Statistical Design of Experiments

Overview of the subject, random errors, random variables, random sampling, determinate and indeterminate errors and their analyses.

Systematic planning of experiments, methods for analysis of experimental results. General linear model ANOVA, and model checking Factorial Designs: The 2k Factorial Design, blocking and confounding in the 2k factorial design, introduction to two and three-level fractional factorial design.

linear and nonlinear regression, general Linear Models and methods for fitting, validating and testing Response surface methods: Introduction to response surface methods and experiments with random factors Strategies for experimental design with examples

Presentation of experimental data, discrete, continuous and normal probability density functions, standard probability distribution functions: Normal, Student’s T, chi-square and F distributions

Introduction to Response Surface Methodology, the Method of Steepest Ascent, Experimental Designs for Fitting Response Surfaces- Designs for Fitting the First-Order Model, Designs for Fitting the Second-Order Model, Evolutionary Operation. Advanced topics in design of experiments