10073 IUPAC Gold Book - fractional-factorial design 10.1351/goldbook.10073 10073 current 1 Experimental design obtained from a full-factorial design in which experiments are systematically removed to fulfill stated statistical requirements. The aim of a fractional design is to reduce the number of experiments by confounding low-order effects (e.g. main effect, two-way interaction) with high order interactions, which are assumed to be small. A design, having \(L^{k}\) (see full-factorial design) experiments, is fractionated to \(L^{k - p}\) experiments where \(p\) is an integer \(\lt k\). The choice of design is governed by an alias structure. A fractional-factorial design is incomplete, but all incomplete designs are not fractional factorial. Experimental design https://goldbook.iupac.org//terms/view/10071 Plackett–Burman design https://goldbook.iupac.org//terms/view/10080 alias structure https://goldbook.iupac.org//terms/view/10065 full-factorial design https://goldbook.iupac.org//terms/view/10074 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) https://goldbook.iupac.org/terms/view/10073/html https://goldbook.iupac.org/terms/view/10073/json https://goldbook.iupac.org/terms/view/10073/plain Citation: 'fractional-factorial 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.10073 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. 2026-04-19T08:43:03+00:00