斜交因子相关度量下的旋转唯一性条件
Rotational Uniqueness Conditions Under Oblique Factor Correlation Metric
AI总结：
本文重新审视Jöreskog关于斜交因子解旋转识别的两组条件，证明因子相关度量下的条件需修正，且其与协方差度量条件并不等价。
摘要：
在其1969年开创性论文的补遗中，Jöreskog陈述了两组条件，用于在利用因子载荷矩阵中固定零元素的情况下对斜交因子解进行旋转识别。这两组条件分别在因子相关度量和因子协方差度量下表述，据称彼此等价，并会导致因子解的全局旋转唯一性。本文表明，为获得全局旋转唯一性，斜交因子相关结构的条件需要修正；因此，就解的唯一性而言，这两组条件并不等价。
英文摘要：
In an addendum to his seminal 1969 article Jöreskog stated two sets of conditions for rotational identification of the oblique factor solution under utilization of fixed zero elements in the factor loadings matrix. These condition sets, formulated under factor correlation and factor covariance metrics, respectively, were claimed to be equivalent and to lead to global rotational uniqueness of the factor solution. It is shown here that the conditions for the oblique factor correlation structure need to be amended for global rotational uniqueness, and hence, that the condition sets are not equivalent in terms of unicity of the solution.
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