STRUCTURAL-ANALYSIS OF COVARIANCE AND CORRELATION MATRICES

被引:663
作者
JORESKOG, KG
机构
[1] Department of Statistics, University of Uppsala, Uppsala, S-751 20
关键词
circumplex; covariance structure analysis; factor analysis; path analysis; simplex; variance components;
D O I
10.1007/BF02293808
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A general approach to the analysis of covariance structures is considered, in which the variances and covariances or correlations of the observed variables are directly expressed in terms of the parameters of interest. The statistical problems of identification, estimation and testing of such covariance or correlation structures are discussed. Several different types of covariance structures are considered as special cases of the general model. These include models for sets of congeneric tests, models for confirmatory and exploratory factor analysis, models for estimation of variance and covariance components, regression models with measurement errors, path analysis models, simplex and circumplex models. Many of the different types of covariance structures are illustrated by means of real data. © 1978 Psychometric Society.
引用
收藏
页码:443 / 477
页数:35
相关论文
共 51 条
[1]  
Aitken A. C., 1936, P ROY SOC EDINB, V55, P42, DOI [10.1017/S0370164600014346, DOI 10.1017/S0370164600014346]
[2]  
Anderson T., 1969, P 2 INT S MULT AN, P55
[3]  
Anderson T.W., 1960, MATH METHODS SOCIAL, P205
[4]   THE USE OF FACTOR-ANALYSIS IN THE STATISTICAL-ANALYSIS OF MULTIPLE TIME-SERIES [J].
ANDERSON, TW .
PSYCHOMETRIKA, 1963, 28 (01) :1-25
[5]  
[Anonymous], ACAD MANAGEMENT REV, V15, P666, DOI [DOI 10.2307/270819, 10.2307/258687, DOI 10.2307/258687]
[6]   STANDARD ERRORS FOR ROTATED FACTOR LOADINGS [J].
ARCHER, CO ;
JENNRICH, RI .
PSYCHOMETRIKA, 1973, 38 (04) :581-592
[7]   COMPONENTS OF VARIANCE ANALYSIS AS A STRUCTURAL AND DISCRIMINAL ANALYSIS FOR PSYCHOLOGICAL-TESTS [J].
BOCK, RD .
BRITISH JOURNAL OF STATISTICAL PSYCHOLOGY, 1960, 13 (02) :151-163
[8]   ANALYSIS OF COVARIANCE STRUCTURES [J].
BOCK, RD ;
BARGMANN, RE .
PSYCHOMETRIKA, 1966, 31 (04) :507-507
[9]  
BROWNE MW, 1974, S AFR STAT J, V8, P1
[10]   ANALYSIS OF PATTERNED CORRELATION MATRICES BY GENERALIZED LEAST-SQUARES [J].
BROWNE, MW .
BRITISH JOURNAL OF MATHEMATICAL & STATISTICAL PSYCHOLOGY, 1977, 30 (MAY) :113-124