Quantile Function

Wilcoxon signed rank test statistic quantile function.

Usage

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

quantile( p, n )

Evaluates the quantile function for the Wilcoxon signed rank test statistic with n observations.

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.

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.

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.

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 of the Wilcoxon signed rank test statistic with n observations.

var myQuantile = quantile.factory( 8 );

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

y = myQuantile( 1.0 );
// returns 36

Examples

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 ) );
}