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Statistical Models of Association for Comparing Cross-Classifications

Author

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  • Richard Breen

    (Yale University, New Haven, Connecticut, richard.breen@yale.edu)

Abstract

In the analysis of cross-classified data, the quantities of interest are frequently odds ratios. Although odds ratios are functions of the interaction parameters in association models, the usual way of normalizing and identifying these parameters means that their relationship with the odds ratios of interest is indirect. This can lead to interpretative confusions. The author points to the benefits of defining the interaction parameters of a model to have a one-to-one relationship with the odds ratios of interest, thus overcoming problems of interpretation. Three examples are presented to illustrate the argument.

Suggested Citation

  • Richard Breen, 2008. "Statistical Models of Association for Comparing Cross-Classifications," Sociological Methods & Research, , vol. 36(4), pages 442-461, May.
    • Handle: RePEc:sae:somere:v:36:y:2008:i:4:p:442-461
    DOI: 10.1177/0049124107313856
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    Cited by:

    1. Anna Klimova & Tamás Rudas, 2012. "Coordinate-free analysis of trends in British social mobility," Journal of Applied Statistics, Taylor & Francis Journals, vol. 39(8), pages 1681-1691, January.
    2. Erzsébet Bukodi & John H. Goldthorpe & Jouni Kuha, 2017. "The pattern of social fluidity within the British class structure: a topological model," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 180(3), pages 841-862, June.

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