TY - JOUR
T1 - A Least-Squares Solution for Correlation Structure Analysis with Fisher's Z-Transformation
AU - Toyoda, Hideki
PY - 1989
Y1 - 1989
N2 - The purpose of this study is to propose a least-squares method for parameter estimation using Fisher's z-transformation in correlation structure analysis. An advantage of this method in comparison with the unweighted least squares method (ULS) is that the residuals are normally distributed and their variances are homogeneous. A numerical example is given for factor analysis by using the data of Spearman (1904). Through the results of computer simulations in higher-order factor analysis, this method is shown to have less significant errors of parameter estimates than the ULS.
AB - The purpose of this study is to propose a least-squares method for parameter estimation using Fisher's z-transformation in correlation structure analysis. An advantage of this method in comparison with the unweighted least squares method (ULS) is that the residuals are normally distributed and their variances are homogeneous. A numerical example is given for factor analysis by using the data of Spearman (1904). Through the results of computer simulations in higher-order factor analysis, this method is shown to have less significant errors of parameter estimates than the ULS.
KW - Fisher's z-transformation
KW - computer simulation
KW - correlation structure analysis
KW - higher-order factor analysis
KW - least-squares method
UR - http://www.scopus.com/inward/record.url?scp=85008023938&partnerID=8YFLogxK
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U2 - 10.5926/jjep1953.37.1_67
DO - 10.5926/jjep1953.37.1_67
M3 - Article
AN - SCOPUS:85008023938
SN - 0021-5015
VL - 37
SP - 67
EP - 70
JO - Japanese Journal of Educational Psychology
JF - Japanese Journal of Educational Psychology
IS - 1
ER -