model

in experimental design
https://doi.org/10.1351/goldbook.10077

Equation describing the response as a function of values of the factors.

Notes:
  1. The model can be based on knowledge of the chemistry or physics of the system, but usually the model is empirical, being linear or quadratic with interaction terms.
  2. To obtain information about the significance of effects, data is usually mean centered and assessed against a coded experimental design.
Example: The yield of a synthesis is modelled in terms of the temperature \(T\) and concentration of a reactant \(c\): \[\hat Y = {\hat \beta}_{0} + {\hat \beta}_{1}T + {\hat \beta}_{2}c + {\hat \beta}_{11}T^{2} + {\hat \beta}_{22}c^{2} + {\hat \beta}_{12}Tc\]
Source:
PAC, 2016, 88, 407. (Vocabulary of concepts and terms in chemometrics (IUPAC Recommendations 2016)) on page 415 [Terms] [Paper]