https://github.com/stdlib-js/stats-base-dists-studentized-range
Studentized range distribution.
https://github.com/stdlib-js/stats-base-dists-studentized-range
continuous dist distribution javascript lib library node node-js nodejs probability range standard statistics stats stdlib studentized tukey univariate
Last synced: 4 months ago
JSON representation
Studentized range distribution.
- Host: GitHub
- URL: https://github.com/stdlib-js/stats-base-dists-studentized-range
- Owner: stdlib-js
- License: apache-2.0
- Created: 2022-08-26T02:24:33.000Z (almost 4 years ago)
- Default Branch: main
- Last Pushed: 2026-01-30T23:09:40.000Z (5 months ago)
- Last Synced: 2026-01-31T14:30:13.884Z (5 months ago)
- Topics: continuous, dist, distribution, javascript, lib, library, node, node-js, nodejs, probability, range, standard, statistics, stats, stdlib, studentized, tukey, univariate
- Language: JavaScript
- Homepage: https://github.com/stdlib-js/stdlib
- Size: 953 KB
- Stars: 2
- Watchers: 2
- Forks: 0
- Open Issues: 0
-
Metadata Files:
- Readme: README.md
- Changelog: CHANGELOG.md
- Contributing: CONTRIBUTING.md
- License: LICENSE
- Code of conduct: CODE_OF_CONDUCT.md
- Citation: CITATION.cff
- Security: SECURITY.md
- Notice: NOTICE
Awesome Lists containing this project
README
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 consider financially supporting stdlib. We greatly appreciate your continued support!
# Studentized Range
[![NPM version][npm-image]][npm-url] [![Build Status][test-image]][test-url] [![Coverage Status][coverage-image]][coverage-url]
> Studentized range distribution.
## Installation
```bash
npm install @stdlib/stats-base-dists-studentized-range
```
Alternatively,
- To load the package in a website via a `script` tag without installation and bundlers, use the [ES Module][es-module] available on the [`esm`][esm-url] branch (see [README][esm-readme]).
- If you are using Deno, visit the [`deno`][deno-url] branch (see [README][deno-readme] for usage intructions).
- For use in Observable, or in browser/node environments, use the [Universal Module Definition (UMD)][umd] build available on the [`umd`][umd-url] branch (see [README][umd-readme]).
The [branches.md][branches-url] 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
```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:
- [`cdf( x, r, v[, nranges=1] )`][@stdlib/stats/base/dists/studentized-range/cdf]: Studentized range distribution cumulative distribution function (CDF).
- [`quantile( p, r, v[, nranges=1] )`][@stdlib/stats/base/dists/studentized-range/quantile]: Studentized range distribution quantile function.
## Examples
```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
```
* * *
## 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
[![Chat][chat-image]][chat-url]
---
## Copyright
Copyright © 2016-2026. The Stdlib [Authors][stdlib-authors].
[npm-image]: http://img.shields.io/npm/v/@stdlib/stats-base-dists-studentized-range.svg
[npm-url]: https://npmjs.org/package/@stdlib/stats-base-dists-studentized-range
[test-image]: https://github.com/stdlib-js/stats-base-dists-studentized-range/actions/workflows/test.yml/badge.svg?branch=main
[test-url]: https://github.com/stdlib-js/stats-base-dists-studentized-range/actions/workflows/test.yml?query=branch:main
[coverage-image]: https://img.shields.io/codecov/c/github/stdlib-js/stats-base-dists-studentized-range/main.svg
[coverage-url]: https://codecov.io/github/stdlib-js/stats-base-dists-studentized-range?branch=main
[chat-image]: https://img.shields.io/badge/zulip-join_chat-brightgreen.svg
[chat-url]: https://stdlib.zulipchat.com
[stdlib]: https://github.com/stdlib-js/stdlib
[stdlib-authors]: https://github.com/stdlib-js/stdlib/graphs/contributors
[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
[deno-readme]: https://github.com/stdlib-js/stats-base-dists-studentized-range/blob/deno/README.md
[umd-url]: https://github.com/stdlib-js/stats-base-dists-studentized-range/tree/umd
[umd-readme]: https://github.com/stdlib-js/stats-base-dists-studentized-range/blob/umd/README.md
[esm-url]: https://github.com/stdlib-js/stats-base-dists-studentized-range/tree/esm
[esm-readme]: https://github.com/stdlib-js/stats-base-dists-studentized-range/blob/esm/README.md
[branches-url]: https://github.com/stdlib-js/stats-base-dists-studentized-range/blob/main/branches.md
[studentized-range]: https://en.wikipedia.org/wiki/Studentized_range_distribution
[@stdlib/stats/base/dists/studentized-range/cdf]: https://github.com/stdlib-js/stats-base-dists-studentized-range-cdf
[@stdlib/stats/base/dists/studentized-range/quantile]: https://github.com/stdlib-js/stats-base-dists-studentized-range-quantile