Title: interaction effect
Long Title: IUPAC Gold Book - interaction effect
DOI: 10.1351/goldbook.10075
Status: current

Definition
Effect of a factor where the term is the product of two or more factors.

Example
The yield of a synthesis is modelled in terms of the temperature \(T\) and concentration of a reactant \(c\): \[\hat Y = {\hat \beta}_{0} + {\hat \beta}_{1}T + {\hat \beta}_{2}c + {\hat \beta}_{11}T^{2} + {\hat \beta}_{22}c^{2} + {\hat \beta}_{12}Tc\] The estimated coefficient \({\hat \beta}_{12}\) and is the interaction effect of \(T\) and \(c\)

Related Terms
- Effect of a factor: https://goldbook.iupac.org//terms/view/10068
- main effect: https://goldbook.iupac.org//terms/view/10076
- nth-order effect: https://goldbook.iupac.org//terms/view/10078

Source
- PAC, 2016, 88, 407. 'Vocabulary of concepts and terms in chemometrics (IUPAC Recommendations 2016)' on page 415 (https://doi.org/10.1515/pac-2015-0605)

Other Outputs
- html: https://goldbook.iupac.org/terms/view/10075/html
- json: https://goldbook.iupac.org/terms/view/10075/json
- xml: https://goldbook.iupac.org/terms/view/10075/xml

Citation: Citation: 'interaction effect' in IUPAC Compendium of Chemical Terminology, 5th ed. International Union of Pure and Applied Chemistry; 2025. Online version 5.0.0, 2025. 10.1351/goldbook.10075
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Accessed: 2026-08-08T16:05:58+00:00