nanhmean

Computes the harmonic mean of an array of values ignoring any values which are not numeric.

Installation

$ npm install compute-nanhmean

For use in the browser, use browserify.

Usage

To use the module,

var nanhmean = require( 'compute-nanhmean' );

nanhmean( arr )

Computes the harmonic mean ignoring non-numeric values.

var data = [ 1, 5, NaN, 3, 4, NaN, 16 ];

var mu = nanhmean( data );
// returns ~2.7088

Note: only calculate the harmonic mean for positive, real numbers.

If an array contains negative numbers, the harmonic mean is nonsensical. For example, consider x = [ 3, -3, 4 ]. The harmonic mean of x is 12, while the arithmetic mean is 1.33333.... The harmonic mean should never be greater than the arithmetic mean.

Similarly, if an array contains zero values, the harmonic mean is also zero: 1/0 --> infinity and 1/infinity --> 0. For example, consider x = [ 0, 100, 1000, 10000 ]. Using the textbook definition of the harmonic mean, the mean would be 0, which, given x, does not make sense.

If an array contains elements less than or equal to 0, the function returns NaN.

Examples

var nanhmean = require( 'compute-nanhmean' );

var data = new Array( 1000 );

for ( var i = 0; i < data.length; i++ ) {
	if ( i%5 === 0 ) {
		data[ i ] = NaN;
	} else {
		data[ i ] = Math.random() * 100;
	}
}

console.log( nanhmean( data ) );

To run the example code from the top-level application directory,

$ node ./examples/index.js

Notes

The harmonic mean of an array containing non-numeric values is equal to the harmonic mean of an equivalent array which contains only the numeric values. Hence,

var d1 = [ 1, NaN, 2, 3, NaN ],
    d2 = [ 1, 2, 3 ];

console.log( nanhmean( d1 ) === nanhmean( d2 ) );
// returns true

Tests

Unit

Unit tests use the Mocha test framework with Chai assertions. To run the tests, execute the following command in the top-level application directory:

$ make test

All new feature development should have corresponding unit tests to validate correct functionality.

Test Coverage

This repository uses Istanbul as its code coverage tool. To generate a test coverage report, execute the following command in the top-level application directory:

$ make test-cov

Istanbul creates a ./reports/coverage directory. To access an HTML version of the report,

$ make view-cov

License

MIT license.

Copyright

Copyright © 2014. Athan Reines.