CANONICAL CORRELATION-ANALYSIS WITH LINEAR CONSTRAINTS

被引:23
作者
YANAI, H [1 ]
TAKANE, Y [1 ]
机构
[1] MCGILL UNIV,DEPT PSYCHOL,MONTREAL H3A 2T5,QUEBEC,CANADA
关键词
D O I
10.1016/0024-3795(92)90211-R
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We develop canonical correlation analysis by imposing linear constraints upon parameters corresponding to two sets of variables. The results of our method, which we call CANOLC, are shown in terms of projection operators both orthogonal and oblique. Further, CALC (correspondence analysis with linear constraints) turns out to be a special case Of CANOLC.
引用
收藏
页码:75 / 89
页数:15
相关论文
共 13 条
[1]   CANONICAL CORRELATIONS ASSOCIATED WITH SYMMETRICAL REFLEXIVE GENERALIZED INVERSES OF THE DISPERSION MATRIX [J].
BAKSALARY, JK ;
PUNTANEN, S ;
YANAI, H .
LINEAR ALGEBRA AND ITS APPLICATIONS, 1992, 176 :61-74
[2]   CANONICAL-ANALYSIS OF CONTINGENCY-TABLES WITH LINEAR CONSTRAINTS [J].
BOCKENHOLT, U ;
BOCKENHOLT, I .
PSYCHOMETRIKA, 1990, 55 (04) :633-639
[3]  
GREENACRE MJ, 1984, THEORY APPLICATION C
[4]   NOTE ON MULTIPLE AND CANONICAL CORRELATION FOR A SINGULAR COVARIANCE-MATRIX [J].
KHATRI, CG .
PSYCHOMETRIKA, 1976, 41 (04) :465-470
[7]   GENERAL DEFINITION AND DECOMPOSITION OF PROJECTORS AND SOME APPLICATIONS TO STATISTICAL PROBLEMS [J].
RAO, CR ;
YANAI, H .
JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 1979, 3 (01) :1-17
[8]   PRINCIPAL COMPONENT ANALYSIS WITH EXTERNAL INFORMATION ON BOTH SUBJECTS AND VARIABLES [J].
TAKANE, Y ;
SHIBAYAMA, T .
PSYCHOMETRIKA, 1991, 56 (01) :97-120
[9]   RELATIONSHIPS AMONG SEVERAL METHODS OF LINEARLY CONSTRAINED CORRESPONDENCE-ANALYSIS [J].
TAKANE, Y ;
YANAI, H ;
MAYEKAWA, S .
PSYCHOMETRIKA, 1991, 56 (04) :667-684
[10]  
TERBRAAK CJF, 1986, ECOLOGY, V67, P1167