Συμβολή στην κατασκευή και την αξιολόγηση παραγοντικών σχεδιασμών για εφαρμογές στη βιομηχανία και τις βιοεπιστήμες
Contributions in the construction and evaluation of factorial designs for applications in industry and biosciences
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Keywords
Ορθογώνιοι σχηματισμοί ; J χαρακτηριστικά ; Ομαδοποίηση (blocking) ; Γενικευμένη ελάχιστη απόκλιση ; Γενικευμένο διάνυσμα μήκους λέξης ; Γραμμικό-τετραγωνικό σύστημα βωβών μεταβλητώνAbstract
In the present doctoral thesis, we study the construction of efficient factorial designs, which can be used in medical, agricultural, and industrial experiments. Our main tools in this scientific subject, were the J characteristics of two – level designs, as defined by Deng and Tang (1999), as well as the Generalized Minimum Aberration (GMA) criterion. We present new methodology for the construction of efficient n x k block two level designs with n≡0 mod 4 and k≤5, using two or even four blocks treatments. We also generalize the concept of J characteristics to be used in three level designs, and we construct three – level designs with (generalized) minimum aberration with k≤5 factors and for any number of runs which is a multiple of 9.