@stdlib/stats-levene-test

Levene's test for equal variances.

https://github.com/stdlib-js/stats-levene-test

Science Score: 44.0%

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equal hypothesis javascript levene math mathematics node node-js nodejs statistics stats stdlib summary test variance

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Levene's test for equal variances.

Basic Info

Host: GitHub
Owner: stdlib-js
License: apache-2.0
Language: JavaScript
Default Branch: main
Homepage: https://github.com/stdlib-js/stdlib
Size: 3.8 MB

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equal hypothesis javascript levene math mathematics node node-js nodejs statistics stats stdlib summary test variance

Created over 4 years ago · Last pushed 7 months ago

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Readme Changelog Contributing License Code of conduct Citation Security

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!

Levene's Test

Compute Levene's test for equal variances.

Levene's test is used to test the null hypothesis that the variances of `k` groups are equal against the alternative that at least two of them are different.

## Installation ```bash npm install @stdlib/stats-levene-test ``` 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 leveneTest = require( '@stdlib/stats-levene-test' ); ``` #### leveneTest( x\[, y, ..., z]\[, opts] ) Calculates Levene's test for input arrays `x`, `y`, ..., `z` holding numeric observations. ```javascript // Data from Hollander & Wolfe (1973), p. 116: var x = [ 2.9, 3.0, 2.5, 2.6, 3.2 ]; var y = [ 3.8, 2.7, 4.0, 2.4 ]; var z = [ 2.8, 3.4, 3.7, 2.2, 2.0 ]; var out = leveneTest( x, y, z ); /* returns { 'rejected': false, 'alpha': 0.05, 'df': [ 2, 11 ], 'pValue': ~0.1733, 'statistic': ~2.0638, ... } */ ``` The function accepts the following `options`: - **alpha**: `number` on the interval `[0,1]` giving the significance level of the hypothesis test. Default: `0.05`. - **groups**: an `array` of group indicators. Only applicable when providing a single numeric array holding all observations. By default, the test is carried out at a significance level of `0.05`. To test at a different significance level, set the `alpha` option. ```javascript var x = [ 2.9, 3.0, 2.5, 2.6, 3.2 ]; var y = [ 3.8, 2.7, 4.0, 2.4 ]; var z = [ 2.8, 3.4, 3.7, 2.2, 2.0 ]; var out = leveneTest( x, y, z, { 'alpha': 0.01 }); /* returns { 'rejected': false, 'alpha': 0.01, 'df': [ 2, 11 ], 'pValue': ~0.1733, 'statistic': ~2.0638, ... } */ ``` In addition to providing multiple arrays, the function supports providing a single numeric array holding all observations along with an array of group indicators. ```javascript var arr = [ 2.9, 3.0, 2.5, 2.6, 3.2, 3.8, 2.7, 4.0, 2.4, 2.8, 3.4, 3.7, 2.2, 2.0 ]; var groups = [ 'a', 'a', 'a', 'a', 'a', 'b', 'b', 'b', 'b', 'c', 'c', 'c', 'c', 'c' ]; var out = leveneTest( arr, { 'groups': groups }); ``` The returned object comes with a `.print()` method which, when invoked, prints a formatted output of test results. The method accepts the following options: - **digits**: number of decimal digits displayed for the outputs. Default: `4`. - **decision**: `boolean` indicating whether to print the test decision. Default: `true`. ```javascript var x = [ 2.9, 3.0, 2.5, 2.6, 3.2 ]; var y = [ 3.8, 2.7, 4.0, 2.4 ]; var z = [ 2.8, 3.4, 3.7, 2.2, 2.0 ]; var out = leveneTest( x, y, z ); console.log( out.print() ); /* => Levene's test for Homogeneity of Variance Null hypothesis: The variances in all groups are the same. df 1: 2 df 2: 11 F score: 2.0638 P Value: 0.1733 Test Decision: Fail to reject null in favor of alternative at 5% significance level */ ```

## Examples ```javascript var leveneTest = require( '@stdlib/stats-levene-test' ); // Data from Hollander & Wolfe (1973), p. 116: var x = [ 2.9, 3.0, 2.5, 2.6, 3.2 ]; var y = [ 3.8, 2.7, 4.0, 2.4 ]; var z = [ 2.8, 3.4, 3.7, 2.2, 2.0 ]; var out = leveneTest( x, y, z ); /* returns { 'rejected': false, 'alpha': 0.05, 'df': [ 2, 11 ], 'pValue': ~0.1733, 'statistic': ~2.0638, ... } */ var table = out.print(); /* returns Levene's test for Homogeneity of Variance Null hypothesis: The variances in all groups are the same. df 1: 2 df 2: 11 F score: 2.0638 P Value: 0.1733 Test Decision: Fail to reject null in favor of alternative at 5% significance level */ ```

* * * ## 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] --- ## License See [LICENSE][stdlib-license]. ## Copyright Copyright © 2016-2025. The Stdlib [Authors][stdlib-authors].

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Twitter: stdlibjs
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Standard library for JavaScript.

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cff-version: 1.2.0
title: stdlib
message: >-
  If you use this software, please cite it using the
  metadata from this file.

type: software

authors:
  - name: The Stdlib Authors
    url: https://github.com/stdlib-js/stdlib/graphs/contributors

repository-code: https://github.com/stdlib-js/stdlib
url: https://stdlib.io

abstract: |
  Standard library for JavaScript and Node.js.

keywords:
  - JavaScript
  - Node.js
  - TypeScript
  - standard library
  - scientific computing
  - numerical computing
  - statistical computing

license: Apache-2.0 AND BSL-1.0

date-released: 2016

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npmjs.org: @stdlib/stats-levene-test

Levene's test for equal variances.

Homepage: https://stdlib.io
License: Apache-2.0
Latest release: 0.2.2
published over 1 year ago

Versions: 5
Dependent Packages: 2
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Downloads: 93 Last month

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@stdlib/stats-levene-test

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