Analyx SDK

Statistical computing and PLS-SEM (Partial Least Squares Structural Equation Modeling) for TypeScript/JavaScript.

Packages

@analyx-sdk/math

Numerical computing library with:

• Descriptive statistics: mean, variance, standard deviation (Welford online algorithm)
• Correlation: Pearson, Spearman, polychoric
• Linear algebra: QR decomposition, matrix operations, solving linear systems
• Distributions: Normal, Student's t, F, Chi-square, Beta, Gamma (log-gamma via Lanczos)
• Quantiles: Percentile, normal quantile (Abramowitz & Stegun), inverse distributions
• Regression: OLS with QR, ridge regression
• Resampling: Bootstrap indices (Lemire's rejection-free), xoshiro128** RNG

@analyx-sdk/pls-sem

PLS-SEM implementation with:

• Measurement models: Mode A (reflective), Mode B (formative)
• Inner weighting schemes: Centroid, Factor, Path
• Structural model: Path coefficients, R², f² (Cohen), VIF
• Reliability: Cronbach's α, Composite Reliability, Dijkstra-Henseler ρ_A, AVE
• Validity: Fornell-Larcker, HTMT (Henseler et al. 2015)
• Inference: Non-parametric bootstrap with percentile/BCa CIs, sign correction
• Sign correction: Procrustes rotation for bootstrap samples

Installation

pnpm add @analyx-sdk/math @analyx-sdk/pls-sem

Quick Start

import { estimate, assess } from '@analyx-sdk/pls-sem';
import { createDataset } from '@analyx-sdk/pls-sem/model';

const model = {
  constructs: [
    { name: 'A', indicators: ['a1', 'a2', 'a3'], mode: 'A' },
    { name: 'B', indicators: ['b1', 'b2', 'b3'], mode: 'A' }
  ],
  paths: [{ from: 'A', to: 'B' }],
  scheme: 'path'
};

const data = createDataset(['a1', 'a2', 'a3', 'b1', 'b2', 'b3'], [
  [1, 2, 3, 4, 5, 6],
  [2, 3, 4, 5, 6, 7],
  // ... more rows
]);

const result = estimate(model, data);
const full = assess(model, data, { bootstrap: { samples: 5000 } });

console.log(full.structuralModel.pathCoefficients);
console.log(full.bootstrapResult.paths.get('A->B')?.pValue);

Development

# Install dependencies
pnpm install

# Run tests
pnpm test

# Lint
pnpm lint

# Build
pnpm build

License

Apache-2.0