Please use this identifier to cite or link to this item: http://hdl.handle.net/2440/22689
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Type: Journal article
Title: Beyond interaction: theories
Author: Hutchinson, T.
Citation: Quality & Quantity, 2006; 40(5):869-878
Publisher: Kluwer Academic Publ
Issue Date: 2006
ISSN: 0033-5177
1573-7845
Statement of
Responsibility: 
T. P. Hutchinson
Abstract: 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.
Keywords: Factorial experiments; additivity; nonlinearity; ANOVA; crossover interaction
Description: The original publication is available at www.springerlink.com
RMID: 0020061221
DOI: 10.1007/s11135-005-3960-6
Published version: http://www.springerlink.com/content/27301667hu2jw551/
Appears in Collections:Centre for Automotive Safety Research publications

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