Context-specific independencies in hierarchical multinomial marginal models

Federica Nicolussi () and Manuela Cazzaro
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Federica Nicolussi: University of Milano
Manuela Cazzaro: University of Milano Bicocca

Statistical Methods & Applications, 2020, vol. 29, issue 4, No 5, 767-786

Abstract: Abstract This paper focuses on studying the relationships among a set of categorical (ordinal) variables collected in a contingency table. Besides the marginal and conditional (in)dependencies, thoroughly analyzed in the literature, we consider the context-specific independencies holding only in a subspace of the outcome space of the conditioning variables. To this purpose we consider the hierarchical multinomial marginal models and we provide several original results about the representation of context-specific independencies through these models. The theoretical results are supported by an application concerning the innovation degree of Italian enterprises.

Keywords: Context-specific independence; Ordinal variable; Hierarchical multinomial marginal model (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s10260-019-00503-8

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