The University of Adelaide CENTRE FOR AUTOMOTIVE SAFETY RESEARCH

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Publication Details

TitleBeyond interaction: theories
AuthorsHutchinson TP
Year2006
TypeJournal Article
AbstractAn interaction between two factors in their effects on a dependent variable is here modelled as (first) summation of quantities derived from the two factors individually, and

(second) a nonlinear relation between that sum and the dependent variable. There are only a few possible nonlinear functions that need to be considered. The dataset used as an example is a 3 x 3 table showing crossover interaction. The proposed explanation uses a quadratic curve (which has a descending limb and an ascending limb) to achieve reversal of the effect of one factor for some categories of the other factor.

Journal TitleQuality & Quantity
Journal Volume (Issue)40(5)
Page Range869-878

Reference
Hutchinson TP (2006) 'Beyond interaction: theories', Quality & Quantity, 40(5), pp 869-878.