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Multilevel Regression and Poststratification×多层模型×
领域Political Science研究统计学
方法族Regression modelProcess / pipeline
起源年份20041992
提出者Gelman and Little (method); Park, Gelman & Bafumi (state-level application)Anthony Bryk and Stephen Raudenbush
类型Survey small-area estimation model combining multilevel regression with census poststratificationMethod
开创性文献Park, D. K., Gelman, A., & Bafumi, J. (2004). Bayesian Multilevel Estimation with Poststratification: State-Level Estimates from National Polls. Political Analysis, 12(4), 375–385. DOI ↗Bryk, A. S., & Raudenbush, S. W. (1992). Hierarchical Linear Models: Applications and Data Analysis Methods. SAGE Publications. DOI ↗
别名MRP, Mister P, Multilevel regression with poststratification, Small-area opinion estimationHLM, mixed-effects models, random effects models, MLM
相关53
摘要Multilevel regression and poststratification (MRP) estimates opinion or behavior in small subpopulations — states, districts, demographic groups — from a single national survey that is far too small to support direct estimates in each unit. It first fits a multilevel model that predicts the outcome from individual demographic and geographic characteristics, borrowing strength across units through partial pooling, and then poststratifies the predicted values to known population counts of demographic-by-geographic cells. Introduced for state-level opinion by Park, Gelman, and Bafumi (2004) and shown by Lax and Phillips (2009) to outperform disaggregation, MRP has become the standard tool for subnational opinion estimation.Multilevel modeling (also called hierarchical linear modeling, mixed-effects modeling) is a statistical framework for analyzing data organized in nested or clustered structures—students within schools, patients within hospitals, repeated measures within individuals. Developed by Bryk and Raudenbush (1992), it accounts for dependency among observations and partitions variance into levels (within-cluster and between-cluster), enabling valid inference and revealing context effects. Essential in education, medicine, organizational research, and any field where data have natural hierarchies.
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ScholarGate方法对比: Multilevel Regression and Poststratification · Multilevel Modeling. 于 2026-06-24 检索自 https://scholargate.app/zh/compare