Robust Hotelling-Type T² Control Chart Based on the Dual STATIS Approach
Plot Classical Hotelling T2 Control Chart
Plot Classical Hotelling T2 Control Chart - Phase 2
Robust STATIS Dual - Phase 2 (New Batches Evaluation)
Launch STATIS Dual Robust Dashboard (Shiny)
Simulate Pharmaceutical Manufacturing Batches (Realistic Variability)
Classical Hotelling T2 Chart - Phase 1
Classical Hotelling T2 Chart - Phase 2
HJ-Biplot Projection - Robust STATIS Dual (Phase 2)
HJ-Biplot of Robust STATIS Dual Compromise (Galindo-Villardón)
Plot Control Chart - Robust STATIS Dual (Phase 1)
Plot STATIS Dual Robust Control Chart - Phase 2 Only
Robust STATIS Dual - Phase 1 (Under Control Batches)
Implements a robust multivariate control-chart methodology for batch-based industrial processes with multiple correlated variables using the Dual STATIS (Structuration des Tableaux A Trois Indices de la Statistique) framework. A robust compromise covariance matrix is constructed from Phase I batches with the Minimum Covariance Determinant (MCD) estimator, and a Hotelling-type T² statistic is applied for anomaly detection in Phase II. The package includes functions to simulate clean and contaminated batches, to compute both robust and classical Hotelling T² control charts, to visualize results via robust biplots, and to launch an interactive 'shiny' dashboard. An internal dataset (pharma_data) is provided for reproducibility. See Lavit, Escoufier, Sabatier and Traissac (1994) <doi:10.1016/0167-9473(94)90134-1> for the original STATIS methodology, and Rousseeuw and Van Driessen (1999) <doi:10.1080/00401706.1999.10485670> for the MCD estimator.
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