Strategy of experiment organization. Basic statistical concepts. Classical experimental designs (Factorial design, Box-Behnken, D-optimal). Space filling designs. V.Eglajs experimental design. Latin Hypercube Design. Regression analysis. Parametric and non-parametric approximation methods. Radial basis functions. Response surface methodology. Experimental Designs for fitting of Response surfaces. Filtration of Outliers. Classification of optimization problems. Handling of nonlinear constraints. Deterministic and stochastic global optimization methods (Taboo search, simulated annealing, genetic algorithms, multistart methods). Virtual prototyping of mechanical systems. Metamodelling and optimization by using EDAOpt, ANSYS and ADAMS programs.