Development of a Mathematical Model of the Interrelation between the Technological Parameters of the Synthesis and Properties of Foamed Glass Materials

Abstract

For optimal experimental design and development of a mathematical model of the relationship between the technological parameters of synthesis and the properties of foam glass materials, statistical methods were used to design an experiment with a mathematical description in the form of a polynomial. A fractional factorial experiment was carried out, multivariate regression models of linear structure were constructed and analyzed, the Pareto model for standardized model variables, the Pareto curve of the dependence of the response function on independent variables, a histogram of the predicted values of the independent variables and their influence on the effective factor, the dispersion model of the indicator values, the projection of the relationship of factors with a dependent variable, the mathematical equation of the relationship of factors and the effective indicator of the response function.