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Statistical Modeling Methodology for the Voting Rights Act Section 203 Language Assistance Determinations

《投票权法》第203条语言援助适用范围的统计建模方法

Section 203 of the Voting Rights Act includes provisions requiring the use of election materials in languages other than English for states or political subdivisions, specifically, when a minimum number of voting age U.S. citizens of specified language minority groups who are unable to speak English very well and have obtained less than a fifth-grade education is met. Data on these characteristics are provided by the 2010 Census and the American Community Survey (ACS), a…

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Small Area Inference for Binary Variables in the National Health Interview Survey

全国健康访谈调查中二元变量的小区域推断

The National Health Interview Survey is designed to produce precise estimates of finite population parameters for the entire United States but not for small geographical areas or subpopulations. Our investigation concerns estimates of proportions such as the probability of at least one visit to a doctor within the past 12 months. To include all sources of variation in the model, we carry out a Bayesian hierarchical analysis for the desired finite population quantities.…

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Bayesian Methodology for Combining the Results from Different Experiments when the Specifications for Pooling are Uncertain

合并规则不确定时整合不同实验结果的贝叶斯方法

Given data from several experiments or observational studies initially believed to be similar, it is desired to estimate the means corresponding to one or more experiments of particular interest. To illustrate the proposed methodology we consider a simple specification where there are no covariates. A class of prior distributions for the set, μ = (μ1,…, μL), of experiment means is specified to reflect the beliefs that (a) there are subsets of μ such that the μ1's within each…

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Bayesian methodology for combining the results from different experiments when the specifications for pooling are uncertain

合并规则不确定时整合不同实验结果的贝叶斯方法

Given data from several experiments or observational studies initially believed to be similar, it is desired to estimate the means corresponding to one or more experiments of particular interest. To illustrate the proposed methodology we consider a simple specification where there are no covariates. A class of prior distributions for the set, μ = (μ1,…, μL), of experiment means is specified to reflect the beliefs that (a) there are subsets of μ such that the μ1's within each…

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Capture—Recapture Models When Both Sources Have Clustered Observations

两个来源均有聚类观测时的捕获—再捕获模型

Capture—recapture models assume that individuals in the population are captured one at a time and independently of each other. There are often situations, however, where individuals are captured in small clusters or groups. This article provides a model that allows individuals to be captured in groups; the EM algorithm is used to estimate parameters in the model that include capture probabilities and the size of the population under study.

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Bayesian Inference for Finite Population Parameters in Multistage Cluster Sampling

多阶段整群抽样中有限总体参数的贝叶斯推断

Assuming a model appropriate for many multistage sample surveys, Bayesian predictive inference for a general linear function, ω, of the finite population elements is described. In a broad class of linear estimators of ω, the posterior mean, E″(ω), of ω is shown to have the optimal frequentist property of minimal bounded mean squared error. For the special case of three-stage sampling, E″(ω) is described in detail. Also presented are the results of an investigation of the…

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