Determining Sample Size Requirements in EFA Solutions: A Simple Empirical Proposal.

IF 5.3 3区 心理学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Multivariate Behavioral Research Pub Date : 2024-09-01 Epub Date: 2024-05-08 DOI:10.1080/00273171.2024.2342324
Urbano Lorenzo-Seva, Pere J Ferrando
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Abstract

In unrestricted or exploratory factor analysis (EFA), there is a wide range of recommendations about the size samples should be to attain correct and stable solutions. In general, however, these recommendations are either rules of thumb or based on simulation results. As it is hard to establish the extent to which a particular data set suits the conditions used in a simulation study, the advice produced by simulation studies is not direct enough to be of practical use. Instead of trying to provide general and complex recommendations, in this article, we propose to estimate the sample size that is needed to analyze a data set at hand. The estimation takes into account the specified EFA model. The proposal is based on an intensive simulation process in which the sample correlation matrix is used as a basis for generating data sets from a pseudo-population in which the parent correlation holds exactly, and the criterion for determining the size required is a threshold that quantifies the closeness between the pseudo-population and the sample reproduced correlation matrices. The simulation results suggest that the proposal works well and that the determinants identified agree with those in the literature.

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确定 EFA 解决方案中的样本量要求:一个简单的经验建议
在非限制性或探索性因子分析(EFA)中,有很多关于样本大小的建议,以获得正确稳定的解。但一般来说,这些建议要么是经验法则,要么是基于模拟结果。由于很难确定特定数据集在多大程度上符合模拟研究中使用的条件,因此模拟研究提出的建议不够直接,没有实际用途。本文建议估算分析手头数据集所需的样本量,而不是试图提供笼统而复杂的建议。估算时要考虑到指定的 EFA 模型。该建议基于一个密集的模拟过程,在此过程中,样本相关矩阵被用作从父相关性完全成立的伪群体中生成数据集的基础,而确定所需规模的标准是一个阈值,该阈值量化了伪群体与样本再现相关矩阵之间的接近程度。模拟结果表明,该建议运行良好,所确定的决定因素与文献中的决定因素一致。
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来源期刊
Multivariate Behavioral Research
Multivariate Behavioral Research 数学-数学跨学科应用
CiteScore
7.60
自引率
2.60%
发文量
49
审稿时长
>12 weeks
期刊介绍: Multivariate Behavioral Research (MBR) publishes a variety of substantive, methodological, and theoretical articles in all areas of the social and behavioral sciences. Most MBR articles fall into one of two categories. Substantive articles report on applications of sophisticated multivariate research methods to study topics of substantive interest in personality, health, intelligence, industrial/organizational, and other behavioral science areas. Methodological articles present and/or evaluate new developments in multivariate methods, or address methodological issues in current research. We also encourage submission of integrative articles related to pedagogy involving multivariate research methods, and to historical treatments of interest and relevance to multivariate research methods.
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