{"id":24069466,"url":"https://github.com/stdlib-js/stats","last_synced_at":"2025-04-09T23:20:43.398Z","repository":{"id":42645051,"uuid":"360552917","full_name":"stdlib-js/stats","owner":"stdlib-js","description":"Standard library statistical functions.","archived":false,"fork":false,"pushed_at":"2025-04-09T07:57:59.000Z","size":781955,"stargazers_count":10,"open_issues_count":0,"forks_count":0,"subscribers_count":3,"default_branch":"main","last_synced_at":"2025-04-09T08:37:21.930Z","etag":null,"topics":["javascript","lib","library","math","mathematics","node","node-js","nodejs","standard","statistics","stats","stdlib"],"latest_commit_sha":null,"homepage":null,"language":"JavaScript","has_issues":false,"has_wiki":null,"has_pages":null,"mirror_url":null,"source_name":null,"license":"apache-2.0","status":null,"scm":"git","pull_requests_enabled":true,"icon_url":"https://github.com/stdlib-js.png","metadata":{"files":{"readme":"README.md","changelog":"CHANGELOG.md","contributing":"CONTRIBUTING.md","funding":null,"license":"LICENSE","code_of_conduct":"CODE_OF_CONDUCT.md","threat_model":null,"audit":null,"citation":"CITATION.cff","codeowners":null,"security":"SECURITY.md","support":null,"governance":null,"roadmap":null,"authors":null,"dei":null,"publiccode":null,"codemeta":null},"funding":{"github":["stdlib-js"],"open_collective":"stdlib","tidelift":"npm/@stdlib/stdlib"}},"created_at":"2021-04-22T14:42:39.000Z","updated_at":"2025-04-09T07:50:36.000Z","dependencies_parsed_at":"2023-10-03T15:12:55.747Z","dependency_job_id":"42965185-90d8-4e6b-b43d-9329a9ef12a8","html_url":"https://github.com/stdlib-js/stats","commit_stats":{"total_commits":185,"total_committers":2,"mean_commits":92.5,"dds":0.00540540540540535,"last_synced_commit":"8fd30c60bbd8f4d847bf98e72a3a1be052c34768"},"previous_names":[],"tags_count":37,"template":false,"template_full_name":null,"repository_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/stdlib-js%2Fstats","tags_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/stdlib-js%2Fstats/tags","releases_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/stdlib-js%2Fstats/releases","manifests_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/stdlib-js%2Fstats/manifests","owner_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners/stdlib-js","download_url":"https://codeload.github.com/stdlib-js/stats/tar.gz/refs/heads/main","host":{"name":"GitHub","url":"https://github.com","kind":"github","repositories_count":248008267,"owners_count":21032551,"icon_url":"https://github.com/github.png","version":null,"created_at":"2022-05-30T11:31:42.601Z","updated_at":"2022-07-04T15:15:14.044Z","host_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub","repositories_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories","repository_names_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repository_names","owners_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners"}},"keywords":["javascript","lib","library","math","mathematics","node","node-js","nodejs","standard","statistics","stats","stdlib"],"created_at":"2025-01-09T14:57:35.834Z","updated_at":"2025-04-09T23:20:38.368Z","avatar_url":"https://github.com/stdlib-js.png","language":"JavaScript","readme":"\u003c!--\n\n@license Apache-2.0\n\nCopyright (c) 2018 The Stdlib Authors.\n\nLicensed under the Apache License, Version 2.0 (the \"License\");\nyou may not use this file except in compliance with the License.\nYou may obtain a copy of the License at\n\n   http://www.apache.org/licenses/LICENSE-2.0\n\nUnless required by applicable law or agreed to in writing, software\ndistributed under the License is distributed on an \"AS IS\" BASIS,\nWITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.\nSee the License for the specific language governing permissions and\nlimitations under the License.\n\n--\u003e\n\n\n\u003cdetails\u003e\n  \u003csummary\u003e\n    About stdlib...\n  \u003c/summary\u003e\n  \u003cp\u003eWe 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.\u003c/p\u003e\n  \u003cp\u003eThe 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.\u003c/p\u003e\n  \u003cp\u003eWhen 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.