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題名 A Penalized Likelihood Method for Multi-Group Structural Equation Modeling
作者 黃柏僩
Huang, Po-Hsien
貢獻者 心理系
日期 2018-03
上傳時間 10-八月-2021 16:43:36 (UTC+8)
摘要 In the past two decades, statistical modelling with sparsity has become an active research topic in the fields of statistics and machine learning. Recently, Huang, Chen and Weng (2017, Psychometrika, 82, 329) and Jacobucci, Grimm, and McArdle (2016, Structural Equation Modeling: A Multidisciplinary Journal, 23, 555) both proposed sparse estimation methods for structural equation modelling (SEM). These methods, however, are restricted to performing single-group analysis. The aim of the present work is to establish a penalized likelihood (PL) method for multi-group SEM. Our proposed method decomposes each group model parameter into a common reference component and a group-specific increment component. By penalizing the increment components, the heterogeneity of parameter values across the population can be explored since the null group-specific effects are expected to diminish. We developed an expectation-conditional maximization algorithm to optimize the PL criteria. A numerical experiment and a real data example are presented to demonstrate the potential utility of the proposed method.
關聯 British Journal of Mathematical and Statistical Psychology, Vol.71, pp.499-522
資料類型 article
DOI https://doi.org/10.1111/bmsp.12130
dc.contributor 心理系
dc.creator (作者) 黃柏僩
dc.creator (作者) Huang, Po-Hsien
dc.date (日期) 2018-03
dc.date.accessioned 10-八月-2021 16:43:36 (UTC+8)-
dc.date.available 10-八月-2021 16:43:36 (UTC+8)-
dc.date.issued (上傳時間) 10-八月-2021 16:43:36 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/136770-
dc.description.abstract (摘要) In the past two decades, statistical modelling with sparsity has become an active research topic in the fields of statistics and machine learning. Recently, Huang, Chen and Weng (2017, Psychometrika, 82, 329) and Jacobucci, Grimm, and McArdle (2016, Structural Equation Modeling: A Multidisciplinary Journal, 23, 555) both proposed sparse estimation methods for structural equation modelling (SEM). These methods, however, are restricted to performing single-group analysis. The aim of the present work is to establish a penalized likelihood (PL) method for multi-group SEM. Our proposed method decomposes each group model parameter into a common reference component and a group-specific increment component. By penalizing the increment components, the heterogeneity of parameter values across the population can be explored since the null group-specific effects are expected to diminish. We developed an expectation-conditional maximization algorithm to optimize the PL criteria. A numerical experiment and a real data example are presented to demonstrate the potential utility of the proposed method.
dc.format.extent 272546 bytes-
dc.format.mimetype application/pdf-
dc.relation (關聯) British Journal of Mathematical and Statistical Psychology, Vol.71, pp.499-522
dc.title (題名) A Penalized Likelihood Method for Multi-Group Structural Equation Modeling
dc.type (資料類型) article
dc.identifier.doi (DOI) 10.1111/bmsp.12130
dc.doi.uri (DOI) https://doi.org/10.1111/bmsp.12130