Underlying Model
The general underlying model of multivariate PLS is
where is an matrix of predictors, is an matrix of responses; and are matrices that are, respectively, projections of X (the X score, component or factor matrix) and projections of Y (the Y scores); and are, respectively, and orthogonal loading matrices; and matrices and are the error terms, assumed to be i.i.d. normal. The decompositions of X and Y are made so as to maximise the covariance of T and U.
Read more about this topic: Partial Least Squares Regression
Famous quotes containing the words underlying and/or model:
“Every age develops its own peculiar forms of pathology, which express in exaggerated form its underlying character structure.”
—Christopher Lasch (b. 1932)
“...that absolutely everything beloved and cherished of the bourgeoisie, the conservative, the cowardly, and the impotent—the State, family life, secular art and science—was consciously or unconsciously hostile to the religious idea, to the Church, whose innate tendency and permanent aim was the dissolution of all existing worldly orders, and the reconstitution of society after the model of the ideal, the communistic City of God.”
—Thomas Mann (1875–1955)