THE VARIMAX CRITERION FOR ANALYTIC ROTATION IN FACTOR-ANALYSIS
THE VARIMAX CRITERION FOR ANALYTIC ROTATION IN FACTOR-ANALYSIS
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DOI：
10.1007/bf02289233
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发表时间：
1958-01-01
期刊：
影响因子：
3
通讯作者：
KAISER, HF
中科院分区：
文献类型：
--
作者：
KAISER, HF
定义了旋转的解析判据。讨论了分析标准相对于主观(图形)旋转程序的科学优势。简要回顾了Carroll准则和Quartimax准则，详细介绍了varimax准则，并与Quartimax准则进行了逻辑上和数值上的对比。结果表明，正规的变分极大解可能与简单结构原理的应用非常吻合。然而，有人提出，旋转过程的最终标准是阶乘不变性，而不是简单的结构--尽管这两个概念似乎高度相关。正规的Varimax准则是经典Spearman情形的二维推广，即它对两个纯星团表现出完美的阶乘不变性。给出了正态变分极大解在两个以上因素下的不变性的一个例子。阐述了斜法变分极大判据。给出了正交法VARIMAX的计算轮廓。
An analytic criterion for rotation is defined. The scientific advantage of analytic criteria over subjective (graphical) rotational procedures is discussed. Carroll's criterion and the quartimax criterion are briefly reviewed; the varimax criterion is outlined in detail and contrasted both logically and numerically with the quartimax criterion. It is shown that the normal varimax solution probably coincides closely to the application of the principle of simple structure. However, it is proposed that the ultimate criterion of a rotational procedure is factorial invariance, not simple structure –although the two notions appear to be highly related. The normal varimax criterion is shown to be a two-dimensional generalization of the classic Spearman case, i.e., it shows perfect factorial invariance for two pure clusters. An example is given of the invariance of a normal varimax solution for more than two factors. The oblique normal varimax criterion is stated. A computational outline for the orthogonal normal varimax is appended.