Λατινικοί υπερκύβοι και computer experiments
Latin hypercubes and computer experiments
Κλάρα, Χρυσούλα Ι.
KeywordsComputer experiments ; Μοντελοποίηση ; Πειράματα ; Πειραματικοί σχεδιασμοί ; Λατινικοί υπερκύβοι
The purpose of this thesis is the study and the presentation of Latin hypercube designs, so that the reader can understand the usefulness of these flexible and economic designs in computer experiments. Then some evaluation criteria are presented, as well as some modelling techniques, so that it is possible for the experimenter to choose the appropriate design according to the needs of the experiment which is conducted. More specifically, this thesis comprises the study, evaluation and selection of Latin hypercube designs in computer experiments giving more attention to orthogonal Latin hypercube designs. It consists of four chapters, the first of which refers to some basic information about experimental designs and computer experiments , while Latin hypercube designs are mentioned for first time. Then, in the second chapter some modelling techniques are presented for this kind of experiments, as well as some criteria for choosing the best design in which the data collection will be based. In the third chapter, it is proposed various methods for the construction of the orthogonal Latin hypercubes, while closing in the fourth chapter a computer experiments is conducted using an orthogonal Latin hypercube of 16 runs and 44 factor in order to better understand the process that someone have to follow to conduct a computer experiment.