標題: A Solution to Modeling Multilevel Confirmatory Factor Analysis with Data Obtained from Complex Survey Sampling to AvoidConflated Parameter Estimates
作者: Wu, Jiun-Yu
Lin, John J. H.
Nian, Mei-Wen
Hsiao, Yi-Cheng
教育研究所
Institute of Education
關鍵字: multilevel confirmatory factor analysis;design-based approach;model-based approach;maximum model;level-varying factor loadings;complex survey sampling;measurement
公開日期: 22-九月-2017
摘要: The issue of equality in the between-and within-level structures in Multilevel Confirmatory Factor Analysis (MCFA) models has been influential for obtaining unbiased parameter estimates and statistical inferences. A commonly seen condition is the inequality of factor loadings under equal level-varying structures. With mathematical investigation and Monte Carlo simulation, this study compared the robustness of five statistical models including two model-based (a true and a mis-specified models), one design-based, and two maximum models (two models where the full rank of variance-covariance matrix is estimated in between level and within level, respectively) in analyzing complex survey measurement data with level-varying factor loadings. The empirical data of 120 3rd graders' (from 40 classrooms) perceived Harter competence scale were modeled using MCFA and the parameter estimates were used as true parameters to perform the Monte Carlo simulation study. Results showed maximum models was robust to unequal factor loadings while the design-based and the miss-specified model-based approaches produced conflated results and spurious statistical inferences. We recommend the use of maximum models if researchers have limited information about the pattern of factor loadings and measurement structures. Measurement models are key components of Structural Equation Modeling (SEM); therefore, the findings can be generalized to multilevel SEM and CFA models. Mplus codes are provided for maximum models and other analytical models.
URI: http://dx.doi.org/10.3389/fpsyg.2017.01464
http://hdl.handle.net/11536/146108
ISSN: 1664-1078
DOI: 10.3389/fpsyg.2017.01464
期刊: FRONTIERS IN PSYCHOLOGY
Volume: 8
起始頁: 0
結束頁: 0
顯示於類別:期刊論文


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