Understanding Dyad, Person, and Contextual Effects in Dyadic Analysis

Robert E. Wickham
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Robert E. Wickham: Northern Arizona University

No 35p6r, OSF Preprints from Center for Open Science

Abstract: Several interesting variations on the Common Fate Model (CFM) for dyadic analysis have emerged over the past decade. For instance, the multilevel-CFM is characterized by directional paths between Person level observed X and Y variables in addition to the Dyad level direct path between the corresponding latent variables. Although this model appears to provide a decomposition of the Y on X regression into Dyad and Person level components, close examination reveals that this specification yields a Dyad level coefficient that captures the contextual effect, or the discrepancy in the between- and within-cluster coefficients. The present work elucidates key features of the multilevel-CFM that produce the contextual effect parametrization, and introduces an alternative specification, the between-within-CFM that yields a decomposition of the Y on X regression consistent with the general multilevel SEM literature. These variations on the CFM are illustrated using empirical examples, supported by syntax for commonly used SEM software.

Date: 2023-01-04
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Persistent link: https://EconPapers.repec.org/RePEc:osf:osfxxx:35p6r

DOI: 10.31219/osf.io/35p6r

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