Συμβολή στην ανάπτυξη τεχνικών και αλγορίθμων για την κατασκευή αποδοτικών παραγοντικών σχεδιασμών
Contributions in the development of techniques and algorithms for the construction of efficient factorial designs
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Keywords
Σχεδιασμοί κρησαρίσματος ; Definitive screening ; Αλγόριθμος επέκτασης ; Γραμμικά μοντέλα τετραγωνικών επιδράσεων ; Τεχνική αναδίπλωσης ; Συσχέτιση ; D–αποδοτικότητα ; Προβολικές ιδιότητες ; Definitive screening designs ; Extension algorithm ; Second order linear models ; Fold-over ; Correlation ; D–efficiency ; Projection propertiesAbstract
In this dissertation, we focus on the study of a significant category of efficient three-level screening designs, known as definitive screening (DS) designs. Over the past 15 years, DS designs have been systematically studied due to their advantages over traditional two-level screening designs. Initially constructed with three zeros per column, DS designs have evolved to include more zeros per column, improving further their efficiency compared to the original DS designs.
We present a methodology for constructing efficient DS designs with minimum correlation between columns representing quadratic effects, for every run order n and two and three columns. We use these designs and an extension algorithm to construct optimal designs with more than three columns. Additionally, we provide complete lists of non-isomorphic DS designs with odd n (13 ≤n≤ 33), 2 ≤ p ≤ (n – 1)/2 columns, and 3, 5, or 7 zeros per column. All constructed designs are evaluated using known criteria to identify the best designs for each n studied.
Department
Σχολή Χρηματοοικονομικής και Στατιστικής. Τμήμα Στατιστικής και Ασφαλιστικής ΕπιστήμηςNumber of pages
115Language
GreekCollections
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Αναφορά Δημιουργού-Μη Εμπορική Χρήση-Όχι Παράγωγα Έργα 3.0 Ελλάδα
Αναφορά Δημιουργού-Μη Εμπορική Χρήση-Όχι Παράγωγα Έργα 3.0 Ελλάδα