Jennrich Robert I, Trendafilov Nickolay T
Department of Mathematics, University of California, Los Angeles, USA.
Br J Math Stat Psychol. 2005 Nov;58(Pt 2):199-208. doi: 10.1348/000711005X64105.
In this paper we consider the well-known Thurstone box problem in exploratory factor analysis. Initial loadings and components are extracted using principal component analysis. Rotating the components towards independence rather than rotating the loadings towards simplicity allows one to accurately recover the dimensions of each box and also produce simple loadings. It is shown how this may be done using an appropriate rotation criterion and a general rotation algorithm. Methods from independent component analysis are used, and this paper may be viewed as an introduction to independent component analysis from the perspective of factor analysis.
在本文中,我们考虑探索性因子分析中著名的瑟斯顿盒子问题。使用主成分分析提取初始载荷和成分。将成分旋转至独立,而非将载荷旋转至简单,这样就能准确恢复每个盒子的维度,并得到简单的载荷。本文展示了如何使用合适的旋转准则和通用旋转算法来实现这一点。我们采用了独立成分分析的方法,本文可被视为从因子分析的角度对独立成分分析的介绍。