On the detectability of different forms of interaction in regression models
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We consider the ability to detect interaction structure from data in a regression context. We derive an asymptotic power function for a likelihood-based test for interaction in a regression model, with possibly misspecified alternative distribution. This allows a general investigation of different types of interactions which are poorly or well detected via data. Principally we contrast pairwise-interaction models with ‘diffuse interaction models’ as introduced in Gustafson et al. (Stat Med 24:2089–2104, 2005).
KeywordsInteraction Misspecified model Score function Wald test-statistic Pairwise interaction models Diffuse interaction models
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- Liu J (2007) Average effects for regression models with misspecifications and diffuse interaction models, Ph.D. thesis, Department of Statistics, University of British ColumbiaGoogle Scholar
- Raftery A, Hoeting J, Volinsky C, Painter I, Yeung KY (2009) BMA: Bayesian Model Averaging, R package version 3.12., http://CRAN.R-project.org/pakcage=BMA
- Raftery A (1995) Bayesian model selection in social research (with Discussion). Sociological Methodology, 25:111–196, Blackwells, Cambridge, MassGoogle Scholar