论文标题
多元二元数据中的建模相关矩阵：用于家庭支持的代际交换的潜在变量模型
Modelling Correlation Matrices in Multivariate Dyadic Data: Latent Variable Models for Intergenerational Exchanges of Family Support
论文作者
论文摘要
我们定义了多个连续变量的联合分布的模型，该模型包括一个模型，用于其相关性如何取决于解释变量。这是由社会科学研究问题的动机，并应用于家庭内部的帮助和支持的分析中，在这种情况下，相关性描述了一代人之间的帮助与不同类型的帮助的互补性的互惠。我们提出了一种MCMC程序，用于估算该模型，该模型保持了隐含相关矩阵的积极确定性，并描述了理论结果，该结果证明了这种方法合理并促进了它的有效实施。该模型应用于英国家庭纵向研究的数据，以分析成年人与其非核心父母之间实践和财政支持的交流。
We define a model for the joint distribution of multiple continuous latent variables which includes a model for how their correlations depend on explanatory variables. This is motivated by and applied to social scientific research questions in the analysis of intergenerational help and support within families, where the correlations describe reciprocity of help between generations and complementarity of different kinds of help. We propose an MCMC procedure for estimating the model which maintains the positive definiteness of the implied correlation matrices, and describe theoretical results which justify this approach and facilitate efficient implementation of it. The model is applied to data from the UK Household Longitudinal Study to analyse exchanges of practical and financial support between adult individuals and their non-coresident parents.
