Wilcoxon signed rank test statistic cumulative distribution function (CDF).
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> Wilcoxon signed rank test statistic [cumulative distribution function][cdf].
``bash`
npm install @stdlib/stats-base-dists-signrank-cdf
`javascript`
var cdf = require( '@stdlib/stats-base-dists-signrank-cdf' );
#### cdf( x, n )
Evaluates the [cumulative distribution function][cdf] of the Wilcoxon signed rank test statistic with n observations.
`javascript
var y = cdf( 7.0, 9 );
// returns ~0.037
y = cdf( 7.0, 6 );
// returns ~0.281
y = cdf( -1.0, 40 );
// returns 0.0
`
If provided NaN as any argument, the function returns NaN.
`javascript
var y = cdf( NaN, 8 );
// returns NaN
y = cdf( 0.0, NaN );
// returns NaN
`
If provided x < 0, the function returns NaN.
`javascript`
var y = cdf( 2.0, -1.0 );
// returns NaN
If not provided a positive integer for n, the function returns NaN.
`javascript
var y = cdf( 2.0, 0 );
// returns NaN
y = cdf( 2.0, -2 );
// returns NaN
y = cdf( 2.0, 8.9 );
// returns NaN
`
#### cdf.factory( n )
Returns a function for evaluating the [cumulative distribution function][cdf] of the Wilcoxon signed rank test statistic with n observations.
`javascript
var mycdf = cdf.factory( 8 );
var y = mycdf( 3.9 );
// returns ~0.027
y = mycdf( 17.0 );
// returns ~0.473
`
`javascript
var ceil = require( '@stdlib/math-base-special-ceil' );
var randu = require( '@stdlib/random-base-randu' );
var cdf = require( '@stdlib/stats-base-dists-signrank-cdf' );
var n;
var x;
var y;
var i;
for ( i = 0; i < 10; i++ ) {
x = randu() * 30.0;
n = ceil( randu() * 30.0 );
y = cdf( x, n );
console.log( 'x: %d, n: %d, F(x;n): %d', x.toFixed( 4 ), n.toFixed( 4 ), y.toFixed( 4 ) );
}
`
*
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].
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---
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[cdf]: https://en.wikipedia.org/wiki/Cumulative_distribution_function