npm package: @stdlib/stats-base-dists-signrank-quantile
Description: Wilcoxon signed rank test statistic quantile function.
Author: The Stdlib Authors
Latest version: 0.2.3

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<details>
  <summary>
    About stdlib...
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# Quantile Function

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

> Wilcoxon signed rank test statistic [quantile function][quantile-function].

<section class="intro">

</section>

<!-- /.intro -->

<section class="installation">

## Installation

```bash
npm install @stdlib/stats-base-dists-signrank-quantile
```

</section>

<section class="usage">

## Usage

```javascript
var quantile = require( '@stdlib/stats-base-dists-signrank-quantile' );
```

#### quantile( p, n )

Evaluates the [quantile function][quantile-function] for the Wilcoxon signed rank test statistic with `n` observations.

```javascript
var y = quantile( 0.8, 5 );
// returns 11

y = quantile( 0.5, 3 );
// returns 3
```

If provided a probability `p` outside the interval `[0,1]`, the function returns `NaN`.

```javascript
var y = quantile( 1.9, 5 );
// returns NaN

y = quantile( -0.1, 5 );
// returns NaN
```

If provided `NaN` as any argument, the function returns `NaN`.

```javascript
var y = quantile( NaN, 5 );
// returns NaN

y = quantile( 0.0, NaN);
// returns NaN
```

If not provided a positive integer for `n`, the function returns `NaN`.

```javascript
var y = quantile( 0.4, -1.0 );
// returns NaN

y = quantile( 0.4, 3.7 );
// returns NaN
```

#### quantile.factory( n )

Returns a function for evaluating the [quantile function][quantile-function] of the Wilcoxon signed rank test statistic with `n` observations.

```javascript
var myQuantile = quantile.factory( 8 );

var y = myQuantile( 0.4 );
// returns 16

y = myQuantile( 1.0 );
// returns 36
```

</section>

<!-- /.usage -->

<section class="examples">

## Examples

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

```javascript
var randint = require( '@stdlib/random-base-discrete-uniform' );
var randu = require( '@stdlib/random-base-randu' );
var quantile = require( '@stdlib/stats-base-dists-signrank-quantile' );

var n;
var p;
var y;
var i;

for ( i = 0; i < 10; i++ ) {
    p = randu();
    n = randint( 1, 20 );
    y = quantile( p, n );
    console.log( 'p: %d, n: %d, Q(p;n): %d', p.toFixed( 4 ), n, y.toFixed( 4 ) );
}
```

</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

[![Chat][chat-image]][chat-url]

---

## License

See [LICENSE][stdlib-license].


## Copyright

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

</section>

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[test-url]: https://github.com/stdlib-js/stats-base-dists-signrank-quantile/actions/workflows/test.yml?query=branch:v0.2.3

[coverage-image]: https://img.shields.io/codecov/c/github/stdlib-js/stats-base-dists-signrank-quantile/main.svg
[coverage-url]: https://codecov.io/github/stdlib-js/stats-base-dists-signrank-quantile?branch=main

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[stdlib]: https://github.com/stdlib-js/stdlib

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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-signrank-quantile/tree/deno
[deno-readme]: https://github.com/stdlib-js/stats-base-dists-signrank-quantile/blob/deno/README.md
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[esm-url]: https://github.com/stdlib-js/stats-base-dists-signrank-quantile/tree/esm
[esm-readme]: https://github.com/stdlib-js/stats-base-dists-signrank-quantile/blob/esm/README.md
[branches-url]: https://github.com/stdlib-js/stats-base-dists-signrank-quantile/blob/main/branches.md

[stdlib-license]: https://raw.githubusercontent.com/stdlib-js/stats-base-dists-signrank-quantile/main/LICENSE

[quantile-function]: https://en.wikipedia.org/wiki/Quantile_function

</section>

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