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调查权重与校准×Fay-Herriot模型(小区域估计)×分层抽样×
领域调查方法论调查方法论调查方法论
方法族Process / pipelineRegression modelProcess / pipeline
起源年份201019791977
提出者Sharon LohrRobert Fay & Roger HerriotWilliam G. Cochran
类型Estimation adjustment procedureModel-based survey estimatorProbability-based survey sampling design
开创性文献Lohr, S. L. (2010). Sampling: Design and Analysis (2nd ed.). Brooks/Cole. ISBN: 978-0-495-10527-5Fay, R. E., & Herriot, R. A. (1979). Estimates of income for small places: An application of James-Stein procedures to census data. Journal of the American Statistical Association, 74(366), 269–277. DOI ↗Cochran, W. G. (1977). Sampling Techniques (3rd ed.). Wiley. ISBN: 978-0-471-16240-7
别名Survey Calibration, Post-Stratification Weighting, Raking Adjustment, Ağırlıklandırma (Anket)SAE, Model-Based Small Area Estimation, Area-Level Model, Küçük Alan TahminiProportional Stratified Sampling, Optimal Allocation Sampling, Stratum-Based Sampling, Tabakalı Örnekleme
相关322
摘要Survey weighting is a statistical procedure that assigns a numeric weight to each sampled unit so that the weighted sample reproduces known population totals. Rooted in classical sampling theory and systematically synthesized by Sharon Lohr (2010), the approach corrects for unequal selection probabilities, unit nonresponse, and coverage gaps, producing estimates that are more representative of the target population than raw sample means or totals would be.Small Area Estimation (SAE) refers to statistical techniques that produce reliable estimates for subpopulations — geographical regions, demographic groups, or administrative units — where direct survey samples are too sparse to yield acceptable precision. The Fay-Herriot model, introduced by Robert Fay and Roger Herriot in 1979, is the canonical area-level SAE model. It supplements weak direct survey estimates with auxiliary covariate information through an empirical Bayes or BLUP framework, substantially reducing mean squared error for small domains.Stratified sampling is a probability sampling design in which the target population is partitioned into non-overlapping, exhaustive subgroups called strata, and independent probability samples are drawn within each stratum. Formalized by William G. Cochran in Sampling Techniques (1977), the method exploits known population structure to reduce variance and guarantee representativeness of all major subgroups, making it a cornerstone of large-scale survey research and official statistics.
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ScholarGate方法对比: Survey Weighting · Small Area Estimation · Stratified Sampling. 于 2026-06-18 检索自 https://scholargate.app/zh/compare