Oh, sorry, two versions of edited text are mixed. :-( Delete this: ------------------------------------------ > > With Ax the factor-loadingsmatrix of the Varimax-solution for X, > FSC the factor-scores and X and Y the data (horizontal vectors for each variable) > > Ax * FSC = X > so > FSC = Ax^-1 * X > ===========================================
My intended remaining postings starts here : ------------------------------------------ > > > Maybe I don't understand your question right. > But for the case I do, it's just a matrix equation. > > [ fs1-scores........... > [ fs2-scores......... FSC = Matrix of factor-scores > [ fs3-scores......... > [ fs4-scores.......... > ------------------------------------------------------------------------ > [L11 L12 L13 L14] ![ x1-data ................ > [L21 L22 L23 L24] ![ x2-data ................ > [L31 L32 L33 L34] ![ x3-data ................ X > [L41 L42 L43 L44] ![ x4-data ................ > > [L51 L52 L53 L54] ![ y -data ................ Y > > L = loadingsmatrix, where L1_4 (the submatrix of L from row 1 to 4) > is in varimax-position, L5 is the submatrix L from row 5 to 5, only a > single row). [X,Y] the combined matrix of X and Y-scores. > > Then > FSC = inv( L1_4) * X > And > [X,Y] = [L1_4 , L5] * FSC > So > > [X,Y] = [L1_4 , L5] * inv(L1_4) * X > > and the B1_4 part of > > B1_4 = L1_4 * inv(A1_4) > > is a identity-matrix and the B5-part (the loadings of Y on the variables) > > B5 = L5 * inv(A1_4) > > contains the beta weights (are in terms of X) > > Y = B5 * X > > Gottfried Helms =================================================== Pls excuse any inconvenience. Gottfried Helms . . ================================================================= Instructions for joining and leaving this list, remarks about the problem of INAPPROPRIATE MESSAGES, and archives are available at: . http://jse.stat.ncsu.edu/ . =================================================================
