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مدل خطی سلسله مراتبی (HLM)×مدل خطی تعمیم‌یافته (GLM)×
حوزهآمارآمار
خانوادهRegression modelRegression model
سال پیدایش19921972
پدیدآورBryk & RaudenbushJohn A. Nelder & Robert W. M. Wedderburn
نوعMultilevel linear regressionRegression framework
منبع بنیادینRaudenbush, S. W., & Bryk, A. S. (2002). Hierarchical Linear Models: Applications and Data Analysis Methods (2nd ed.). Sage Publications. ISBN: 978-0761919049Nelder, J. A., & Wedderburn, R. W. M. (1972). Generalized linear models. Journal of the Royal Statistical Society: Series A (General), 135(3), 370–384. DOI ↗
نام‌های دیگرHLM, multilevel linear model, nested data model, random coefficient modelGLM, generalized regression, exponential family regression, link-function model
مرتبط46
خلاصهThe Hierarchical Linear Model (HLM) is a multilevel regression method designed for data in which lower-level units (e.g., students, patients) are nested within higher-level groups (e.g., schools, hospitals). It simultaneously models within-group relationships and between-group variation, producing unbiased estimates and correct standard errors that ordinary regression cannot provide for nested data.The Generalized Linear Model is a unified regression framework that extends ordinary linear regression to outcomes from the exponential family — including binary, count, proportion, and continuous positive outcomes. A link function connects the linear predictor to the mean of the response, enabling principled modelling beyond the Gaussian case.
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ScholarGateمقایسهٔ روش‌ها: Hierarchical Linear Model · Generalized Linear Model. بازیابی‌شده در 2026-06-17 از https://scholargate.app/fa/compare