ASYMPTOTIC CORRELATIONS BETWEEN ROTATED SOLUTIONS IN FACTOR ANALYSIS
ASYMPTOTIC CORRELATIONS BETWEEN ROTATED SOLUTIONS IN FACTOR ANALYSIS
复制标题
因子分析中旋转解之间的渐近相关性
DOI：
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发表时间：
2000
期刊：
影响因子：
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通讯作者：
H. Ogasawara
中科院分区：
文献类型：
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作者：
H. Ogasawara
推导了探索性因子分析中不同旋转解之间的渐近相关性。对于非标准化或标准化的清单变量，解被正交或斜向旋转。为了得到不同解之间的渐近相关性，构造了显式变量的协方差模型，使得两组解包含在一个协方差结构中。渐近相关性可用于旋转解差异的统计检验。在模型中引入了第一解和第二解的旋转因子之间的相关矩阵，并给出了适当的约束条件，以识别模型。同时给出了不同解中因子间相关性的估计的渐近标准误差。最后给出了一个数值算例，并给出了仿真结果.
The asymptotic correlations between differently rotated solutions in exploratory factor analysis are derived. The solutions are orthogonally or obliquely rotated for unstandardized or standardized manifest variables. To obtain the asymptotic correlations between different solutions, the covariance models for manifest variables have been constructed so that two sets of solutions are involved in a single covariance structure. The asymptotic correlations can be used for the statistical test of the differences of rotated solutions. The correlation matrix between the rotated factors of the first solution and those of the second is also introduced in the models with appropriate restrictions to identify the models. The asymptotic standard errors of the estimates of the correlations between the factors in different solutions are simultaneously provided. A numerical example is presented with simulated values.