An 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 × 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.
Quality & Quantity – Springer Journals
Published: Oct 11, 2005
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