Regression assessment of the model based on the experimental planning matrix in composite materials’ analysis problems

Abstract

An automated coefficients calculation of the regression model based on the experimental data in the form of a planning matrix is considered. The calculations are based on polynomial regression with possible consideration of the interaction effects between its factors. The application of the Moore – Penrose pseudoinverse matrix for determining the regression equation coefficients is shown. The choice of the calculated planning matrix is carried out taking into account the determination coefficient value and the factors’ calculated matrix rank. Calculation verification is carried out using the rank correlation between the experimental and calculated response functions. The experimental part of the work is given to determine the dependence of fungal resistance and fungicidal properties of filled cement composites on the type and grain size composition of the filler.