An Empirical Comparison Of The Similarity Of Principal Component, Image, And Factor Patterns.
An Empirical Comparison Of The Similarity Of Principal Component, Image, And Factor Patterns.
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DOI：
10.1207/s15327906mbr1201_1
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发表时间：
1977
影响因子：
3.8
通讯作者：
W. Velicer
中科院分区：
文献类型：
--
作者：
W. Velicer
因子分析、图像成分分析和主成分分析是用于相同目的的三种方法。传统上，因子分析被视为首选方法，其他方法在计算上更容易近似。近年来，因子分析模型的理论问题如因子的不确定性问题受到了广泛关注。为了评估三种方法产生的结果之间的相似程度，最大似然因子分析，重新缩放图像分析和主成分分析产生的模式进行比较，为9个数据集。两种不同的比较被认为是：一个直接加载的模式比较，和模式之间的差异矩阵上定义的汇总统计。在正交和倾斜旋转位置的图案进行比较，并通过正交procrustes旋转实现最大相似性的位置。这三种方法产生的图案非常相似。图像成分分析和最大似然因子分析通常产生最相似的结果，主成分分析和最大似然因子分析通常产生最不相似的结果。差异通常出现在最后提取的因子中，可能是因为提取了太多的因子。
Factor analysis, image component analysis, and principal component analysis are three methods that have been employed for the same purpose. Factor analysis was traditionally viewed as the preferred method, with other methods serving as computationally easier approximations. Recently attention has been focused on theoretical problems with the factor analysis model such as the factor indeterminacy issue. In order to assess the degree of similarity between the results produced by each of the three methods, the patterns produced by maximum likelihood factor analysis, rescaled image analysis, and principal component analysis are compared for nine data sets. Two different comparisons are considered: a direct loading-by-loading comparison of the patterns, and a summary statistic defined on the matrix of differences between patterns. Comparisons are made for the patterns in both orthogonal and oblique rotational positions, and a position of maximum similarity is achieved by an orthogonal procrustes rotation. The patterns produced by each of the three methods were remarkably similar. Image component analysis and maximum likelihood factor analysis generally produced the most similar results and principal component analysis and maximum likelihood factor analysis generally produced the most dissimilar results. Differences generally occurred in the last factor extracted, possibly because too many factors had been extracted.