Λατινικοί υπερκύβοι και computer experiments
Latin hypercubes and computer experiments
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Keywords
Computer experiments ; Μοντελοποίηση ; Πειράματα ; Πειραματικοί σχεδιασμοί ; Λατινικοί υπερκύβοιAbstract
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.