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For a three-component system, regression models can be generally set in the form of polynomials which are usually defined by the following Scheffé canonical forms: a) linear model, b) square model, c) incomplete cube model, d) complete cube model, e) incomplete quartic model, f) complete quartic model. From a lot of models that meet the adequacy requirement it is necessary to choose a model with a rational number of variables for the purpose of easy interpretation and practical application of the model. The paper presents the criteria for evaluation of the model quality and selection of the “optimal” model composition with a “rational” number of variables.

Selection of the optimal mathematical model of multiple regression in the ternary mixture experiments