\u003c/p\u003e\n  \u003cp\u003eTo join us in bringing numerical computing to the web, get started by checking us out on \u003ca href=\"https://github.com/stdlib-js/stdlib\"\u003eGitHub\u003c/a\u003e, and please consider \u003ca href=\"https://opencollective.com/stdlib\"\u003efinancially supporting stdlib\u003c/a\u003e. We greatly appreciate your continued support!\u003c/p\u003e\n\u003c/details\u003e\n\n# Stats\n\n[![NPM version][npm-image]][npm-url] [![Build Status][test-image]][test-url] [![Coverage Status][coverage-image]][coverage-url] \u003c!-- [![dependencies][dependencies-image]][dependencies-url] --\u003e\n\n\u003e Statistical functions.\n\n\u003csection class=\"installation\"\u003e\n\n## Installation\n\n```bash\nnpm install @stdlib/stats\n```\n\nAlternatively,\n\n-   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]).\n-   If you are using Deno, visit the [`deno`][deno-url] branch (see [README][deno-readme] for usage intructions).\n-   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]).\n\nThe [branches.md][branches-url] file summarizes the available branches and displays a diagram illustrating their relationships.\n\nTo 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.\n\n\u003c/section\u003e\n\n\u003csection class=\"usage\"\u003e\n\n## Usage\n\n```javascript\nvar statistics = require( '@stdlib/stats' );\n```\n\n#### statistics\n\nNamespace containing statistical functions.\n\n```javascript\nvar stats = statistics;\n// returns {...}\n```\n\nThe namespace exposes the following statistical tests:\n\n\u003c!-- \u003ctoc pattern=\"+(*test*|chi2gof|anova1|wilcoxon)\"\u003e --\u003e\n\n\u003cdiv class=\"namespace-toc\"\u003e\n\n-   \u003cspan class=\"signature\"\u003e[`anova1( x, factor[, opts] )`][@stdlib/stats/anova1]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eperform a one-way analysis of variance.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`bartlettTest( a[,b,...,k][, opts] )`][@stdlib/stats/bartlett-test]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute Bartlett’s test for equal variances.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`binomialTest( x[, n][, opts] )`][@stdlib/stats/binomial-test]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eexact test for the success probability in a Bernoulli experiment.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`chi2gof( x, y[, ...args][, options] )`][@stdlib/stats/chi2gof]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eperform a chi-square goodness-of-fit test.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`chi2test( x[, options] )`][@stdlib/stats/chi2test]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eperform a chi-square independence test.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`flignerTest( a[,b,...,k][, opts] )`][@stdlib/stats/fligner-test]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the Fligner-Killeen test for equal variances.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`kruskalTest( a[,b,...,k][, opts] )`][@stdlib/stats/kruskal-test]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute the Kruskal-Wallis test for equal medians.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`kstest( x, y[, ...params][, opts] )`][@stdlib/stats/kstest]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eone-sample Kolmogorov-Smirnov goodness-of-fit test.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`leveneTest( x[, y, ..., z][, opts] )`][@stdlib/stats/levene-test]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute Levene's test for equal variances.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`pcorrtest( x, y[, opts] )`][@stdlib/stats/pcorrtest]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute a Pearson product-moment correlation test between paired samples.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`ttest( x[, y][, opts] )`][@stdlib/stats/ttest]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eone-sample and paired Student's t-Test.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`ttest2( x, y[, opts] )`][@stdlib/stats/ttest2]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003etwo-sample Student's t-Test.