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About stdlib...

We believe in a future in which the web is a preferred environment for numerical computation. To help realize this future, we've built stdlib. stdlib is a standard library, with an emphasis on numerical and scientific computation, written in JavaScript (and C) for execution in browsers and in Node.js.

The library is fully decomposable, being architected in such a way that you can swap out and mix and match APIs and functionality to cater to your exact preferences and use cases.

When you use stdlib, you can be absolutely certain that you are using the most thorough, rigorous, well-written, studied, documented, tested, measured, and high-quality code out there.

To join us in bringing numerical computing to the web, get started by checking us out on GitHub, and please considerfinancially supporting stdlib. We greatly appreciate your continued support!

Cumulative Distribution Function

Studentized range distributioncumulative distribution function (CDF).

Installation

npm install @stdlib/stats-base-dists-studentized-range-cdf

Alternatively,

To load the package in a website via ascript tag without installation and bundlers, use theES Module available on theesm branch (seeREADME).
If you are using Deno, visit thedeno branch (seeREADME for usage intructions).
For use in Observable, or in browser/node environments, use theUniversal Module Definition (UMD) build available on theumd branch (seeREADME).

Thebranches.md file summarizes the available branches and displays a diagram illustrating their relationships.

To view installation and usage instructions specific to each branch build, be sure to explicitly navigate to the respective README files on each branch, as linked to above.

Usage

varcdf=require('@stdlib/stats-base-dists-studentized-range-cdf');

cdf( x, r, v[, nranges=1] )

Evaluates thecumulative distribution function (CDF) for astudentized range distribution with sample sizer andv degrees of freedom. Optionally, the number of groups whose maximum range is considered can be specified via thenranges parameter.

vary=cdf(0.5,3.0,2.0);// returns ~0.0644y=cdf(12.1,17.0,2.0);// returns ~0.913y=cdf(0.5,3.0,2.0,2);// returns ~0.01

If providedNaN as any argument, the function returnsNaN.

vary=cdf(NaN,2.0,2.0);// returns NaNy=cdf(1.5,NaN,2.0);// returns NaN

If providedv < 2 orr < 2, the function returnsNaN.

vary=cdf(2.0,-1.0,3.0);// returns NaNy=cdf(2.0,3.0,1.5);// returns NaN

cdf.factory( r, v[, nranges=1] )

Returns afunction for evaluating thecdf of astudentized range distribution with sample sizer andv degrees of freedom. Optionally. Optionally, the number of groups whose maximum range is considered can be specified via thenranges parameter.

varmycdf=cdf.factory(3.0,2.0);vary=mycdf(3.0);// returns ~0.712y=mycdf(1.0);// returns ~0.216

Examples

varrandu=require('@stdlib/random-base-randu');varcdf=require('@stdlib/stats-base-dists-studentized-range-cdf');varv;varq;varr;vary;vari;for(i=0;i<10;i++){q=randu()*12.0;r=(randu()*20.0)+2.0;v=(randu()*10.0)+2.0;y=cdf(q,r,v);console.log('q: %d, r: %d, v: %d, F(x;v): %d',q.toFixed(4),r.toFixed(4),v.toFixed(4),y.toFixed(4));}

Notice

This package is part ofstdlib, a standard library for JavaScript and Node.js, with an emphasis on numerical and scientific computing. The library provides a collection of robust, high performance libraries for mathematics, statistics, streams, utilities, and more.

For more information on the project, filing bug reports and feature requests, and guidance on how to developstdlib, see the main projectrepository.