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The Correlation Thresholding Algorithm for Exploratory Factor Analysis
DOI:10.1080/10705511.2025.2512350.png)
摘要
En 中文
Exploratory factor analysis is often used in the social sciences to estimate potential measurement models. To do this, several important issues need to be addressed: (1) determining the number of factors, (2) learning constraints in the factor loadings, and (3) selecting a solution amongst rotationally equivalent choices. Traditionally, these issues are treated separately. This work examines the Correlation Thresholding (CT) algorithm, which uses a graph-theoretic perspective to solve all three simultaneously, from a unified framework. Despite this advantage, it relies on several assumptions that may not hold in practice. We discuss the implications of these assumptions and assess the sensitivity of the CT algorithm to them for practical use in exploratory factor analysis. This is examined over a series of simulation studies, as well as a real data example. The CT algorithm shows reasonable robustness against violating these assumptions and very competitive performance in comparison to other methods.
Keyword:
Cliques
correlation
factor analysis
graphs
thresholding
期刊
S
IF:
3.2
论文数:
94
被引数:
2.1W
机构
引用论文
Tucker, L. R., & Lewis, C. (1973). A reliability coefficient for maximum likelihood factor analysis. Psychometrika, 38(1), 1–10. https://doi.org/10.1007/BF02291170 (Open in a new window)Web of Science ®(Open in a new window)Google Scholar特克勒和刘易斯(1973)。最大似然因子分析的信度系数。心理计量学,38(1),1-10。https://doi.org/10.1007/BF02291170(在新窗口中打开)Web of Science ®(在新窗口中打开)谷歌学术
Velicer, W. F., & Jackson, D. N. (1990). Component analysis versus common factor analysis: Some issues in selecting an appropriate procedure. Multivariate Behavioral Research, 25, 1–28. https://doi.org/10.1207/s15327906mbr2501_1 (Open in a new window)PubMed (Open in a new window)Web of Science ®(Open in a new window)Google ScholarVelicer, W. F., & Jackson, D. N. (1990)。成分分析与共同因子分析:选择适当方法的一些问题。多元行为研究, 25, 1–28. https://doi.org/10.1207/s15327906mbr2501_1 (在新窗口中打开)PubMed (在新窗口中打开)Web of Science ®(在新窗口中打开)Google Scholar
Whitely, S. E. (1983). Construct validity: Construct representation versus nomothetic span. Psychological Bulletin, 93, 179–197. https://doi.org/10.1037/0033-2909.93.1.179 (Open in a new window)Web of Science ®(Open in a new window)Google ScholarWhitely, S. E. (1983). 构念效度:构念表征与全称跨度. 心理学通报, 93, 179–197. https://doi.org/10.1037/0033-2909.93.1.179 (在新窗口中打开)Web of Science ®(在新窗口中打开)Google Scholar
Structural equation modeling in practice: a review and recommended two-step approach结构方程模型实践:综述与推荐的二步法
Tibshirani R. Regression Shrinkage and Selection via the lasso. J R Stat Soc Series B Stat Methodol. 2018;58(1):267–288. doi: 10.1111/j.2517-6161.1996.tb02080.x. (Open in a new window)Google ScholarTibshirani R. 通过Lasso进行回归收缩与选择. J R Stat Soc Series B Stat Methodol. 2018;58(1):267–288. doi: 10.1111/j.2517-6161.1996.tb02080.x. (在新窗口中打开)Google Scholar
Eppstein, D., Löffler, M., & Strash, D. (2010). Listing all maximal cliques in sparse graphs in near-optimal time. In International Symposium on Algorithms and Computation (pp. 403–414). (Open in a new window)Google ScholarEppstein, D., Löffler, M., & Strash, D. (2010). 列出稀疏图中所有极大团的近最优时间算法。载于国际算法与计算研讨会(第403-414页)。(在新窗口中打开)Google Scholar
Meinshausen, N., & Bühlmann, P. (2010). Stability selection. Journal of the Royal Statistical Society Series B: Statistical Methodology, 72, 417–473. https://doi.org/10.1111/j.1467-9868.2010.00740.x (Open in a new window)Google ScholarMeinshausen, N., & Bühlmann, P. (2010). 稳定性选择. 《皇家统计学会期刊B系列:统计方法学》, 72, 417–473. https://doi.org/10.1111/j.1467-9868.2010.00740.x (在新窗口中打开) Google Scholar
Watts, A. L., Smith, G. T., Barch, D. M., & Sher, K. J. (2020). Factor structure, measurement and structural invariance, and external validity of an abbreviated youth version of the UPPS-P impulsive behavior scale. Psychological Assessment, 32, 336–347. https://doi.org/10.1037/pas0000791 (Open in a new window)PubMed(Open in a new window)Google Scholar瓦茨(A. L.), 史密斯(G. T.), 巴奇(D. M.), & 谢尔(K. J.). (2020). UPPS-P冲动行为量表简版青年版的因子结构、测量和结构不变性及其外部效度. 心理评估, 32, 336–347. https://doi.org/10.1037/pas0000791 (在新窗口中打开)PubMed(在新窗口中打开)谷歌学术
Graham, J. M. (2006). Congeneric and (essentially) tau-equivalent estimates of score reliability: What they are and how to use them. Educational and Psychological Measurement, 66, 930–944. https://doi.org/10.1177/0013164406288165 (Open in a new window)Web of Science ®(Open in a new window)Google ScholarGraham, J. M. (2006). 同质性和(本质上)τ等价性估计的分数可靠性:它们是什么以及如何使用它们。Educational and Psychological Measurement, 66, 930–944. https://doi.org/10.1177/0013164406288165 (在新窗口中打开)Web of Science ®(在新窗口中打开)Google Scholar
Volkow, N. D., Koob, G. F., Croyle, R. T., Bianchi, D. W., Gordon, J. A., Koroshetz, W. J., Pérez-Stable, E. J., Riley, W. T., Bloch, M. H., Conway, K., Deeds, B. G., Dowling, G. J., Grant, S., Howlett, K. D., Matochik, J. A., Morgan, G. D., Murray, M. M., Noronha, A., Spong, C. Y., … Weiss, S. R. B. (2018). The conception of the ABCD study: From substance use to a broad NIH collaboration. Developmental Cognitive Neuroscience, 32, 4–7. https://doi.org/10.1016/j.dcn.2017.10.002 (Open in a new window)PubMed (Open in a new window)Web of Science ®(Open in a new window)Google ScholarVolkow, N. D., Koob, G. F., Croyle, R. T., Bianchi, D. W., Gordon, J. A., Koroshetz, W. J., Pérez-Stable, E. J., Riley, W. T., Bloch, M. H., Conway, K., Deeds, B. G., Dowling, G. J., Grant, S., Howlett, K. D., Matochik, J. A., Morgan, G. D., Murray, M. M., Noronha, A., Spong, C. Y., … Weiss, S. R. B. (2018). ABCD研究的构想:从物质使用到广泛的NIH合作。发展认知神经科学,32,4–7. https://doi.org/10.1016/j.dcn.2017.10.002 (在新窗口中打开)PubMed (在新窗口中打开)Web of Science ®(在新窗口中打开)Google Scholar

