NONITERATIVE ESTIMATION AND THE CHOICE OF THE NUMBER OF FACTORS IN EXPLORATORY FACTOR-ANALYSIS

被引:15
作者
KANO, Y
机构
[1] Department of Applied Mathematics, Faculty of Engineering Science, Osaka University, Toyonaka, Osaka
关键词
exploratory factor analysis; identifiability; improper solutions; maximum likelihood estimator; noniterative estimator; number of factors; quasi-loadings;
D O I
10.1007/BF02295288
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Based on the usual factor analysis model, this paper investigates the relationship between improper solutions and the number of factors, and discusses the properties of the noniterative estimation method of Ihara and Kano in exploratory factor analysis. The consistency of the Ihara and Kano estimator is shown to hold even for an overestimated number of factors, which provides a theoretical basis for the rare occurrence of improper solutions and for a new method of choosing the number of factors. The comparative study of their estimator and that based on maximum likelihood is carried out by a Monte Carlo experiment. © 1990 The Psychometric Society.
引用
收藏
页码:277 / 291
页数:15
相关论文
共 39 条
[1]   FACTOR-ANALYSIS AND AIC [J].
AKAIKE, H .
PSYCHOMETRIKA, 1987, 52 (03) :317-332
[2]   NEW LOOK AT STATISTICAL-MODEL IDENTIFICATION [J].
AKAIKE, H .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1974, AC19 (06) :716-723
[3]   THE EFFECT OF SAMPLING ERROR ON CONVERGENCE, IMPROPER SOLUTIONS, AND GOODNESS-OF-FIT INDEXES FOR MAXIMUM-LIKELIHOOD CONFIRMATORY FACTOR-ANALYSIS [J].
ANDERSON, JC ;
GERBING, DW .
PSYCHOMETRIKA, 1984, 49 (02) :155-173
[4]  
Anderson T., 1984, INTRO MULTIVARIATE S
[5]  
ANDERSON TW, 1956, 3RD P BERK S MATH ST, V5, P111
[6]   AN EMPIRICAL-STUDY OF THE FACTOR-ANALYSIS STABILITY HYPOTHESIS [J].
BECHTOLDT, HP .
PSYCHOMETRIKA, 1961, 26 (04) :405-432
[7]  
BENTLER P. M., 1985, MULTIVARIATE ANAL, P9
[9]  
Browne M. W., 1982, TOPICS APPL MULTIVAR, P72, DOI [10.1017/CBO9780511897375.003, DOI 10.1017/CB09780511897375.003]
[10]   FUNDAMENTAL FACTORS OF COMPREHENSION IN READING [J].
Davis, Frederick B. .
PSYCHOMETRIKA, 1944, 9 (03) :185-197