A smoothed ANOVA model for multivariate ecological regression
A smoothed ANOVA model for multivariate ecological regression
复制标题
多元生态回归的平滑方差分析模型
DOI：
10.1007/s00477-013-0782-2
复制
发表时间：
2014
影响因子：
4.2
通讯作者：
L. Palència
中科院分区：
文献类型：
--
作者：
M. Marí;M. Martínez;M. Gotsens;L. Palència
平滑方差分析（SANOVA）最近已被提出进行疾病绘图。这种方法的主要优点是概念简单，易于解释。此外，它使我们能够提前确定特别感兴趣的疾病的组合，并对它们进行具体的推断。在本文中，我们提出了一个重新制定的SANOVA在生态回归研究的背景下。该建议考虑以非参数方式将一个（或多个）协变量引入模型，解释结果变量的某些预先指定的组合。此外，还纳入了随机效应，以便对协变量无法解释的结局变量组合中的地理变异进行建模。最后，该模型允许将一组结果变量中的方差分解为不同的正交分量，量化每个分量的贡献。该模型适用于死亡率的地理分析，由于恶性胃肿瘤的妇女居民在巴塞罗那市（西班牙）。可用的结果变量是分为两个时间段的死亡，社会经济贫困指数作为协变量。该模型已通过INLA，贝叶斯统计的一种新的推理工具。
Smoothed analysis of variance (SANOVA) has recently been proposed for carrying out disease mapping. The main advantage of this approach is its conceptual simplicity and ease of interpretation. Moreover, it allows us to fix the combination of diseases of particular interest in advance and to make specific inferences about them. In this paper we propose a reformulation of SANOVA in the context of ecological regression studies. This proposal considers the introduction in a non-parametric way of one (or several) covariate(s) into the model, explaining some pre-specified combinations of the outcome variables. In addition, random effects are also incorporated in order to model geographical variation in the combinations of outcome variables not explained by the covariate. Lastly, the model permits the decomposition of the variance in the set of outcome variables into different orthogonal components, quantifying the contribution of every one of them. The proposed model is applied to the geographical analysis of mortality due to malignant stomach neoplasm among women resident in the city of Barcelona (Spain). The available outcome variables are deaths grouped into two time periods, and a socioeconomic deprivation index is included as a covariate. The model has been implemented through INLA, a novel inference tool for Bayesian statistics.
具有空间效应的平滑方差分析是多变量空间平滑中 MCAR 的竞争对手。
DOI：
10.1214/09-aoas267
发表时间：
2009
期刊：
The annals of applied statistics
影响因子：
--
作者：
Zhang,Yufen;Hodges,JamesS;Banerjee,Sudipto
通讯作者：
Banerjee,Sudipto