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Marginal Nested Interactions for Contingency Tables

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  • Manuela Cazzaro
  • Roberto Colombi

Abstract

We introduce a new definition of generalized marginal interactions, called marginal nested interactions, which includes baseline, local, continuation and reverse continuation logits and odds ratios as special cases. The significant aspect of this definition is the inclusion of new types of logits and odds ratios that can handle non-ordinal, ordinal and partially ordered categorical variables in a flexible and appropriate way. It is proved also that the marginal nested interactions define a saturated model of a multi-way contingency table.

Suggested Citation

  • Manuela Cazzaro & Roberto Colombi, 2014. "Marginal Nested Interactions for Contingency Tables," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 43(13), pages 2799-2814, July.
    • Handle: RePEc:taf:lstaxx:v:43:y:2014:i:13:p:2799-2814
    DOI: 10.1080/03610926.2012.685550
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    Cited by:

    1. Colombi, Roberto, 2020. "Selection tests for possibly misspecified hierarchical multinomial marginal models," Econometrics and Statistics, Elsevier, vol. 16(C), pages 136-147.
    2. Federica Nicolussi & Manuela Cazzaro, 2020. "Context-specific independencies in hierarchical multinomial marginal models," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 29(4), pages 767-786, December.

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