Bayesian Variable Selection in Generalized Linear Models with Missing Varibles

缺失变量的广义线性模型中的贝叶斯变量选择

• 批准号: 8317303
• 负责人: XIAOWEI YANG
• 金额: $ 9.69万
• 依托单位: UNIVERSITY OF CALIFORNIA AT DAVIS
• 依托单位国家: 美国
• 财政年份: 2011
• 资助国家: 美国
• 起止时间: 2011-08-11 至 2012-08-27
• 项目状态: 已结题
• 来源: https://reporter.nih.gov/project-details/8317303
• 关键词: Address; Algorithms; Archives; Autistic Disorder; Behavioral; Benefits and Risks; Biomedical Computing; Biomedical Research; Biomedical Technology; Caring; Childhood; Clinical; Clinical Trials; Complex; Computer software; Data; Data Analyses; Data Set; Development; Dropout; Drug Addiction; Effectiveness; Environmental Risk Factor; Face; Gene Expression; Generic Drugs; Genetic; Guidelines; Individual; Libraries; Linear Models; Linear Regressions; Markov Chains; Measures; Medical Research; Medicine; Methods; Modeling; Outcome; Patients; Performance; Pharmacotherapy; Phenotype; Preventive; Procedures; Process; Proteomics; Resort; Safety; Scientist; Simulate; Solutions; Structure; Testing; Time; analytical tool; base; comparative effectiveness; cytokine; design; effectiveness research; flexibility; health care delivery; patient oriented; rapid growth; response; smoking cessation; software development; therapeutic effectiveness

DESCRIPTION (provided by applicant): The applicant seeks to address the problem of missing values A major challenge for biomedical research comes from the problems of missing values, which may be caused by subjective (e.g., nonresponse and dropout) and technical reasons (e.g., censoring over/below quantization level). Generalized linear models (GLMs) and Generalized Linear Mixed Models (GLMMs) are popularly applied in biomedical data analysis where a fundamental task is to identify a subset of independent variables (e.g., genetic, proteomic, behavioral, or environmental factors) to interpret or predict a dependent variable (e.g., therapeutic effectiveness and safety). Given an incomplete data set, practitioners may needlessly resort to the strategy of case-deletion where individuals are excluded from consideration if they miss any of the variables targeted for analysis. This method would not only sacrifice useful information, but also give rise to biased estimates because it requires strong assumptions to accept the missingness mechanisms. A more satisfactory solution for missing data problems involves multiple imputation, where several imputations are created for the same set of missing values. Across multiply imputed data sets, however, traditional variable selection methods (based on significance tests or likelihood criteria) often result in models with different selected predictors, thus presenting a problem of combining the models to make final inferences. In this R01 proposal, we aim to develop alternative strategies of variable selection for GLMs with missing values by drawing on a Bayesian framework. One approach called "impute, then select" (ITS) involves initially performing multiple imputation and then applying Bayesian variable selection to the multiply imputed data sets. The second strategy - "simultaneously impute and select" (SIAS) - conducts Bayesian variable selection and missing data imputation simultaneously within one Markov Chain Monte Carlo (MCMC) process. ITS and SIAS offer two generic frameworks within which various Bayesian variable selection algorithms and missing data imputation algorithms can be implemented. The strategies will be extended to handle complex data sets such as those with multi-level design structures and/or large number of variables. The strategies will be developed, evaluated, and implemented into an R library for normal, binomial/multinomial, and Poisson regression models with mixed categorical and continuous explanatory variables. Simulated and practical data sets from studies on childhood autism and drug dependence will be used to address the effectiveness and flexibility of the proposed strategies.

描述（由申请人提供）：申请人寻求解决缺失值问题生物医学研究的一个主要挑战来自缺失值问题，这可能是由主观（例如，无响应和退出）和技术原因（例如，审查高于/低于量化水平）引起的。广义线性模型 (GLM) 和广义线性混合模型 (GLMM) 广泛应用于生物医学数据分析，其基本任务是确定自变量的子集（例如遗传、蛋白质组、行为或环境因素）来解释或预测因变量（例如治疗有效性和安全性）。鉴于数据集不完整，从业者可能不必要地诉诸案例删除策略，如果个人错过了任何分析目标变量，则将其排除在考虑范围之外。这种方法不仅会牺牲有用的信息，而且还会产生有偏差的估计，因为它需要强有力的假设来接受缺失机制。对于缺失数据问题，更令人满意的解决方案涉及多重插补，即为同一组缺失值创建多个插补。然而，在多重插补数据集中，传统的变量选择方法（基于显着性检验或似然标准）通常会产生具有不同选定预测变量的模型，从而提出了组合模型以做出最终推论的问题。 在这个 R01 提案中，我们的目标是通过利用贝叶斯框架为具有缺失值的 GLM 开发变量选择的替代策略。一种称为“插补，然后选择”(ITS) 的方法涉及首先执行多重插补，然后将贝叶斯变量选择应用于多重插补数据集。第二种策略——“同时插补和选择”（SIAS）——在一个马尔可夫链蒙特卡罗（MCMC）过程中同时进行贝叶斯变量选择和缺失数据插补。 ITS 和 SIAS 提供了两个通用框架，可以在其中实现各种贝叶斯变量选择算法和缺失数据插补算法。这些策略将扩展到处理复杂的数据集，例如具有多级设计结构和/或大量变量的数据集。这些策略将被开发、评估并实施到 R 库中，用于具有混合分类和连续解释变量的正态、二项式/多项式和泊松回归模型。来自儿童自闭症和药物依赖研究的模拟和实际数据集将用于解决拟议策略的有效性和灵活性。