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Variable Selection With Prior Information for Generalized Linear Models via the Prior LASSO Method

利用先验信息的广义线性模型变量选择:prior LASSO

LASSO is a popular statistical tool often used in conjunction with generalized linear models that can simultaneously select variables and estimate parameters. When there are many variables of interest, as in current biological and biomedical studies, the power of LASSO can be limited. Fortunately, so much biological and biomedical data have been collected and they may contain useful information about the importance of certain variables. This paper proposes an extension of…

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Identifying Genetic Variants for Addiction via Propensity Score Adjusted Generalized Kendall’s Tau

利用倾向得分调整的广义 Kendall’s Tau 识别成瘾遗传变异

Identifying replicable genetic variants for addiction has been extremely challenging. Besides the common difficulties with genome-wide association studies (GWAS), environmental factors are known to be critical to addiction, and comorbidity is widely observed. Despite the importance of environmental factors and comorbidity for addiction study, few GWAS analyses adequately considered them due to the limitations of the existing statistical methods. Although parametric methods…

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Nonparametric Covariate-Adjusted Association Tests Based on the Generalized Kendall's Tau

基于广义 Kendall’s tau 的非参数协变量调整关联检验

Identifying the risk factors for comorbidity is important in psychiatric research. Empirically, studies have shown that testing multiple, correlated traits simultaneously is more powerful than testing a single trait at a time in association analysis. Furthermore, for complex diseases, especially mental illnesses and behavioral disorders, the traits are often recorded in different scales such as dichotomous, ordinal and quantitative. In the absence of covariates,…

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Penalized Bregman divergence for large-dimensional regression and classification

用于高维回归与分类的惩罚 Bregman 散度

Regularization methods are characterized by loss functions measuring data fits and penalty terms constraining model parameters. The commonly used quadratic loss is not suitable for classification with binary responses, whereas the loglikelihood function is not readily applicable to models where the exact distribution of observations is unknown or not fully specified. We introduce the penalized Bregman divergence by replacing the negative loglikelihood in the conventional…

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