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Йерархично линейно моделиране (HLM / Многостепенно моделиране)×Метод на най-малките квадрати (МНК)×Модел с фиксирани ефекти за панелни данни×
ОбластСтатистикаИконометрияИконометрия
СемействоHypothesis testRegression modelRegression model
Година на възникване198620192014
СъздателRaudenbush & Bryk (popularized); Goldstein (parallel development)Wooldridge (textbook treatment); classical least squaresHsiao (textbook treatment); within transformation of panel data
ТипParametric nested-data regressionLinear regressionPanel data regression
Основополагащ източникRaudenbush, S.W. & Bryk, A.S. (2002). Hierarchical Linear Models: Applications and Data Analysis Methods (2nd ed.). Sage. ISBN: 978-0761919049Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860Hsiao, C. (2014). Analysis of Panel Data (3rd ed.). Cambridge University Press. DOI ↗
Други названияHLM, MLM, multilevel modeling, multilevel analysisordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonufixed effects model, within estimator, panel fixed-effects regression, Panel Veri — Sabit Etkiler Modeli
Свързани455
РезюмеHierarchical Linear Modeling (HLM), also known as Multilevel Modeling (MLM), is a parametric statistical method for analyzing nested or clustered data — for example students within classrooms, patients within hospitals, or employees within organizations. Formalized by Raudenbush and Bryk in their 2002 seminal text (building on work from the mid-1980s), HLM simultaneously estimates individual-level and group-level effects while correctly partitioning variance across levels.Ordinary Least Squares is the classical linear regression method that explains a continuous outcome as a linear combination of predictors. It estimates the coefficients by minimising the sum of squared residuals, and under the Gauss-Markov assumptions these estimates are the best linear unbiased estimator (BLUE).The Panel Data Fixed Effects model estimates relationships from panel data (the same units observed over several time periods) while controlling for unit- and/or time-specific effects, supporting causal inference. It is developed as the within estimator in standard treatments such as Hsiao's Analysis of Panel Data (2014).
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ScholarGateСравнение на методи: Hierarchical Linear Modeling · OLS Regression · Panel Fixed Effects. Извлечено на 2026-06-18 от https://scholargate.app/bg/compare