Ridge Path in Mixtures Experiments: Optimal Result with Restriction on Prediction of Variance

Abstract

In order to evaluate a methodology applied to the ridge analysis in mixing experiments with linear constraints, this article proposes through the construction of a ridge path to obtain the maximum or minimum value of the predicted response under a prediction variance conditioned to a restriction. For this purpose, we considered two experiments mixtures with variables with a lower or upper bound limit. The results were compared with the ones obtained by other methods available in the literature in industrial application. According to the degree of multicollinearity of the variables in each experiment, it was observed that the proposed methodology was efficient to provide predicted response with the value higher than the maximum obtained by existing methods and variance reduced prediction.