Principal Component Analysis (PCA)

Resource Overview

Principal Component Analysis (PCA) is a statistical analysis method that transforms multiple indicators into a few comprehensive indicators. This source code provides MATLAB implementation with detailed analytical annotations, including algorithm explanations and key function descriptions for data dimensionality reduction.

Detailed Documentation

This text provides a detailed introduction to the concept and applications of Principal Component Analysis (PCA). PCA is a statistical analysis method that transforms multiple variables into a smaller set of composite indicators called principal components. These principal components effectively capture the most significant information from the original dataset, facilitating more efficient data analysis. The MATLAB implementation includes key functions like pca() for covariance matrix computation and eigenvalue decomposition, with algorithms for calculating component loadings and variance explanations. PCA is commonly applied in data dimensionality reduction, variable selection, and data visualization. The provided source code contains comprehensive analytical annotations that explain the mathematical foundations and implementation steps, helping users better understand and utilize this method for multivariate data processing.