SELECTION OF COMPONENTS IN PRINCIPAL COMPONENT ANALYSIS - A COMPARISON OF METHODS

被引:101
作者
FERRE, L [1 ]
机构
[1] UNIV TOULOUSE 3, STAT & PROBABIL LAB, CNRS, URA 745, F-31062 TOULOUSE, FRANCE
关键词
PRINCIPAL COMPONENT ANALYSIS; FIXED EFFECT MODEL; CHOICE OF DIMENSIONALITY;
D O I
10.1016/0167-9473(94)00020-J
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
The problem of the choice of the relevant components in principal component analysis is presented as a model selection problem. In this context, we present the numerous methods most often used to determine the number of relevant components and we try to show why unfortunately most of them fail. Then these methods are compared on simulated data to study their behaviour.
引用
收藏
页码:669 / 682
页数:14
相关论文
共 41 条
[1]   RELATIONSHIP BETWEEN VARIABLE SELECTION AND DATA AUGMENTATION AND A METHOD FOR PREDICTION [J].
ALLEN, DM .
TECHNOMETRICS, 1974, 16 (01) :125-127
[2]   ESTIMATING LINEAR STATISTICAL RELATIONSHIPS [J].
ANDERSON, TW .
ANNALS OF STATISTICS, 1984, 12 (01) :1-45
[3]   ASYMPTOTIC THEORY FOR PRINCIPAL COMPONENT ANALYSIS [J].
ANDERSON, TW .
ANNALS OF MATHEMATICAL STATISTICS, 1963, 34 (01) :122-&
[4]  
[Anonymous], STATISTICIAN
[5]   TESTS OF SIGNIFICANCE IN FACTOR ANALYSIS [J].
Bartlett, M. S. .
BRITISH JOURNAL OF PSYCHOLOGY-STATISTICAL SECTION, 1950, 3 :77-85
[6]  
Barton D., 1956, J ROY STAT SOC B, P79
[7]   PCA STABILITY AND CHOICE OF DIMENSIONALITY [J].
BESSE, P .
STATISTICS & PROBABILITY LETTERS, 1992, 13 (05) :405-410
[8]  
BESSE P, 1993, REV STAT APPL, V41, P71
[9]  
BESSE P, 1988, STATISTICS, V19, P301, DOI DOI 10.1080/02331888808802103
[10]   SCREE TEST FOR NUMBER OF FACTORS [J].
CATTELL, RB .
MULTIVARIATE BEHAVIORAL RESEARCH, 1966, 1 (02) :245-276