npm package: @stdlib/stats-base-dists-studentized-range
Description: Studentized range distribution.
Author: The Stdlib Authors
Latest version: 0.2.2

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# Studentized Range

[![NPM version][npm-image]][npm-url] [![Build Status][test-image]][test-url] [![Coverage Status][coverage-image]][coverage-url] <!-- [![dependencies][dependencies-image]][dependencies-url] -->

> Studentized range distribution.

<section class="installation">

## Installation

```bash
npm install @stdlib/stats-base-dists-studentized-range
```

</section>

<section class="usage">

## Usage

```javascript
var tukey = require( '@stdlib/stats-base-dists-studentized-range' );
```

#### tukey

[Studentized range][studentized-range] distribution.

```javascript
var dist = tukey;
// returns {...}
```

The namespace contains the following distribution functions:

<!-- <toc pattern="*+(cdf|pdf|mgf|quantile)*"> -->

<div class="namespace-toc">

-   <span class="signature">[`cdf( x, r, v[, nranges=1] )`][@stdlib/stats/base/dists/studentized-range/cdf]</span><span class="delimiter">: </span><span class="description">Studentized range distribution cumulative distribution function (CDF).</span>
-   <span class="signature">[`quantile( p, r, v[, nranges=1] )`][@stdlib/stats/base/dists/studentized-range/quantile]</span><span class="delimiter">: </span><span class="description">Studentized range distribution quantile function.</span>

</div>

<!-- </toc> -->

</section>

<!-- /.usage -->

<section class="examples">

## Examples

<!-- TODO: better examples -->

<!-- eslint no-undef: "error" -->

```javascript
var tukey = require( '@stdlib/stats-base-dists-studentized-range' );

/*
* Let's consider an example where we are analyzing the test scores of students in a class.
* We're interested in using the Studentized Range Distribution to analyze the range of scores.
* The distribution has parameters: r (number of means), v (degrees of freedom), and n (number of ranges).
*/

var r = 5.0;
var v = 20.0;
var n = 3.0;

// CDF can be used to calculate the cumulative distribution function at a specific value:
var out = tukey.cdf( 2.0, r, v, n );
// returns ~0.074

// Quantile can also be used to calculate the quantile function at a specific probability:
out = tukey.quantile( 0.9, r, v, n );
// returns ~4.433
```

</section>

<!-- /.examples -->

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<section class="related">

</section>

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<section class="main-repo" >

* * *

## Notice

This package is part of [stdlib][stdlib], 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 develop [stdlib][stdlib], see the main project [repository][stdlib].

#### Community

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---

## License

See [LICENSE][stdlib-license].


## Copyright

Copyright &copy; 2016-2026. The Stdlib [Authors][stdlib-authors].

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[umd]: https://github.com/umdjs/umd
[es-module]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Guide/Modules

[deno-url]: https://github.com/stdlib-js/stats-base-dists-studentized-range/tree/deno
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[stdlib-license]: https://raw.githubusercontent.com/stdlib-js/stats-base-dists-studentized-range/main/LICENSE

[studentized-range]: https://en.wikipedia.org/wiki/Studentized_range_distribution

<!-- <toc-links> -->

[@stdlib/stats/base/dists/studentized-range/cdf]: https://www.npmjs.com/package/@stdlib/stats-base-dists-studentized-range-cdf

[@stdlib/stats/base/dists/studentized-range/quantile]: https://www.npmjs.com/package/@stdlib/stats-base-dists-studentized-range-quantile

<!-- </toc-links> -->

</section>

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