resolution of a design

synonym: resolution
https://doi.org/10.1351/goldbook.10081

One more than the smallest nth-order interaction effect that some main effect is aliased with.

Notes:
  1. Resolution is used to describe the extent to which fractional-factorial designs create aliased effects.
  2. The resolution is written as a Roman numeral.
  3. Full-factorial designs have no effects that are aliased and therefore have infinite resolution.
Example: 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.
Source:
PAC, 2016, 88, 407. (Vocabulary of concepts and terms in chemometrics (IUPAC Recommendations 2016)) on page 417 [Terms] [Paper]
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. https://doi.org/10.1351/goldbook.10081 RIS BibTex EndNote
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