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Spatial Poisson Regression for Health and Exposure Data Measured at Disparate Resolutions

不同空间分辨率健康与暴露数据的空间泊松回归

Ecological regression studies are widely used to examine relationships between disease rates for small geographical areas and exposure to environmental risk factors. The raw data for such studies, including disease cases, environmental pollution concentrations, and the reference population at risk, are typically measured at various levels of spatial aggregation but are accumulated to a common geographical scale to facilitate statistical analysis. In this traditional…

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A Bayesian Model for Fecundability and Sterility

受孕能力与不育的贝叶斯模型

There is increasing evidence that exposure to environmental toxins during key stages of development can disrupt the human reproductive system. Such effects have proven difficult to study due to the many behavioral and biological factors involved in human reproduction. We analyze data from a North Carolina fertility study to assess the effect of prenatal, childhood, and current cigarette smoking exposure on fecundability and sterility. We use a mixture model that adjusts for…

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Transmission of Pneumococcal Carriage in Families: A Latent Markov Process Model for Binary Longitudinal Data

家庭内肺炎链球菌携带传播:二元纵向数据的潜在马尔可夫过程模型

We present a Bayesian data augmentation model to estimate acquisition and clearance rates of carriage of Streptococcus pneumoniae (Pnc) bacteria. The panel observation data comprise 10 measurements of Pnc carriage (carrier/noncarrier of the bacteria) in all members of 97 families with young children over a period of 2 years. Using natural conditional independence assumptions, a transmission model is constructed for the unobserved dependent binary processes of the augmented…

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Analysis of a Randomized Trial to Prevent Vertical Transmission of HIV-1

预防 HIV-1 母婴垂直传播的随机试验分析

We analyze data from a randomized trial of breastfeeding versus formula feeding in HIV-1-infected mothers and their infants. Estimates of infant HIV-1-free survival and the timing of vertical transmission of HIV-1 are complicated by the fact that the infants' HIV-1 status at death may be unknown, the time of HIV-1 infection may be interval censored, and the tests used to detect HIV-1 infection in the infants may be less than 100% sensitive or specific. To address these…

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Statistical Methods for Quality Improvement

质量改进的统计方法

FUNDAMENTAL QUALITY IMPROVEMENT AND STATISTICAL CONCEPTS. Basic Tools for Improving Quality. Basic Concepts in Statistics and Probability. CONTROL CHARTS AND PROCESS CAPABILITY. Control Charts for Measurements with Subgrouping (for One Variable). Control Charts for Measurements without Subgrouping (for One Variable). Control Charts for Attributes. Process Capability. Alternatives to Shewhart Charts. Multivariate Control Charts for Measurement Data. Miscellaneous Control…

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A Robust Analysis of Crossover Designs Using Multisample Generalized L-Statistics

使用多样本广义 L 统计量稳健分析交叉设计

In a crossover study, some or all subjects receive more than one treatment sequentially. Using a clinical example as motivation, we develop multisample generalized L-statistics (GL-statistics) to estimate and test for treatment effects in crossovers when the distribution of the response data deviates from normality. The basic idea is to adapt simple L-statistics, such as the trimmed mean and median, to data with dependencies. GL-statistics may be applied to crossovers with…

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The Level-Based Stratified Sampling Plan

基于输出等值面的分层抽样设计

If the probability distribution of the input variables to a system described by a computer code is known, the distribution function of the output variable can be obtained by computer simulations. With a complicated program, each simulation can take very long time. It thus is necessary to choose the combinations of the input parameters carefully to get as much information as possible with a small number of computer runs. Different methods (true random sampling, stratified…

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Nonparametric Bayes Estimation of Contamination Levels Using Observations from the Residual Distribution

利用阈值以上样本的污染水平非参数贝叶斯估计

Data on contamination concentrations for chromium from one of the EPA's toxic waste sites consist of independent and identically distributed (iid) measurements along with additional observations from the residual distribution. The residual sample is obtained by sampling from hot spots, where contamination concentrations are assumed to be above a given threshold value. The data are modeled using a nonparametric Bayes estimator of the distribution function. The Dirichlet…

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