An Empirical Comparison of Three Indices of Factorial Similarity

An Empirical Comparison of Three Indices of Factorial Similarity
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三个阶乘相似度指标的实证比较

DOI:
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发表时间:
1972
期刊:
影响因子:
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通讯作者:
P. Cleary
P. Cleary
中科院分区:
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文献类型:
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作者:
L. Derogatis;J. Serio;P. Cleary

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对因子匹配(不变性)问题的充分方法论解决的必要性--长期以来被理论导向的因子分析员视为关键--今天也被应用行为科学家强烈地感受到。随着因子分析在行为科学中得到更广泛的应用,对有效的、一般的因子相似性指数的需求也成比例地增长。最近的研究产生了一些分析性指数,这些指数被认为是有效地表示因素之间的相似程度;本论文涉及三个这样的衡量标准的经验比较,看它们如何完成这项任务。选择一致性系数、不变系数和卡特尔S指数进行比较。这3个系数是在一些不同的数据集上评估的,这些数据集反映了来自不同来源的不同之处。观察到三种技术都具有有效性,但也有限制条件。结论表明,这些方法的充分性不能用绝对值来判断,而必须根据数据的特殊要求来评估。
The need for an adequate methodological resolution to the factor-matching (invariance) problem—long recognized as critical by theoretically oriented factor analysts—is also being strongly felt by applied behavioral scientists today. As factor analysis has become more generally utilized in the behavioral sciences, the demand for a valid, general index of factorial similarity has grown proportionally. Recent research has resulted in a number of analytic indices which are purported to represent validly the degree of similarity among factors; the present paper concerns an empirical comparison of three such measures as to how well they perform this task. The congruency coefficient, coefficient of invariance, and Cattell's s-index were chosen for comparison. The 3 coefficients were assessed on a number of distinct data sets which reflected dissimilarities arising from different sources. All 3 techniques were observed to possess validity but also to have limiting conditions. Conclusions suggest that the adequacy of the methods cannot be judged in absolute terms but rather must be assessed in terms of the particular requirements of the data.