摘要：This study explores the effects of different correlation types (covariance and
correlation matrix, obtained from Pearson, Goodman, and Tetrachoric) on goodness-of-fit indices
in first order and second order factor analysis. The data included Math and Science subsets in
Student Selection and Placement Examination for Secondary Education test administered in 2001
with the participation of 553108 students. A first-order and second-order confirmatory factor
analyses were performed on the matrix from item scores obtained from several correlation
coefficients. The findings indicate that when second order factor loadings (first order correlations)
were equal, solutions with Pearson correlation coefficients yielded the most satisfactory goodnessof-
fit. When second order factor loadings (first order correlations) were not equal, solutions with
tetrachoric correlations yielded the most satisfactory goodness-of-fit.
关键词：Confirmatory factor analysis, hierarchical factor analysis, correlation, covariance, fit
indexes
