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Latent variable models for multivariate dyadic data with zero inflation: analysis of intergenerational exchanges of family support

Kuha, Jouni ORCID: 0000-0002-1156-8465, Zhang, Siliang ORCID: 0000-0002-2641-4944 and Steele, Fiona ORCID: 0000-0001-6417-7444 (2023) Latent variable models for multivariate dyadic data with zero inflation: analysis of intergenerational exchanges of family support. Annals of Applied Statistics, 17 (2). 1521 - 1542. ISSN 1932-6157

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Identification Number: 10.1214/22-AOAS1680

Abstract

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 propose 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 exchanges of help between adult individuals and their non-coresident parents, using survey data from the UK Household Longitudinal Study.

Item Type: Article
Official URL: https://projecteuclid.org/journals/annals-of-appli...
Additional Information: © 2023 Institute of Mathematical Statistics.
Divisions: Statistics
Subjects: H Social Sciences > HA Statistics
Date Deposited: 17 Aug 2022 09:54
Last Modified: 07 Oct 2024 05:06
URI: http://eprints.lse.ac.uk/id/eprint/116006

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