robustT2: Robust Hotelling-Type T2 Control Chart Based on STATIS Dual

Overview

robustT2 is an R package designed for robust multivariate statistical process control.
It implements methods based on the STATIS Dual approach to monitor batch-based industrial processes involving multiple correlated quality variables.

The package provides: - Construction of a robust compromise covariance matrix using Minimum Covariance Determinant (MCD) estimators.
- Robust Hotelling-type T² statistics for anomaly detection.
- Phase II monitoring using standardized Mahalanobis distances projected onto the compromise structure.
- Visualization tools through robust biplots (GH-Biplot and HJ-Biplot) and an interactive Shiny dashboard.

An internal dataset (datos_farma) is included for reproducibility and demonstration.

Installation

You can install the development version directly from GitHub:

``r

install.packages(“devtools”)

devtools::install_github(“SergioDanielFG/robustT2”)

Authors

Sergio Daniel Frutos Galarza PhD Candidate in Multivariate Statistics University of Salamanca (USAL)

Contributors

Omar Ruiz Barzola

Dr. Purificación Galindo Villardón

License

MIT © 2025 Sergio Daniel Frutos Galarza