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베이지안 계층 모델×잠재 성장 곡선 모형 (Latent Growth Curve Model, LGC)×
분야베이지안통계학
계열Bayesian methodsLatent structure
기원 연도20061990
창시자Gelman & Hill (2006); Bayesian multilevel traditionMeredith & Tisak
유형hierarchical probabilistic modelLatent variable / longitudinal growth model
원전Gelman, A. & Hill, J. (2006). Data Analysis Using Regression and Multilevel/Hierarchical Models. Cambridge University Press. DOI ↗Meredith, W. & Tisak, J. (1990). Latent Curve Analysis. Psychometrika, 55(1), 107–122. DOI ↗
별칭multilevel Bayes, Bayesian multilevel model, Bayesian HLM, partial pooling modellatent growth model, LGC, growth curve model, Gizil Büyüme Eğrisi Modeli
관련45
요약Bayesian hierarchical modelling, popularised by Gelman and Hill (2006), is a Bayesian approach to nested data structures — such as students within schools within districts — that estimates separate parameters at each level while allowing those levels to share statistical strength through a mechanism called partial pooling. Where a classical hierarchical linear model treats group means as fixed unknown quantities, the Bayesian version places hyperprior distributions on those group means so that information flows freely across levels, producing more reliable group-level estimates whenever any individual group has few observations.The latent growth curve model is a structural equation modelling approach introduced by Meredith and Tisak (1990) for analysing change over time. It treats each individual's starting point (intercept) and rate of change (slope) as latent variables, simultaneously estimating the average trajectory across the sample and the extent to which individuals differ in their own trajectories.
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