Discharge Rates of Medicare Stroke Patients to Skilled Nursing Facilities: Bayesian Logistic Regression with Unobserved Heterogeneity
Medicare 脑卒中患者转入专业护理机构的比例：含未观测异质性的贝叶斯逻辑回归AI 解读 ↓
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AI 根据所提供的论文材料归类：摘要明确采用逻辑回归建模转入护理机构的二元结果比例，支持离散结果建模方向，分析主要在医院汇总层面。
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Medicare 脑卒中患者转入专业护理机构的比例：含未观测异质性的贝叶斯逻辑回归
- 研究问题
- 医院及市场地区特征与脑卒中患者转入专业护理机构的比例有何关联，如何处理医院间异质性及过多的零转出记录？
- 方法与思路
- 作者将逻辑回归扩展为贝塔—二项层级模型，把协变量纳入第二层分布参数，并进行包含超参数不确定性的贝叶斯推断。
- 材料陈述的贡献
- 摘要称后验比例近似为回归估计与观测比例的加权平均，层级模型更好拟合零记录，并发现两州的关联因素不同。
- 阅读关注点
- 应核对医院层面的计数结构、协变量进入层级模型的方式、过度离散检验，以及零记录拟合和跨州比较的证据。
- 阅读边界
- 仅据版本未注明的 OpenAlex 索引摘要；结果是关联而非已识别的因果效应，摘要未报告效应大小，亦未说明个体选择机制。
原文摘要
We determine factors, both hospital-specific and market area-specific, associated with hospitals' propensities for discharging Medicare stroke patients to skilled nursing facilities (SNF's) in California and Florida. Logistic regression is generalized to the case of a betabinomial, hierarchical model, in which covariate information is included in the hyperparameters of the second-stage beta distribution. It is found that the posterior mean of the proportion discharged to SNF is approximately a weighted average (i.e., shrinkage estimator) of the logistic regression estimator and the observed rate. We develop fully Bayesian inference that takes into account uncertainty about the hyperparameters, and we find that this also allows us to test for overdispersion in a natural way. The number of observed zeros (i.e., hospitals that sent no stroke patients to a SNF) is excessive compared to the number expected from a standard logistic regression model and is fit better by the hierarchical betabinomial model. The factors associated with discharge to SNF differ between California and Florida. In California the case-mix index and percent Medicaid admissions of the hospital, as well as the per capita income for the area and whether there is a rehabilitation facility in the area, are associated with discharge rates to SNF's. In Florida, whether there is a rehabilitation facility in the area is the only factor that exhibits association with discharge rates to SNF's.