brede_mat_ibfa

(export/brede/brede_mat_ibfa.m)

Function Synopsis

[W1,S,W2] = brede_mat_ibfa(X, Y, varargin)

Help text

 brede_mat_ibfa        - Interbattery analysis

       [W1,S,W2] = brede_mat_ibfa(X, Y)
 
       Input:    X   'Mat' structure
                 Y   'Mat' structure
 
       Output:   W1  Left 'canonical' vectors
                 S   'Canonical' coefficients
                 W2  Right 'canonical' vectors

       Tucker's Interbattery factor analysis. 

       The results W1 and W2 are the characteristic vectors of R12'*R12
       and R12*R12'. This is the same as the singular vector of the R12
       correlation coefficient matrix between X and Y. S contains the
       square root of the characteristic roots, i.e., the singular values.

       One column in W1 and one row in W2 is one factor.

       Ref: Tucker, 1958, Psychometrika 23(2):111+

       Example:
         % Data from Mardia 1979
         load(fullfile(fileparts(which('brede')), 'data', 'FretsG1921Heredity.txt'))
         X = FretsG1921Heredity(:,1:2);
         Y = FretsG1921Heredity(:,3:4);
         [W1,S,W2] = brede_mat_ibfa(X,Y);
         diag(S.matrix)  

         % Text mining example
         Mvoxel = brede_bib_bib2mat(B, 'type', 'Exp.Loc.coord');
         Mterm0 = brede_bib_bib2mat(B, 'type', 'abstract');
         M = brede_mat_elimsingle(Mterm0);
         M = brede_mat_elimstop(M, 'filename', 'stop_english1.txt');
         M = brede_mat_elimstop(M, 'filename', 'stop_medline.txt');
         M = brede_mat_elimstop(M, 'filename', 'stop_meshcommon.txt');
         M = brede_mat_elimstop(M, 'filename', 'stop_pubmed_neg1.txt');
         Mterm = brede_mat_scale(M, 'type', 'sqrt');
         [W1,S,W2] = brede_mat_ibfa(Mvoxel, Mterm)
         brede_mat_2mat2html(W1, W2, 'filename', 'ibfa.html');

       See also BREDE, BREDE_MAT, BREDE_MAT_CCA, BREDE_MAT_KMC,
                BREDE_MAT_ORTHOSPACE, BREDE_MAT_SVD, BREDE_MAT_NMF.  

 $Id: brede_mat_ibfa.m,v 1.2 2007/11/09 00:15:19 fn Exp $

Cross-Reference Information

brede_mat_corrcoefexport/brede/brede_mat_corrcoef.m
brede_mat_mat2matexport/brede/brede_mat_mat2mat.m
brede_mat_svd  export/brede/brede_mat_svd.m
brede_mat_transposeexport/brede/brede_mat_transpose.m

brede_ui_mat_partcorrcoefexport/brede/brede_ui_mat_partcorrcoef.m