A Solution to Modeling Multilevel Confirmatory Factor Analysis with Data Obtained from Complex Survey Sampling to Avoid Conflated Parameter Estimates
| Autor: | Jiun-Yu Wu, Mei Wen Nian, Yi Cheng Hsiao, John J.H. Lin |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: |
Computer science
lcsh:BF1-990 Monte Carlo method Structural equation modeling maximum model 0504 sociology multilevel confirmatory factor analysis Statistics design-based approach Statistical inference Psychology model-based approach Spurious relationship General Psychology Simulation Factor analysis Original Research complex survey sampling 05 social sciences Multilevel model 050401 social sciences methods 050301 education Statistical model Confirmatory factor analysis lcsh:Psychology level-varying factor loadings measurement 0503 education |
| Zdroj: | Frontiers in Psychology Frontiers in Psychology, Vol 8 (2017) |
| ISSN: | 1664-1078 |
| DOI: | 10.3389/fpsyg.2017.01464 |
| Popis: | 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 modelled 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. |
| Databáze: | OpenAIRE |
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