ResultsLog_statistics-distributions_Ymdf_js.txt

/*Results with "statistics-distributions_Ymdf.js" on 2016-08-01.
* The all code was tested on Firebug 2.0.17 
* in Firefox 47.0 (32-bit Ubuntu 14.04).
*
* 2016 Yuji SODE <yuji.sode@gmail.com>
*
* Updated on 2017-02-15.
* The updated code was tested on The Web Console
* in Firefox 51.0.1(32-bit)(32-bit Ubuntu 14.04).
*/

/*
* info: Example
* tested code etc.
* result
*/


/*===examples SYNOPSIS in "statistics-distributions-001.js"===*/

//info: Chi-squared-crit (2 degrees of freedom, 95th percentile = 0.05 level
chisqrdistr(2, .05);
//5.9915

//info: u-crit (95th percentile = 0.05 level)
udistr(.05);
//1.6449

//info: t-crit (1 degree of freedom, 99.5th percentile = 0.005 level)
tdistr(1,.005);
//63.657

//info: F-crit (1 degree of freedom in numerator, 3 degrees of freedom 
//      in denominator, 99th percentile = 0.01 level)
fdistr(1,3,.01);
//34.116

//info: upper probability of the u distribution (u = -0.85): Q(u) = 1-G(u)
uprob(-0.85);
//0.80234

//info: upper probability of the chi-square distribution
//      (3 degrees of freedom, chi-squared = 6.25): Q = 1-G
chisqrprob(3,6.25);
//0.10006

//info: upper probability of the t distribution
//      (3 degrees of freedom, t = 6.251): Q = 1-G
tprob(3,6.251);
//0.0041301

//info: upper probability of the F distribution
//      (3 degrees of freedom in numerator, 5 degrees of freedom in
//      denominator, F = 6.25): Q = 1-G
fprob(3,5,.625);
//0.62911

//additional test
//info: upper probability of the F distribution
//      (3 degrees of freedom in numerator, 5 degrees of freedom in
//      denominator, F = 6.25): Q = 1-G
fprob(3,5,6.25);
//0.038173
/*==============================================================
* Reports by Oakley E. Gordon in mail from Ben Tilly(Feb 14, 2017 at 10:08 AM)
* on: February 13, 2017 at 10:07:52 AM MST and Feb 13, 2017 at 10:13 AM
* ==============================================================
*/
//info: upper probability of the F distribution
//      (6 degrees of freedom in numerator, 60 degrees of freedom in
//      denominator, F = 2): Q = 1-G
fprob(6,60,2);
//0.079691

//info: upper probability of the F distribution
//      (6 degrees of freedom in numerator, 61 degrees of freedom in
//      denominator, F = 2): Q = 1-G
fprob(6,61,2);
//0.079403

//info: upper probability of the F distribution
//      (6 degrees of freedom in numerator, 59 degrees of freedom in
//      denominator, F = 2): Q = 1-G
fprob(6,59,2);
//0.079988

//info: upper probability of the F distribution
//      (1 degrees of freedom in numerator, 10 degrees of freedom in
//      denominator, F = 25): Q = 1-G
fprob(1,10,25);
//0.00053733