SOME NOTES ON THE DIAGONALIZATION OF THE EXTENDED 3-MODE CORE MATRIX

被引:5
作者
BROUWER, P [1 ]
KROONENBERG, PM [1 ]
机构
[1] LEIDEN UNIV,DEPT EDUC,VAKGROEP ALGEMENE PEDAGOGIEK,POB 9555,2300 RB LEIDEN,NETHERLANDS
关键词
3-MODE PRINCIPAL COMPONENT ANALYSIS; PARALLEL FACTOR ANALYSIS; PARAFAC; CANDECOMP;
D O I
10.1007/BF02616249
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We extend previous results of Kroonenberg and de Leeuw (1980) and Kroonenberg (1983, Ch. 5) on transformations of the extended core matrix of the Tucker2 model (Kroonenberg and de Leeuw 1980). In particular, it is shown that non-singular transformations to diagonalize the core matrix will lead to PARAFAC solutions (Harshman 1970; Harshman and Lundy 1984), if such solutions exist.
引用
收藏
页码:93 / 98
页数:6
相关论文
共 13 条
[1]  
Carroll J. D., 1974, CONT DEV MATH PSYCHO, V2, P57
[2]   ANALYSIS OF INDIVIDUAL DIFFERENCES IN MULTIDIMENSIONAL SCALING VIA AN N-WAY GENERALIZATION OF ECKART-YOUNG DECOMPOSITION [J].
CARROLL, JD ;
CHANG, JJ .
PSYCHOMETRIKA, 1970, 35 (03) :283-&
[3]  
COHEN L, 1974, PSYCHOMETRIC SOC M P
[4]   NEW COMPUTATIONAL METHOD TO FIT THE WEIGHTED EUCLIDEAN DISTANCE MODEL [J].
DELEEUW, J ;
PRUZANSKY, S .
PSYCHOMETRIKA, 1978, 43 (04) :479-490
[5]   FACTOR-ANALYSIS OF TONGUE SHAPES [J].
HARSHMAN, R ;
LADEFOGED, P ;
GOLDSTEIN, L .
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1977, 62 (03) :693-707
[6]  
Harshman R. A., 1970, MULTI MODEL FACTOR A, V16, P1
[7]  
Harshman R.A., 1984, RES METHODS MULTIMOD, P122
[8]  
Harshman Richard A, 1972, UCLA WORKING PAPERS, V22, P3
[9]  
KIERS HAL, 1988, STAT ANAL DONNEES, P14
[10]  
Kroonenberg P. M., 1983, 3 MODE PRINCIPAL COM