Modelling correlation matrices in multivariate data, with application to reciprocity and complementarity of child-parent exchanges of support

Zhang, Siliang ORCID: 0000-0002-2641-4944, Kuha, Jouni ORCID: 0000-0002-1156-8465 and Steele, Fiona ORCID: 0000-0001-6417-7444 (2024) Modelling correlation matrices in multivariate data, with application to reciprocity and complementarity of child-parent exchanges of support. Annals of Applied Statistics, 18 (4). 3024 - 3049. ISSN 1932-6157

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Abstract

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 ex- changes of practical and financial support between adult individuals and their noncoresident parents.

Item Type:	Article
Divisions:	Statistics
Subjects:	H Social Sciences > HA Statistics
Date Deposited:	29 May 2024 15:39
Last Modified:	12 Dec 2024 04:18
URI:	http://eprints.lse.ac.uk/id/eprint/123698

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