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CHANGELOG.md

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<section class="release" id="unreleased">
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## Unreleased (2025-07-01)
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## Unreleased (2025-07-05)
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<section class="features">
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### Features
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- [`15a7438`](https://github.com/stdlib-js/stdlib/commit/15a74381527a3202ba42c9e2aaa6e49e509f3efb) - refactor and add protocol support to `stats/base/stdevtk` [(#7566)](https://github.com/stdlib-js/stdlib/pull/7566)
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</section>
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<!-- /.features -->
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<section class="commits">
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### Commits
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<details>
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- [`15a7438`](https://github.com/stdlib-js/stdlib/commit/15a74381527a3202ba42c9e2aaa6e49e509f3efb) - **feat:** refactor and add protocol support to `stats/base/stdevtk` [(#7566)](https://github.com/stdlib-js/stdlib/pull/7566) _(by Gururaj Gurram)_
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- [`f51215e`](https://github.com/stdlib-js/stdlib/commit/f51215e31f91fa5843f641deb8bf875ffa313596) - **refactor:** update paths _(by Gururaj Gurram)_
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- [`c1fafe5`](https://github.com/stdlib-js/stdlib/commit/c1fafe52737f51ca58d6d86ec43fda081bf755e4) - **refactor:** update paths _(by Aayush Khanna)_
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- [`2515c03`](https://github.com/stdlib-js/stdlib/commit/2515c03c11d75901db325c3d2d417fba4073110a) - **refactor:** update paths _(by Aayush Khanna)_