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`vartest( x, y[, opts] )`][@stdlib/stats/vartest]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003etwo-sample F-test for equal variances.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`wilcoxon( x[, y][, opts] )`][@stdlib/stats/wilcoxon]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eone-sample and paired Wilcoxon signed rank test.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`ztest( x, sigma[, opts] )`][@stdlib/stats/ztest]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eone-sample z-Test.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`ztest2( x, y, sigmax, sigmay[, opts] )`][@stdlib/stats/ztest2]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003etwo-sample z-Test.\u003c/span\u003e\n\n\u003c/div\u003e\n\n\u003c!-- \u003c/toc\u003e --\u003e\n\nIn addition, it contains an assortment of functions for computing statistics incrementally as part of the `incr` sub-namespace and functions for computing statistics over iterators in the `iterators` namespace.\n\n\u003c!-- \u003ctoc pattern=\"+(incr|iter)\"\u003e --\u003e\n\n\u003cdiv class=\"namespace-toc\"\u003e\n\n-   \u003cspan class=\"signature\"\u003e[`incr`][@stdlib/stats/incr]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eincremental statistics.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`iterators`][@stdlib/stats/iter]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003estatistical function iterators.\u003c/span\u003e\n\n\u003c/div\u003e\n\n\u003c!-- \u003c/toc\u003e --\u003e\n\nThe `base` sub-namespace contains functions to calculate statistics alongside a `dists` namespace containing functions related to a wide assortment of probability distributions.\n\n\u003c!-- \u003ctoc pattern=\"+(base)\"\u003e --\u003e\n\n\u003cdiv class=\"namespace-toc\"\u003e\n\n-   \u003cspan class=\"signature\"\u003e[`base`][@stdlib/stats/base]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ebase (i.e., lower-level) statistical functions.\u003c/span\u003e\n\n\u003c/div\u003e\n\n\u003c!-- \u003c/toc\u003e --\u003e\n\nOther statistical functions included are:\n\n\u003c!-- \u003ctoc pattern=\"*\" ignore=\"+(*test*|chi2gof|anova1)\" ignore=\"incr\" ignore=\"iterators\" ignore=\"base\" \u003e --\u003e\n\n\u003cdiv class=\"namespace-toc\"\u003e\n\n-   \u003cspan class=\"signature\"\u003e[`kde2d()`][@stdlib/stats/kde2d]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003etwo-dimensional kernel density estimation.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`lowess( x, y[, opts] )`][@stdlib/stats/lowess]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003elocally-weighted polynomial regression via the LOWESS algorithm.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`padjust( pvals, method[, comparisons] )`][@stdlib/stats/padjust]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003eadjust supplied p-values for multiple comparisons.\u003c/span\u003e\n-   \u003cspan class=\"signature\"\u003e[`ranks( arr[, opts] )`][@stdlib/stats/ranks]\u003c/span\u003e\u003cspan class=\"delimiter\"\u003e: \u003c/span\u003e\u003cspan class=\"description\"\u003ecompute ranks for values of an array-like object.\u003c/span\u003e\n\n\u003c/div\u003e\n\n\u003c!-- \u003c/toc\u003e --\u003e\n\n\u003c/section\u003e\n\n\u003c!-- /.usage --\u003e\n\n\u003csection class=\"examples\"\u003e\n\n## Examples\n\n\u003c!-- TODO: better examples --\u003e\n\n\u003c!-- eslint no-undef: \"error\" --\u003e\n\n```javascript\nvar objectKeys = require( '@stdlib/utils/keys' );\nvar statistics = require( '@stdlib/stats' );\n\nconsole.log( objectKeys( statistics ) );\n```\n\n\u003c/section\u003e\n\n\u003c!-- /.examples --\u003e\n\n\u003c!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. --\u003e\n\n\u003csection class=\"related\"\u003e\n\n\u003c/section\u003e\n\n\u003c!-- /.related --\u003e\n\n\u003c!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. --\u003e\n\n\n\u003csection class=\"main-repo\" \u003e\n\n* * *\n\n## Notice\n\nThis 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.\n\nFor 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].