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Interactions in contingency tables: a brief discussion of alternative definitions

Published online by Cambridge University Press:  09 July 2009

B. S. Everitt*
Affiliation:
Biometrics Unit, Institute of Psychiatry, London
A. M. R. Smith
Affiliation:
Biometrics Unit, Institute of Psychiatry, London
*
1Address for correspondence: Dr B. S. Everitt, Biometrics Unit, Institute of Psychiatry, De Crespigny Park, Denmark Hill, London SE5 8AF.

Synopsis

The purpose of this note is to indicate how the disagreement between Tennant & Bebbington and Brown & Harris has arisen. The difference between the 2 pairs of authors is due, at least in part, to their use of different models for the analysis of the data in question. There can be no final answer as to which model is correct – the data are simply open to more than one interpretation. Nevertheless, it is interesting that the use of a multiplicative model, seemingly ignored by Brown & Harris, leads to a simple description of the data in which the ‘vulnerability factor’ and the ‘provoking agent’ may be considered to act independently on the response. Consequently, in stating that their data contain an interaction so obvious that it can be detected by ‘visual inspection’, Brown & Harris may have been somewhat rash.

Type
Brief Communication
Copyright
Copyright © Cambridge University Press 1979

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References

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