Statistics

Basic and advanced statistical analysis for data series via SciMathJS.

Usage

import { SciMathJS } from '@velo-sci/sci-math-wasm';

const data = new Float64Array([1, 2, 3, 4, 100]);
const avg = SciMathJS.mean(data);
const std = SciMathJS.standardDeviation(data);

API Reference

mean

Calculates the arithmetic average.

Formula:

$\mu = \frac{1}{n} \sum_{i=1}^n x_i$

Signature:

function mean(data: Float64Array | number[]): number

---

variance

Calculates the sample variance ($n-1$ denominator).

Formula:

$s^2 = \frac{1}{n-1} \sum_{i=1}^n (x_i - \mu)^2$

Signature:

function variance(data: Float64Array | number[]): number

---

standardDeviation

Calculates the standard deviation (square root of variance).

Signature:

function standardDeviation(data: Float64Array | number[]): number

---

median

Calculates the median (50th percentile). High-performance implementation using partial sorting (quickselect) in WASM.

Signature: function median(data: Float64Array | number[]): number

---

### `mode`
Calculates the mode (most frequent value) of the dataset.

**Signature:**
```typescript
function mode(data: Float64Array | number[]): number

---

skewness

Calculates the skewness, a measure of the asymmetry of the probability distribution of a real-valued random variable.

Signature:

function skewness(data: Float64Array | number[]): number

---

kurtosis

Calculates the kurtosis, a measure of the "tailedness" of the probability distribution.

Signature:

function kurtosis(data: Float64Array | number[]): number