Σχεδιασμοί αποκριτικών επιφανειών
Response surface designs
The purpose of this thesis is to study and present response surfaces so that the reader will be fully aware of the necessity of those economic designs in optimization of experimental designs. Further the optimization criteria of those experimental designs are presented so that the experimenter will be able to compare and chose the appropriate (optimal) design, according to the experiment. More specifically, this thesis comprises the study, evaluation and selection of 2nd order design in experiments. It consists of four chapters. First chapter contains basic information about experimental designs and more specifically the response surfaces. In the second chapter, full and fractional factorial designs of the 1st order are presented. Further, in third chapter we examine and study factorial designs of the 2nd order, central composite designs, Box-Behnken designs and a special category of designs, the orthogonal designs. Finally in the fourth chapter we present some design optimization criteria and compare the 2nd order designs with 3,4 and 5 factors respectively.