# incrmse > Compute the [mean squared error][mean-squared-error] (MSE) incrementally.
The [mean squared error][mean-squared-error] is defined as
Equation for the mean squared error.
## Usage ```javascript var incrmse = require( '@stdlib/stats/incr/mse' ); ``` #### incrmse() Returns an accumulator `function` which incrementally computes the [mean squared error][mean-squared-error]. ```javascript var accumulator = incrmse(); ``` #### accumulator( \[x, y] ) If provided input values `x` and `y`, the accumulator function returns an updated [mean squared error][mean-squared-error]. If not provided input values `x` and `y`, the accumulator function returns the current [mean squared error][mean-squared-error]. ```javascript var accumulator = incrmse(); var m = accumulator( 2.0, 3.0 ); // returns 1.0 m = accumulator( -1.0, -4.0 ); // returns 5.0 m = accumulator( -3.0, 5.0 ); // returns ~24.67 m = accumulator(); // returns ~24.67 ```
## 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.
## Examples ```javascript var randu = require( '@stdlib/random/base/randu' ); var incrmse = require( '@stdlib/stats/incr/mse' ); var accumulator; var v1; var v2; var i; // Initialize an accumulator: accumulator = incrmse(); // For each simulated datum, update the mean squared error... for ( i = 0; i < 100; i++ ) { v1 = ( randu()*100.0 ) - 50.0; v2 = ( randu()*100.0 ) - 50.0; accumulator( v1, v2 ); } console.log( accumulator() ); ```