Generalized linear models with zero-inflation and/or ever-dispersion with covariate measurement errors, methods for longitudinal and clustered data and finite mixture models

具有协变量测量误差的零膨胀和/或不断离散的广义线性模型、纵向和聚类数据的方法以及有限混合模型

• 批准号: 8593-2008
• 负责人: Paul, SudhirRanjan
• 金额: $ 1.38万
• 依托单位: University of Windsor
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2011
• 资助国家: 加拿大
• 起止时间: 2011-01-01 至 2012-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=474415
• 关键词: Generalized; linear; models; zero; inflation

Research will be pursued in a number of related areas in which I have been working in the last several years, such as: generalized linear models, count data, proportions and contingency tables with over/under dispersion, zero-inflated generalized linear models, correlated familial and survey data, survival models, longitudinal data analysis and finite mixture models. Research will also be pursued on inference procedures for generalized linear models, specifically for binomial and Poisson regression models with over dispersion and /or zero-inflation involving missing data, model misspecification and covariate measurement errors. Multivariate binary and Poisson (specifically bivariate Poisson) regression models will be studied. Goodness of fit tests and homogeneity testing has been and will be an important area of research. Epidemiological risk measures, such as, risk difference, risk ratio and relative risks for clustered correlated binary data will be studied and new procedures will be developed and compared. Methods for longitudinal Binary and Poisson data will be studied and new procedures involving GEEs will be developed and compared. Random effects, mixed effects models (GLMMs), and homogeneity testing will be studied in this context. Inference on the choice of variance function in semiparametric methodology, such as quasi-likelihood, extended quasi-likelihood, double extended quasi-likelihood will be studied. Inference procedures for the class of skew-normal ( a model providing specific departure from normality) distributions will be studied. Inference for common odds ratio in several 2x2 contingency tables will be studied. Inference procedures, that is, point and interval estimation and hypothesis testing procedures will be developed and evaluated. Tools, such as, maximum likelihood estimation, quasi-likelihood, extended quasi-likelihood, double extended quasi-likelihood, score tests, likelihood ratio tests and bootstrapp tests will be used and evaluated both theoretically and empirically. Rresearch results have and will have direct impact on varieties of fields of application, such as biology, Epidemiology, medical sciences and Engineering.

研究将继续在一些相关领域，我一直在过去几年中，如：广义线性模型，计数数据，比例和列联表与过/下分散，零膨胀广义线性模型，相关的家庭和调查数据，生存模型，纵向数据分析和有限的混合模型。还将研究广义线性模型的推断程序，特别是具有过度分散和/或零通货膨胀的二项式和泊松回归模型，涉及缺失数据，模型错误设定和协变量测量误差。将研究多元二元和泊松（特别是二元泊松）回归模型。拟合优度检验和同质性检验已经并将成为一个重要的研究领域。流行病学的风险措施，如风险差，风险比和相对风险的聚类相关的二进制数据将进行研究和新的程序将开发和比较。将研究纵向二元和泊松数据的方法，并开发和比较涉及GEE的新程序。随机效应，混合效应模型（GLP-S），和同质性检验将在这种情况下进行研究。研究半参数方法中方差函数的选择，如拟似然、扩展拟似然、双扩展拟似然等的推论。将研究偏态正态（一种提供特定偏离正态分布的模型）分布类的推断程序。将研究几个2x2列联表中常见比值比的推断。推理程序，即点和区间估计和假设检验程序将被开发和评估。将使用最大似然估计、准似然、扩展准似然、双重扩展准似然、得分检验、似然比检验和自举检验等工具，并从理论和经验上进行评价。研究成果已经并将对生物学、流行病学、医学和工程学等应用领域产生直接影响。