@stdlib/stats-binomial-test

Exact test for the success probability in a Bernoulli experiment.

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

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bernoulli binomial exact hypothesis javascript math mathematics node node-js nodejs probability statistics stats stdlib summary test
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Exact test for the success probability in a Bernoulli experiment.

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bernoulli binomial exact hypothesis javascript math mathematics node node-js nodejs probability statistics stats stdlib summary test
Created over 4 years ago · Last pushed 6 months ago
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README.md

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Binomial Test

NPM version Build Status Coverage Status <!-- dependencies -->

Exact test for the success probability in a Bernoulli experiment.

## Installation ```bash npm install @stdlib/stats-binomial-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 binomialTest = require( '@stdlib/stats-binomial-test' ); ``` #### binomialTest( x\[, n]\[, opts] ) When supplied nonnegative integers `x` (number of successes in a Bernoulli experiment) and `n` (total number of trials), the function computes an exact test for the success probability in a Bernoulli experiment. Alternatively, `x` may be a two-element array containing the number of successes and failures, respectively. ```javascript var out = binomialTest( 550, 1000 ); /* returns { 'rejected': true, 'pValue': ~0.001, 'statistic': 0.55, 'ci': [ ~0.519, ~0.581 ], // ... } */ out = binomialTest( [ 550, 450 ] ); /* returns { 'rejected': true, 'pValue': ~0.001, 'statistic': 0.55, 'ci': [ ~0.519, ~0.581 ], // ... } */ ``` The returned object comes with a `.print()` method which when invoked will print a formatted output of the results of the hypothesis test. `print` accepts a `digits` option that controls the number of decimal digits displayed for the outputs and a `decision` option, which when set to `false` will hide the test decision. ```javascript console.log( out.print() ); /* e.g., => Exact binomial test Alternative hypothesis: True correlation coefficient is not equal to 0.5 pValue: 0.0017 statistic: 0.55 95% confidence interval: [0.5186,0.5811] Test Decision: Reject null in favor of alternative at 5% significance level */ ``` The function accepts the following `options`: - **alpha**: `number` in the interval `[0,1]` giving the significance level of the hypothesis test. Default: `0.05`. - **alternative**: Either `two-sided`, `less` or `greater`. Indicates whether the alternative hypothesis is that the true ratio of variances is greater than one (`greater`), smaller than one (`less`), or that the variances are the same (`two-sided`). Default: `two-sided`. - **p**: success `probability` under the null hypothesis. Default: `0.5`. By default, the hypothesis test is carried out at a significance level of `0.05`. To choose a different significance level, set the `alpha` option. ```javascript var out = binomialTest( 59, 100, { 'alpha': 0.1 }); /* returns { 'rejected': true, 'pValue': ~0.089, 'statistic': 0.59, 'ci': [ ~0.487, ~0.687 ], // ... } */ ``` By default, a two-sided test is performed. To perform either of the one-sided tests, set the `alternative` option to `less` or `greater`. ```javascript out = binomialTest( 550, 1000, { 'alternative': 'greater' }); table = out.print(); /** e.g., returns Exact binomial test Alternative hypothesis: True correlation coefficient is greater than 0.5 pValue: 0.0009 statistic: 0.55 95% confidence interval: [0.5235,1] Test Decision: Reject null in favor of alternative at 5% significance level */ out = binomialTest( 550, 1000, { 'alternative': 'less' }); table = out.print(); /* e.g., returns Exact binomial test Alternative hypothesis: True correlation coefficient is less than 0.5 pValue: 0.9993 statistic: 0.55 95% confidence interval: [0,0.5762] Test Decision: Fail to reject null in favor of alternative at 5% significance level */ ``` To test whether the success probability in the population is equal to some other value than `0.5`, set the `p` option. ```javascript var out = binomialTest( 23, 100, { 'p': 0.2 }); /* returns { 'rejected': false, 'pValue': ~0.453, 'statistic': 0.23, 'ci': [ ~0.152, ~0.325 ], // ... } */ var table = out.print(); /* e.g., returns Exact binomial test Alternative hypothesis: True correlation coefficient is not equal to 0.2 pValue: 0.4534 statistic: 0.23 95% confidence interval: [0.1517,0.3249] Test Decision: Fail to reject null in favor of alternative at 5% significance level */ ```
## Examples ```javascript var binomialTest = require( '@stdlib/stats-binomial-test' ); var out = binomialTest( 682, 925 ); /* returns { 'rejected': true, 'pValue': ~3.544e-49, 'statistic': 0.737, 'ci': [ ~0.708, ~0.765 ], // ... } */ out = binomialTest( [ 682, 925 - 682 ] ); /* returns { 'rejected': true, 'pValue': ~3.544e-49, 'statistic': 0.737, 'ci': [ ~0.708, ~0.765 ], // ... } */ out = binomialTest( 682, 925, { 'p': 0.75, 'alpha': 0.05 }); /* returns { 'rejected': false, 'pValue': ~0.382 'statistic': 0.737, 'ci': [ ~0.708, ~0.765 ], // ... } */ out = binomialTest( 21, 40, { 'p': 0.4, 'alternative': 'greater' }); /* returns { 'rejected': false, 'pValue': ~0.382, 'statistic': 0.737, 'ci': [ ~0.385, 1.0 ], // ... } */ ```
* * * ## 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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cff-version: 1.2.0
title: stdlib
message: >-
  If you use this software, please cite it using the
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authors:
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    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:
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  - 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-binomial-test

Exact test for the success probability in a Bernoulli experiment.

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