LATENT VARIABLE MODELS FOR MULTIVARIATE DYADIC DATA WITH ZERO INFLATION: ANALYSIS OF INTERGENERATIONAL EXCHANGES OF FAMILY SUPPORT

• 成果类型: Article
• 署名作者: Kuha, Jouni; Zhang, Siliang; Steele, Fiona
• 署名单位: University of London; London School Economics & Political Science; East China Normal University
• 刊物名称: ANNALS OF APPLIED STATISTICS
• ISSN/ISSBN: 1932-6157
• DOI: 10.1214/22-AOAS1680
• 发表日期: 2023
• 页码: 1521-1542
• 关键词: adult children; count data; parents; RECIPROCITY

摘要

Understanding the help and support that is exchanged between family members of different generations is of increasing importance, with research questions in sociology and social policy focusing on both predictors of the levels of help given and received, and on reciprocity between them. We pro-pose general latent variable models for analysing such data, when helping tendencies in each direction are measured by multiple binary indicators of specific types of help. The model combines two continuous latent variables, which represent the helping tendencies, with two binary latent class variables which allow for high proportions of responses where no help of any kind is given or received. This defines a multivariate version of a zero-inflation model. The main part of the models is estimated using MCMC methods, with a bespoke data augmentation algorithm. We apply the models to analyse ex-changes of help between adult individuals and their noncoresident parents, using survey data from the UK Household Longitudinal Study.