Μελέτη, αξιολόγηση και επιλογή σχεδιασμών κρησαρίσματος δύο επιπέδων σε παραγοντικά πειράματα = Evaluation and selection of two level screening designs for factorial experiments
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Abstract
The purpose of this Thesis is to study and present screening designs comprehensibly, so that the reader will be fully aware of the necessity of design in industry, and the way in which these designs are used in factorial experiments. Further, the evaluation criteria of the screening designs are presented, so that it is possible to choose the optimum format for the experiments conducted. This Thesis comprises the study, evaluation and selection of two level screening design which were applied to factorial experiments. Our Thesis consists of four chapters. The first chapter contains basic information about the screening designs. In the second chapter we examine and study all the inequivalent projections of inequivalent Hadamard matrices of orders 16 and 20 into k =3, 4 and 5 dimensions, as well as their frequencies. In the third chapter two well-known statistical criteria are applied to the classification of Hadamard designs. The projective properties of Hadamard matrices are also studied. Finally, in the fourth chapter, screening designs are considered in practice.