Regression analysis of a ternary alloys system

Abstract

In the mechanical and electrical properties of alloys research process an important role is three-component systems. Regression analysis allows that on the basis of experimental results define mathematical models depending on the size of the mole fraction of the individual components of the mixture. This paper presents an algorithm for the selection, evaluation and diagnosis of optimal mathematical model for the three-component system which contains following stages: • Input of experimental data • The summary statistics ofpossible mathematical models • Choice of stochastic models • ANOVA analysis - assessment ofthe significance ofthe model • Checking the adequacy ofthe mathematical model • The interval estimate of model parameters • Diagnostic models and, if necessary, the transformation model • Interval estimation of regression function • Graphic interpretation and interpretation ofthe model.