I found this statement in one paper about statistical process control and monitoring:
The P loading matrices contain all the structural information about how the variable measurements should deviate from their mean values at each observation
Why is this true?
Edit: Some reference for better understanding of the context of the question:
Monitoring Batch Processes Using Multiway Principal Component Analysis - Nomikos & McGregor (the paper from which the cite came. pp 8)
Statistical process control of multivariate processes - McGregor & Kourti