The covariance structure and likelihood function for multivariate dyadic data
Abstract
This paper extends the results in Li and Loken [A unified theory of statistical analysis and inference for variance component models for dyadic data, Statist. Sinica 12 (2002) 519-535] on the statistical analysis of measurements taken on dyads to the situations in which more than one attribute are measured on each dyad. Starting from the covariance structure for the univariate case obtained in Li and Loken (2002), the covariance structure for the multivariate case is derived based on the group symmetry induced by the assumed exchangeability in the units. Our primary objective is to document the Gaussian likelihood and the sufficient statistics for multivariate dyadic data in closed form, so that they can be referenced by researchers as they analyze those data. The derivation carried out can also serve as an example of multivariate extension of univariate models based on exchangeability.Download Info
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Article provided by Elsevier in its journal Journal of Multivariate Analysis.
Volume (Year): 97 (2006)
Issue (Month): 6 (July)
Pages: 1263-1271
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Related research
Keywords: Diallel design EM algorithm Exchangeability Maximum likelihood Patterned covariance Social relations model;References
References listed on IDEASPlease report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Li, Heng, 2002. "Likelihood-based quadratic analyses for diallel cross and other experiments involving data collected on ordered pairs of sampling units," Statistics & Probability Letters, Elsevier, vol. 58(1), pages 61-69, May.
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