Need Pray More

npm

@stdlib/stats-incr-pcorr2

0.0.7 • Public • Published

incrpcorr2

Compute a squared sample Pearson product-moment correlation coefficient incrementally.

The Pearson product-moment correlation coefficient between random variables `X` and `Y` is defined as

where the numerator is the covariance and the denominator is the product of the respective standard deviations.

For a sample of size `n`, the sample Pearson product-moment correlation coefficient is defined as

The squared sample Pearson product-moment correlation coefficient is thus defined as the square of the sample Pearson product-moment correlation coefficient.

Installation

`npm install @stdlib/stats-incr-pcorr2`

Usage

`var incrpcorr2 = require( '@stdlib/stats-incr-pcorr2' );`

incrpcorr2( [mx, my] )

Returns an accumulator `function` which incrementally computes a squared sample Pearson product-moment correlation coefficient.

`var accumulator = incrpcorr2();`

If the means are already known, provide `mx` and `my` arguments.

`var accumulator = incrpcorr2( 3.0, -5.5 );`

accumulator( [x, y] )

If provided input value `x` and `y`, the accumulator function returns an updated accumulated value. If not provided input values `x` and `y`, the accumulator function returns the current accumulated value.

```var accumulator = incrpcorr2();

var r2 = accumulator( 2.0, 1.0 );
// returns 0.0

r2 = accumulator( 1.0, -5.0 );
// returns 1.0

r2 = accumulator( 3.0, 3.14 );
// returns ~0.93

r2 = accumulator();
// returns ~0.93```

Notes

• Input values are not type checked. If provided `NaN` or a value which, when used in computations, results in `NaN`, the accumulated value is `NaN` for all future invocations. If non-numeric inputs are possible, you are advised to type check and handle accordingly before passing the value to the accumulator function.
• In comparison to the sample Pearson product-moment correlation coefficient, the squared sample Pearson product-moment correlation coefficient is useful for emphasizing strong correlations.

Examples

```var randu = require( '@stdlib/random-base-randu' );
var incrpcorr2 = require( '@stdlib/stats-incr-pcorr2' );

var accumulator;
var x;
var y;
var i;

// Initialize an accumulator:
accumulator = incrpcorr2();

// For each simulated datum, update the squared sample correlation coefficient...
for ( i = 0; i < 100; i++ ) {
x = randu() * 100.0;
y = randu() * 100.0;
accumulator( x, y );
}
console.log( accumulator() );```

Notice

This package is part of 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, see the main project repository.

Install

`npm i @stdlib/stats-incr-pcorr2`

stdlib.io

32

0.0.7

Apache-2.0

64.4 kB

11