10081 IUPAC Gold Book - resolution of a design 10.1351/goldbook.10081 10081 current synonym: resolution 1 One more than the smallest nth-order interaction effect that some main effect is aliased with. Resolution is used to describe the extent to which fractional-factorial designs create aliased effects. The resolution is written as a Roman numeral. Full-factorial designs have no effects that are aliased and therefore have infinite resolution. For resolution III designs the main effects are aliased with two-factor interactions. For resolution IV designs no main effects are aliased with two-factor interactions, but two-factor interactions are aliased with each other. For resolution V designs no main effect or two-factor interaction is aliased with any other main effect or two-factor interaction, but two-factor interactions are aliased with three-factor interactions. Full factorial designs https://goldbook.iupac.org//terms/view/10074 aliased effects https://goldbook.iupac.org//terms/view/10066 fractional-factorial designs https://goldbook.iupac.org//terms/view/10073 main effect https://goldbook.iupac.org//terms/view/10076 n^th-order interaction effect https://goldbook.iupac.org//terms/view/10075 PAC, 2016, 88, 407. 'Vocabulary of concepts and terms in chemometrics (IUPAC Recommendations 2016)' on page 417 (https://doi.org/10.1515/pac-2015-0605) https://goldbook.iupac.org/terms/view/10081/html https://goldbook.iupac.org/terms/view/10081/json https://goldbook.iupac.org/terms/view/10081/plain Citation: 'resolution of a design' 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.10081 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. 2026-07-27T08:33:51+00:00