
p=parseFloat(p);
split=0.42;
a0=  2.50662823884;
a1=-18.61500062529;
a2= 41.39119773534;
a3=-25.44106049637;
b1= -8.47351093090;
b2= 23.08336743743;
b3=-21.06224101826;
b4=  3.13082909833;
c0= -2.78718931138;
c1= -2.29796479134;
c2=  4.85014127135;
c3=  2.32121276858;
d1=  3.54388924762;
d2=  1.63706781897;
q=p-0.5;
if(Math.abs(q)<=split) {
r=q*q;
ppnd=q*(((a3*r+a2)*r+a1)*r+a0)/((((b4*r+b3)*r+b2)*r+b1)*r+1);
}
else {
r=p;
if(q>0) r=1-p;
if(r>0) {
r=Math.sqrt(-Math.log(r));
ppnd=(((c3*r+c2)*r+c1)*r+c0)/((d2*r+d1)*r+1);
if(q<0) ppnd=-ppnd;
}
else {
ppnd=0;
}
}
return(ppnd);
}
```
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