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Liu, Jin; Perera, Robert A.; Kang, Le; Sabo, Roy T.; Kirkpatrick, Robert M. – Journal of Educational and Behavioral Statistics, 2022
This study proposes transformation functions and matrices between coefficients in the original and reparameterized parameter spaces for an existing linear-linear piecewise model to derive the interpretable coefficients directly related to the underlying change pattern. Additionally, the study extends the existing model to allow individual…
Descriptors: Longitudinal Studies, Statistical Analysis, Matrices, Mathematics
Hwang, HyeJin – Elementary School Journal, 2020
This study investigated the role of early general knowledge in English reading growth of bilingual and monolingual students in the elementary years by using the Early Childhood Longitudinal Study, Kindergarten Class data set. The analyses of latent growth models showed that the estimated gap in English reading between students who started school…
Descriptors: Elementary School Students, Bilingual Students, Monolingualism, English
Nazari, Sanaz; Leite, Walter L.; Huggins-Manley, A. Corinne – Journal of Experimental Education, 2023
The piecewise latent growth models (PWLGMs) can be used to study changes in the growth trajectory of an outcome due to an event or condition, such as exposure to an intervention. When there are multiple outcomes of interest, a researcher may choose to fit a series of PWLGMs or a single parallel-process PWLGM. A comparison of these models is…
Descriptors: Growth Models, Statistical Analysis, Intervention, Comparative Analysis
Liu, Haiyan; Zhang, Zhiyong; Grimm, Kevin J. – Grantee Submission, 2016
Growth curve modeling provides a general framework for analyzing longitudinal data from social, behavioral, and educational sciences. Bayesian methods have been used to estimate growth curve models, in which priors need to be specified for unknown parameters. For the covariance parameter matrix, the inverse Wishart prior is most commonly used due…
Descriptors: Bayesian Statistics, Computation, Statistical Analysis, Growth Models
Lu, Yi – Journal of Educational Issues, 2016
To model students' math growth trajectory, three conventional growth curve models and three growth mixture models are applied to the Early Childhood Longitudinal Study Kindergarten-Fifth grade (ECLS K-5) dataset in this study. The results of conventional growth curve model show gender differences on math IRT scores. When holding socio-economic…
Descriptors: Growth Models, Mathematics Achievement, Achievement Gains, Longitudinal Studies
Braun, Henry; Qu, Yanxuan – ETS Research Report Series, 2008
This paper reports on a study conducted to investigate the consistency of the results between 2 approaches to estimating school effectiveness through value-added modeling. Estimates of school effects from the layered model employing item response theory (IRT) scaled data are compared to estimates derived from a discrete growth model based on the…
Descriptors: Value Added Models, School Effectiveness, Robustness (Statistics), Computation