\n\n#### Community\n\n[![Chat][chat-image]][chat-url]\n\n---\n\n## Copyright\n\nCopyright \u0026copy; 2016-2025. The Stdlib [Authors][stdlib-authors].\n\n\u003c/section\u003e\n\n\u003c!-- /.stdlib --\u003e\n\n\u003c!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. --\u003e\n\n\u003csection class=\"links\"\u003e\n\n[npm-image]: http://img.shields.io/npm/v/@stdlib/stats.svg\n[npm-url]: https://npmjs.org/package/@stdlib/stats\n\n[test-image]: https://github.com/stdlib-js/stats/actions/workflows/test.yml/badge.svg?branch=main\n[test-url]: https://github.com/stdlib-js/stats/actions/workflows/test.yml?query=branch:main\n\n[coverage-image]: https://img.shields.io/codecov/c/github/stdlib-js/stats/main.svg\n[coverage-url]: https://codecov.io/github/stdlib-js/stats?branch=main\n\n\u003c!--\n\n[dependencies-image]: https://img.shields.io/david/stdlib-js/stats.svg\n[dependencies-url]: https://david-dm.org/stdlib-js/stats/main\n\n--\u003e\n\n[chat-image]: https://img.shields.io/gitter/room/stdlib-js/stdlib.svg\n[chat-url]: https://app.gitter.im/#/room/#stdlib-js_stdlib:gitter.im\n\n[stdlib]: https://github.com/stdlib-js/stdlib\n\n[stdlib-authors]: https://github.com/stdlib-js/stdlib/graphs/contributors\n\n[umd]: https://github.com/umdjs/umd\n[es-module]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Guide/Modules\n\n[deno-url]: https://github.com/stdlib-js/stats/tree/deno\n[deno-readme]: https://github.com/stdlib-js/stats/blob/deno/README.md\n[umd-url]: https://github.com/stdlib-js/stats/tree/umd\n[umd-readme]: https://github.com/stdlib-js/stats/blob/umd/README.md\n[esm-url]: https://github.com/stdlib-js/stats/tree/esm\n[esm-readme]: https://github.com/stdlib-js/stats/blob/esm/README.md\n[branches-url]: https://github.com/stdlib-js/stats/blob/main/branches.md\n\n\u003c!-- \u003ctoc-links\u003e --\u003e\n\n[@stdlib/stats/kde2d]: https://github.com/stdlib-js/stats/tree/main/kde2d\n\n[@stdlib/stats/lowess]: https://github.com/stdlib-js/stats/tree/main/lowess\n\n[@stdlib/stats/padjust]: https://github.com/stdlib-js/stats/tree/main/padjust\n\n[@stdlib/stats/ranks]: https://github.com/stdlib-js/stats/tree/main/ranks\n\n[@stdlib/stats/base]: https://github.com/stdlib-js/stats/tree/main/base\n\n[@stdlib/stats/incr]: https://github.com/stdlib-js/stats/tree/main/incr\n\n[@stdlib/stats/iter]: https://github.com/stdlib-js/stats/tree/main/iter\n\n[@stdlib/stats/anova1]: https://github.com/stdlib-js/stats/tree/main/anova1\n\n[@stdlib/stats/bartlett-test]: https://github.com/stdlib-js/stats/tree/main/bartlett-test\n\n[@stdlib/stats/binomial-test]: https://github.com/stdlib-js/stats/tree/main/binomial-test\n\n[@stdlib/stats/chi2gof]: https://github.com/stdlib-js/stats/tree/main/chi2gof\n\n[@stdlib/stats/chi2test]: https://github.com/stdlib-js/stats/tree/main/chi2test\n\n[@stdlib/stats/fligner-test]: https://github.com/stdlib-js/stats/tree/main/fligner-test\n\n[@stdlib/stats/kruskal-test]: https://github.com/stdlib-js/stats/tree/main/kruskal-test\n\n[@stdlib/stats/kstest]: https://github.com/stdlib-js/stats/tree/main/kstest\n\n[@stdlib/stats/levene-test]: https://github.com/stdlib-js/stats/tree/main/levene-test\n\n[@stdlib/stats/pcorrtest]: https://github.com/stdlib-js/stats/tree/main/pcorrtest\n\n[@stdlib/stats/ttest]: https://github.com/stdlib-js/stats/tree/main/ttest\n\n[@stdlib/stats/ttest2]: https://github.com/stdlib-js/stats/tree/main/ttest2\n\n[@stdlib/stats/vartest]: https://github.com/stdlib-js/stats/tree/main/vartest\n\n[@stdlib/stats/wilcoxon]: https://github.com/stdlib-js/stats/tree/main/wilcoxon\n\n[@stdlib/stats/ztest]: https://github.com/stdlib-js/stats/tree/main/ztest\n\n[@stdlib/stats/ztest2]: https://github.com/stdlib-js/stats/tree/main/ztest2\n\n\u003c!-- \u003c/toc-links\u003e --\u003e\n\n\u003c/section\u003e\n\n\u003c!-- /.links --\u003e\n","funding_links":["https://github.com/sponsors/stdlib-js","https://opencollective.com/stdlib","https://tidelift.com/funding/github/npm/@stdlib/stdlib"],"categories":[],"sub_categories":[],"project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fstdlib-js%2Fstats","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Fstdlib-js%2Fstats","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fstdlib-js%2Fstats/lists"}