Title: full-factorial design
Long Title: IUPAC Gold Book - full-factorial design
DOI: 10.1351/goldbook.10074
Status: current

Definition
Experimental design with all possible combinations of factor levels.

Note
If there are \(k\) factors, each at \(L\) levels, a full-factorial design has \(L^{k}\) runs.

Related Terms
- Experimental design: https://goldbook.iupac.org//terms/view/10071
- factor levels: https://goldbook.iupac.org//terms/view/10072

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/10074/html
- json: https://goldbook.iupac.org/terms/view/10074/json
- xml: https://goldbook.iupac.org/terms/view/10074/xml

Citation: Citation: 'full-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.10074
License: 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.
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Disclaimer: 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.
Accessed: 2026-04-21T08:33:22+00:00