Introduction to Introduction to Sensory Data Analysis - Camo

5. PLS regression / a) Theory
PLS terminology
Scores: (X‐scores: T, Y‐scores: : T (or U)) Map of samples. Projected dlocations
of objects onto the model components.
Loadings: (X‐loadings:( P, Y‐loadings: Q) Map of variables. Describes
relationships between either X or Y variables.
Loading weights: (X‐loading weights: W) Describes relationships between X
and Y variables. ibl
Residuals: (X‐residuals: E, y‐residuals: F) Error.
Variance: Mean squares of residuals / degrees of freedom = residual variance
Model equations:
X = TP T + E and Y = TQ T + F
Regression coefficients: i Y = B 0 + X 1 *B 1 + X 2 *B 2 + ... + X N *B N