On the detectability of different forms of interaction in regression models |
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Authors: | Email author" target="_blank">Juxin?LiuEmail author Paul?Gustafson |
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Institution: | 1.Department of Mathematics and Statistics,University of Saskatchewan,Saskatchewan,Canada;2.Department of Statistics,University of British Columbia,Vancouver,Canada |
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Abstract: | 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). |
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Keywords: | |
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