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Adelaide Research and Scholarship
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Research Centres
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Centre for Automotive Safety Research (CASR)
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CASR Publications
Permanent link to this item:
http://hdl.handle.net/2440/22689
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| Type: | Article |
| Title: | Beyond interaction: theories |
| Author: | Hutchinson, Paul |
| Citation: | Quality and Quantity, 2006; 40 (5):869-878 |
| Publisher: | Springer |
| Issue Date: | 2006 |
| School/Discipline: | Centre for Automotive Safety Research (CASR) |
| 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/ |
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| Appears in Collections: | CASR Publications
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