README.md

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var stdevtk = require( '@stdlib/stats-base-stdevtk' );
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```
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#### stdevtk( N, correction, x, stride )
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#### stdevtk( N, correction, x, strideX )
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Computes the [standard deviation][standard-deviation] of a strided array `x` using a one-pass textbook algorithm.
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Computes the [standard deviation][standard-deviation] of a strided array using a one-pass textbook algorithm.
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```javascript
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var x = [ 1.0, -2.0, 2.0 ];
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- **N**: number of indexed elements.
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- **correction**: degrees of freedom adjustment. Setting this parameter to a value other than `0` has the effect of adjusting the divisor during the calculation of the [standard deviation][standard-deviation] according to `N-c` where `c` corresponds to the provided degrees of freedom adjustment. When computing the [standard deviation][standard-deviation] of a population, setting this parameter to `0` is the standard choice (i.e., the provided array contains data constituting an entire population). When computing the corrected sample [standard deviation][standard-deviation], setting this parameter to `1` is the standard choice (i.e., the provided array contains data sampled from a larger population; this is commonly referred to as Bessel's correction).
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- **x**: input [`Array`][mdn-array] or [`typed array`][mdn-typed-array].
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- **stride**: index increment for `x`.
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- **strideX**: stride length for `x`.
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The `N` and `stride` parameters determine which elements in `x` are accessed at runtime. For example, to compute the [standard deviation][standard-deviation] of every other element in `x`,
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The `N` and stride parameters determine which elements in the strided array are accessed at runtime. For example, to compute the [standard deviation][standard-deviation] of every other element in `x`,
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```javascript
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var floor = require( '@stdlib/math-base-special-floor' );
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var x = [ 1.0, 2.0, 2.0, -7.0, -2.0, 3.0, 4.0, 2.0 ];
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var N = floor( x.length / 2 );
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var v = stdevtk( N, 1, x, 2 );
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var v = stdevtk( 4, 1, x, 2 );
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// returns 2.5
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```
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```javascript
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var Float64Array = require( '@stdlib/array-float64' );
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var floor = require( '@stdlib/math-base-special-floor' );
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var x0 = new Float64Array( [ 2.0, 1.0, 2.0, -2.0, -2.0, 2.0, 3.0, 4.0 ] );
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var x1 = new Float64Array( x0.buffer, x0.BYTES_PER_ELEMENT*1 ); // start at 2nd element
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var N = floor( x0.length / 2 );
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var v = stdevtk( N, 1, x1, 2 );
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var v = stdevtk( 4, 1, x1, 2 );
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// returns 2.5
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```
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#### stdevtk.ndarray( N, correction, x, stride, offset )
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#### stdevtk.ndarray( N, correction, x, strideX, offsetX )
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Computes the [standard deviation][standard-deviation] of a strided array using a one-pass textbook algorithm and alternative indexing semantics.
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The function has the following additional parameters:
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- **offset**: starting index for `x`.
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- **offsetX**: starting index for `x`.
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While [`typed array`][mdn-typed-array] views mandate a view offset based on the underlying `buffer`, the `offset` parameter supports indexing semantics based on a starting index. For example, to calculate the [standard deviation][standard-deviation] for every other value in `x` starting from the second value
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While [`typed array`][mdn-typed-array] views mandate a view offset based on the underlying buffer, the offset parameter supports indexing semantics based on a starting index. For example, to calculate the [standard deviation][standard-deviation] for every other element in `x` starting from the second element
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```javascript
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var floor = require( '@stdlib/math-base-special-floor' );
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var x = [ 2.0, 1.0, 2.0, -2.0, -2.0, 2.0, 3.0, 4.0 ];
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var N = floor( x.length / 2 );
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var v = stdevtk.ndarray( N, 1, x, 2, 1 );
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var v = stdevtk.ndarray( 4, 1, x, 2, 1 );
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// returns 2.5
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```
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- If `N <= 0`, both functions return `NaN`.
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- If `N - c` is less than or equal to `0` (where `c` corresponds to the provided degrees of freedom adjustment), both functions return `NaN`.
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- Both functions support array-like objects having getter and setter accessors for array element access (e.g., [`@stdlib/array-base/accessor`][@stdlib/array/base/accessor]).
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- Some caution should be exercised when using the one-pass textbook algorithm. Literature overwhelmingly discourages the algorithm's use for two reasons: 1) the lack of safeguards against underflow and overflow and 2) the risk of catastrophic cancellation when subtracting the two sums if the sums are large and the variance small. These concerns have merit; however, the one-pass textbook algorithm should not be dismissed outright. For data distributions with a moderately large standard deviation to mean ratio (i.e., **coefficient of variation**), the one-pass textbook algorithm may be acceptable, especially when performance is paramount and some precision loss is acceptable (including a risk of computing a negative variance due to floating-point rounding errors!). In short, no single "best" algorithm for computing the standard deviation exists. The "best" algorithm depends on the underlying data distribution, your performance requirements, and your minimum precision requirements. When evaluating which algorithm to use, consider the relative pros and cons, and choose the algorithm which best serves your needs.
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- Depending on the environment, the typed versions ([`dstdevtk`][@stdlib/stats/strided/dstdevtk], [`sstdevtk`][@stdlib/stats/strided/sstdevtk], etc.) are likely to be significantly more performant.
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<!-- eslint no-undef: "error" -->
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```javascript
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var randu = require( '@stdlib/random-base-randu' );
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var round = require( '@stdlib/math-base-special-round' );
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var Float64Array = require( '@stdlib/array-float64' );
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var discreteUniform = require( '@stdlib/random-array-discrete-uniform' );
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var stdevtk = require( '@stdlib/stats-base-stdevtk' );
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var x;
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var i;
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x = new Float64Array( 10 );
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for ( i = 0; i < x.length; i++ ) {
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x[ i ] = round( (randu()*100.0) - 50.0 );
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}
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var x = discreteUniform( 10, -50, 50, {
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'dtype': 'float64'
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});
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console.log( x );
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var v = stdevtk( x.length, 1, x, 1 );
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[mdn-typed-array]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/TypedArray
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[@stdlib/array/base/accessor]: https://github.com/stdlib-js/array-base-accessor
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[@ling:1974a]: https://doi.org/10.2307/2286154
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<!-- <related-links> -->

benchmark/benchmark.js

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// MODULES //
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var bench = require( '@stdlib/bench-harness' );
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var randu = require( '@stdlib/random-base-randu' );
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var uniform = require( '@stdlib/random-array-uniform' );
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var isnan = require( '@stdlib/math-base-assert-is-nan' );
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var pow = require( '@stdlib/math-base-special-pow' );
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var pkg = require( './../package.json' ).name;
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var stdevtk = require( './../lib/stdevtk.js' );
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// VARIABLES //
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var options = {
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};
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benchmark/benchmark.ndarray.js

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// MODULES //
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dist/index.js

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