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data-mad.js.html
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<h1 class="page-title">data-mad.js</h1>
<section>
<article>
<pre class="prettyprint source linenums"><code>// wink-statistics
// Fast and Numerically Stable Statistical Analysis Utilities.
//
// Copyright (C) 2017-18 GRAYPE Systems Private Limited
//
// This file is part of “wink-statistics”.
//
// Permission is hereby granted, free of charge, to any person obtaining a
// copy of this software and associated documentation files (the "Software"),
// to deal in the Software without restriction, including without limitation
// the rights to use, copy, modify, merge, publish, distribute, sublicense,
// and/or sell copies of the Software, and to permit persons to whom the
// Software is furnished to do so, subject to the following conditions:
//
// The above copyright notice and this permission notice shall be included
// in all copies or substantial portions of the Software.
//
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
// OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
// THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
// FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
// DEALINGS IN THE SOFTWARE.
// ## data
// Load percentile.
var percentile = require( './data-percentile.js' );
// Load accessor.
var value = require( './accessor.js' );
// Load wink helpers for sort helpers.
var helpers = require( 'wink-helpers' );
// ### mad
/**
*
* Returns the median of the `sortedData`.
*
* @memberof data
* @param {array} sortedData sorted in ascending order of value.
* @param {(string|number|function)} [accessor=undefined] required when elements of
* `x` are objects or arrays instead of numbers.
* For objects, use key (string) to access the value; in case of arrays, use
* index (number) to access the value; or it could be a function
* that extracts the value from the element passed to it.
* @returns {number} median of the `sortedData`.
* @example
* mad( [ 1, 1, 2, 2, 3, 3, 4, 4 ] );
* // returns 1
*/
var mad = function ( sortedData, accessor ) {
var median = percentile( sortedData, 0.5, accessor );
// Absolute Difference From Median.
var adfm = new Array( sortedData.length );
var di;
for ( var i = 0, imax = sortedData.length; i < imax; i += 1 ) {
di = value( sortedData[ i ], accessor );
adfm[ i ] = Math.abs( di - median );
}
adfm.sort( helpers.array.ascending );
// Compute mad from the median of adfm now and return the same. Note, no accessor
// is required for `adfm`.
return ( percentile( adfm, 0.50 ) );
}; // mad()
module.exports = mad;
</code></pre>
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