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Francesco Innocenti; Math J. J. M. Candel; Frans E. S. Tan; Gerard J. P. van Breukelen – Journal of Educational and Behavioral Statistics, 2024
Normative studies are needed to obtain norms for comparing individuals with the reference population on relevant clinical or educational measures. Norms can be obtained in an efficient way by regressing the test score on relevant predictors, such as age and sex. When several measures are normed with the same sample, a multivariate regression-based…
Descriptors: Sample Size, Multivariate Analysis, Error of Measurement, Regression (Statistics)
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Choi, Kilchan; Seltzer, Michael – Journal of Educational and Behavioral Statistics, 2010
In studies of change in education and numerous other fields, interest often centers on how differences in the status of individuals at the start of a period of substantive interest relate to differences in subsequent change. In this article, the authors present a fully Bayesian approach to estimating three-level Hierarchical Models in which latent…
Descriptors: Simulation, Computation, Models, Bayesian Statistics
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Bauer, Daniel J.; Cai, Li – Journal of Educational and Behavioral Statistics, 2009
Applications of multilevel models have increased markedly during the past decade. In incorporating lower-level predictors into multilevel models, a key interest is often whether or not a given predictor requires a random slope, that is, whether the effect of the predictor varies over upper-level units. If the variance of a random slope…
Descriptors: Models, Predictor Variables, Statistical Analysis, Regression (Statistics)