10066 IUPAC Gold Book - aliased effects 10.1351/goldbook.10066 10066 current synonym: confounded effects 1 In a fractional-factorial design, effects for which the information obtained are identical. In a two-level design, the product of the coded levels for the aliased effects are equal. If there are four factors in a design: \(\rm{A,\ B,\ C,\ D}\) then the main effect of \(\rm{A}\) can be aliased with the three-way effect \(\rm{B} \times \rm{C} \times \rm{D}\). So for the run that has \(\rm{B} = -1\), \(\rm{C} = -1\), \(\rm{D} = +1\), then \(\rm{A}\) must \(= +1\). effects https://goldbook.iupac.org//terms/view/10068 fractional-factorial design https://goldbook.iupac.org//terms/view/10073 PAC, 2016, 88, 407. 'Vocabulary of concepts and terms in chemometrics (IUPAC Recommendations 2016)' on page 413 (https://doi.org/10.1515/pac-2015-0605) https://goldbook.iupac.org/terms/view/10066/html https://goldbook.iupac.org/terms/view/10066/json https://goldbook.iupac.org/terms/view/10066/plain Citation: 'aliased effects' 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.10066 The IUPAC Gold Book is licensed under Creative Commons Attribution-ShareAlike CC BY-SA 4.0 International (https://creativecommons.org/licenses/by-sa/4.0/) for individual terms. If you are interested in licensing the Gold Book for commercial use, please contact the IUPAC Executive Director at executivedirector@iupac.org . The International Union of Pure and Applied Chemistry (IUPAC) is continuously reviewing and, where needed, updating terms in the Compendium of Chemical Terminology (the IUPAC Gold Book). Users of these terms are encouraged to include the version of a term with its use and to check regularly for updates to term definitions that you are using. 2026-04-21T09:41:05+00:00