Rotational Uniqueness Conditions Under Oblique Factor Correlation Metric

Rotational Uniqueness Conditions Under Oblique Factor Correlation Metric
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斜因子相关度量下的旋转唯一性条件

DOI:
10.1007/s11336-012-9259-3
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发表时间:
2012
期刊:
影响因子:
3
通讯作者:
C. Peeters
C. Peeters
中科院分区:
心理学4区
文献类型:
--
作者:
C. Peeters

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在他1969年开创性文章Jöreskog的附录中,阐述了在因子载荷矩阵中利用固定零元素旋转识别倾斜因子解的两组条件(Jöreskog在因子分析和结构方程模型的进展中,第40-43页,1979)。这些分别在因子相关和因子协方差度量下表述的条件集被认为是等价的,并导致因子解的全局旋转唯一性。这里表明,斜因子相关结构的条件需要修正为全局旋转唯一性,因此,条件集在解的唯一性方面是不等价的。
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 (Jöreskog in Advances in factor analysis and structural equation models, pp. 40–43, 1979). 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.