Ogasawara H
Shinrigaku Kenkyu. 1986 Jun;57(2):75-82. doi: 10.4992/jjpsy.57.75.
The factor transformation problem in inter-battery factor analysis is not limited to ordinary factor rotation. In this paper, four methods of transformation in inter-battery factor analysis are proposed. The first one is a solution of Gibson's (1960) proposal and may be applied to obtain factor loadings for the transformation toward simple structure. The second one is a kind of Procrustes rotation in inter-battery factor analysis. These solutions are obtained by numerical methods. The third and the fourth ones consist of scale transformation of factor loadings and may be applied to cases where orthogonality of factor loadings are desirable to a definite interpretation (e.g. as a profile score which is independent of general ability). The transformed values of the third and fourth methods are obtained as the numerical solutions of quartic equations.
电池间因素分析中的因素转换问题并不局限于普通因素旋转。本文提出了电池间因素分析中的四种转换方法。第一种是对吉布森（1960年）提议的一种解决方案，可用于获得向简单结构转换的因素载荷。第二种是电池间因素分析中的一种普罗克汝斯忒斯旋转。这些解决方案是通过数值方法获得的。第三种和第四种方法包括因素载荷的尺度变换，可应用于需要因素载荷正交性以进行明确解释的情况（例如作为独立于一般能力的剖面图分数）。第三种和第四种方法的变换值是作为四次方程的数值解获得的。
