{"id":{"repo_id":"greece","oai_identifier":"oai:10442/0226"},"canonical_url":"https://search.dev.ndltd.org/etd/greece/oai:10442/0226","repository":{"repo_id":"greece","name":"Greek National Archive of PhD Theses","base_url":"https://phdtheses.ekt.gr/eadd_oai/request"},"display":{"title":"ΕΙΔΙΚΕΣ ΚΑΤΑΣΚΕΥΕΣ ΒΕΛΤΙΣΤΩΝ ΠΕΙΡΑΜΑΤΙΚΩΝ ΣΧΕΔΙΑΣΜΩΝ","abstract":"CHAP. 1ST: HADAMARD MATRICES OF ORDER N WITH MAXIMUM EXCESS, Σ(N), ARE CONSTRUCTED FOR N=40, 44, 48, 52, 80, 84. THESE GIVE \"ALMOST\" D-OPTIMAL SATURATED DESIGNS WHEN THE NUMBER OF OBSERVATIONS IS = 1 MOD 4. ALGORITHMS ARE GIVEN WHICH ARE COMPUTER IMPLEMENTED. CHAP. 2ND: A NEW METHOD IS GIVEN FOR CONSTRUCTING D-OPTIMAL WEIGHING DESIGNS WHEN N=3 MOD 4. A MATRIX OF THE GOETHALS-SEIDEL TYPE IS EMPLOYED AND THE CIRCULANT BLOCKS CONSIST OF CIRCULAR MATRICES. THE NEW DESIGNS, SO CONSTRUCTED FOR N < 100 ARE: (Ν, Κ, S)=(23,15,11), (23,16,9), (35,23,11), (35,24,11), (39,23,17), (39,24,12), (39,24,13), (47,29,14), (47,29,15), (47,30,13), (55,31,23), (55,32,16), (55,32,17), (59,36,16), (59,39,12), (59,40,11), (59,41,11), (71,39,29), (71,40,20), (71,40,21), (71,41,20), (71,41,21), (71,42,19), (83,47,24), (83,48,21), (87,47,35), (87,48,24), (87,48,25), (95,53,26), (95,53,27), (83,56,12), (83,55,12).","abstract_html":"CHAP. 1ST: HADAMARD MATRICES OF ORDER N WITH MAXIMUM EXCESS, Σ(N), ARE CONSTRUCTED FOR N=40, 44, 48, 52, 80, 84. THESE GIVE &quot;ALMOST&quot; D-OPTIMAL SATURATED DESIGNS WHEN THE NUMBER OF OBSERVATIONS IS = 1 MOD 4. ALGORITHMS ARE GIVEN WHICH ARE COMPUTER IMPLEMENTED. CHAP. 2ND: A NEW METHOD IS GIVEN FOR CONSTRUCTING D-OPTIMAL WEIGHING DESIGNS WHEN N=3 MOD 4. A MATRIX OF THE GOETHALS-SEIDEL TYPE IS EMPLOYED AND THE CIRCULANT BLOCKS CONSIST OF CIRCULAR MATRICES. THE NEW DESIGNS, SO CONSTRUCTED FOR N &lt; 100 ARE: (Ν, Κ, S)=(23,15,11), (23,16,9), (35,23,11), (35,24,11), (39,23,17), (39,24,12), (39,24,13), (47,29,14), (47,29,15), (47,30,13), (55,31,23), (55,32,16), (55,32,17), (59,36,16), (59,39,12), (59,40,11), (59,41,11), (71,39,29), (71,40,20), (71,40,21), (71,41,20), (71,41,21), (71,42,19), (83,47,24), (83,48,21), (87,47,35), (87,48,24), (87,48,25), (95,53,26), (95,53,27), (83,56,12), (83,55,12).","abstract_has_math":false,"creators":["Farmakis, Nikolaos","Φαρμάκης, Νικόλαος"],"institution":"Aristotle University Of Thessaloniki (AUTH)","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":1986,"date_issued":"1986","date_published":"1986","updated_at":"2026-07-24T02:25:08Z","subjects":["Απόκριση","ΒΑΡΟΣ ΠΙΝΑΚΑ","ΒΕΛΤΙΣΤΟΣ","ΚΥΚΛΙΚΟΣ ΠΙΝΑΚΑΣ","ΠΑΡΑΓΟΝΤΑΣ","ΠΑΡΑΓΟΝΤΙΚΟΣ","Παράμετρος","Πειραματικοί σχεδιασμοί","Πίνακας Hadamard","ΣΤΑΘΜΕΣ","Στατιστική","ΥΠΕΡΟΧΗ ΠΙΝΑΚΑ","CIRCULAR MATRIX","EXCESS OF A MATRIX","Experimental designs","FACTOR","LEVELS","OPTIMAL","Response","WEIGHT OF A MATRIX","Φυσικές Επιστήμες","Μαθηματικά","Natural Sciences","Mathematics"],"languages":["gre"],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["10.12681/eadd/0226"],"render_values":[{"text":"10.12681/eadd/0226","href":"https://doi.org/10.12681/eadd/0226","code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/10442/hedi/0226","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Farmakis, Nikolaos","Φαρμάκης, Νικόλαος"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["1986"]},{"key":"dc:publisher","label":"Institution","values":["Aristotle University Of Thessaloniki (AUTH)","Αριστοτέλειο Πανεπιστήμιο Θεσσαλονίκης (ΑΠΘ)"]},{"key":"dc:type","label":"Dc Type","values":["PhD Thesis"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Απόκριση","ΒΑΡΟΣ ΠΙΝΑΚΑ","ΒΕΛΤΙΣΤΟΣ","ΚΥΚΛΙΚΟΣ ΠΙΝΑΚΑΣ","ΠΑΡΑΓΟΝΤΑΣ","ΠΑΡΑΓΟΝΤΙΚΟΣ","Παράμετρος","Πειραματικοί σχεδιασμοί","Πίνακας Hadamard","ΣΤΑΘΜΕΣ","Στατιστική","ΥΠΕΡΟΧΗ ΠΙΝΑΚΑ","CIRCULAR MATRIX","EXCESS OF A MATRIX","Experimental designs","FACTOR","LEVELS","OPTIMAL","Response","WEIGHT OF A MATRIX","Φυσικές Επιστήμες","Μαθηματικά","Natural Sciences","Mathematics"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["gre"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["10.12681/eadd/0226","http://hdl.handle.net/10442/hedi/0226"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["CHAP. 1ST: HADAMARD MATRICES OF ORDER N WITH MAXIMUM EXCESS, Σ(N), ARE CONSTRUCTED FOR N=40, 44, 48, 52, 80, 84. THESE GIVE \"ALMOST\" D-OPTIMAL SATURATED DESIGNS WHEN THE NUMBER OF OBSERVATIONS IS = 1 MOD 4. ALGORITHMS ARE GIVEN WHICH ARE COMPUTER IMPLEMENTED. CHAP. 2ND: A NEW METHOD IS GIVEN FOR CONSTRUCTING D-OPTIMAL WEIGHING DESIGNS WHEN N=3 MOD 4. A MATRIX OF THE GOETHALS-SEIDEL TYPE IS EMPLOYED AND THE CIRCULANT BLOCKS CONSIST OF CIRCULAR MATRICES. THE NEW DESIGNS, SO CONSTRUCTED FOR N < 100 ARE: (Ν, Κ, S)=(23,15,11), (23,16,9), (35,23,11), (35,24,11), (39,23,17), (39,24,12), (39,24,13), (47,29,14), (47,29,15), (47,30,13), (55,31,23), (55,32,16), (55,32,17), (59,36,16), (59,39,12), (59,40,11), (59,41,11), (71,39,29), (71,40,20), (71,40,21), (71,41,20), (71,41,21), (71,42,19), (83,47,24), (83,48,21), (87,47,35), (87,48,24), (87,48,25), (95,53,26), (95,53,27), (83,56,12), (83,55,12).","ΚΕΦ. 1: ΚΑΤΑΣΚΕΥΑΖΟΝΤΑΙ ΠΙΝΑΚΕΣ HADAMARD ΜΕ ΜΕΓΙΣΤΗ ΥΠΕΡΟΧΗ, Σ(Ν), ΓΙΑ Ν=40, 44, 48, 52, 80, 84. ΑΥΤΟ ΟΔΗΓΕΙ ΣΕ ΚΑΤΑΣΚΕΥΗ \"ΣΧΕΔΟΝ\" D-ΒΕΛΤΙΣΤΩΝ ΚΟΡΕΣΜΕΝΩΝ ΠΕΙΡΑΜΑΤΙΚΩΝ ΣΧΕΔΙΑΣΜΩΝ ΜΕ ΑΡΙΘΜΟ ΠΑΡΑΤΗΡΗΣΕΩΝ = 1 MOD 4. ΔΙΝΟΝΤΑΙ ΚΑΙ ΑΛΓΟΡΙΘΜΟΙ ΧΡΗΣΙΜΟΙ ΚΑΙ ΣΤΟΝ Η/Υ. ΚΕΦ. 2: ΔΙΝΕΤΑΙ ΜΙΑ ΝΕΑ ΜΕΘΟΔΟΣ ΓΙΑ ΚΑΤΑΣΚΕΥΗ D-ΒΕΛΤΙΣΤΩΝ ΠΕΙΡΑΜΑΤΙΚΩΝ ΣΧΕΔΙΑΣΜΩΝ ΟΤΑΝ Ν=3 MOD 4. ΧΡΗΣΙΜΟΠΟΙΕΙΤΑΙ Ο ΠΙΝΑΚΑΣ ΤΥΠΟΥ GOETHALS-SEIDEL ΚΑΙ ΟΙ ΚΥΚΛΙΚΟΙ ΠΙΝΑΚΕΣ (ΜΠΛΟΚ) ΕΧΟΥΝ ΣΤΟΙΧΕΙΑ ΠΑΛΙ ΚΥΚΛΙΚΟΥΣ ΠΙΝΑΚΕΣ. ΤΑ ΝΕΑ ΠΕΙΡΑΜΑΤΙΚΑ D-ΒΕΛΤΙΣΤΑ ΣΧΕΔΙΑ ΠΟΥ ΚΑΤΑΣΚΕΥΑΖΟΝΤΑΙ ΕΙΝΑΙ ΤΥΠΟΥ (Ν, Κ, S) ΟΠΟΥ Ν < 100 Ο ΑΡΙΘΜΟΣ ΤΩΝ ΠΑΡΑΤΗΡΗΣΕΩΝ ΚΑΙ Κ Ο ΑΡΙΘΜΟΣ ΤΩΝ ΠΑΡΑΓΟΝΤΩΝ ΠΟΥ ΠΑΙΡΝΟΥΝ ΜΕΡΟΣ ΣΤΟ ΠΕΙΡΑΜΑ Κ < Ν. S ΤΟ ΠΛΗΘΟΣ ΤΩΝ ΔΙΑΓΩΝΙΩΝ ΜΠΛΟΚ: (Ν, Κ, S)=(23,15,11), (23,16,9), (35,23,11), (35,24,11), (39,23,17), (39,24,12), (39,24,13), (47,29,14), (47,29,15), (47,30,13), (55,31,23), (55,32,16), (55,32,17), (59,36,16), (59,39,12), (59,40,11), (59,41,11), (71,39,29), (71,40,20), (71,40,21), (71,41,20), (71,41,21), (71,42,19), (83,47,24), (83,48,21), (87,47,35), (87,48,24), (87,48,25), (95,53,26), (95,53,27), (83,56,12), (83,55,12)."]},{"key":"dc:title","label":"Title","values":["ΕΙΔΙΚΕΣ ΚΑΤΑΣΚΕΥΕΣ ΒΕΛΤΙΣΤΩΝ ΠΕΙΡΑΜΑΤΙΚΩΝ ΣΧΕΔΙΑΣΜΩΝ","SPECIAL CONSTRUCTIONS OF OPTIMAL EXPERIMENTAL DESIGNS"]}]}],"canonical_facts":{"dc:creator":["Farmakis, Nikolaos","Φαρμάκης, Νικόλαος"],"dc:date":["1986"],"dc:description":["CHAP. 1ST: HADAMARD MATRICES OF ORDER N WITH MAXIMUM EXCESS, Σ(N), ARE CONSTRUCTED FOR N=40, 44, 48, 52, 80, 84. THESE GIVE \"ALMOST\" D-OPTIMAL SATURATED DESIGNS WHEN THE NUMBER OF OBSERVATIONS IS = 1 MOD 4. ALGORITHMS ARE GIVEN WHICH ARE COMPUTER IMPLEMENTED. CHAP. 2ND: A NEW METHOD IS GIVEN FOR CONSTRUCTING D-OPTIMAL WEIGHING DESIGNS WHEN N=3 MOD 4. A MATRIX OF THE GOETHALS-SEIDEL TYPE IS EMPLOYED AND THE CIRCULANT BLOCKS CONSIST OF CIRCULAR MATRICES. THE NEW DESIGNS, SO CONSTRUCTED FOR N < 100 ARE: (Ν, Κ, S)=(23,15,11), (23,16,9), (35,23,11), (35,24,11), (39,23,17), (39,24,12), (39,24,13), (47,29,14), (47,29,15), (47,30,13), (55,31,23), (55,32,16), (55,32,17), (59,36,16), (59,39,12), (59,40,11), (59,41,11), (71,39,29), (71,40,20), (71,40,21), (71,41,20), (71,41,21), (71,42,19), (83,47,24), (83,48,21), (87,47,35), (87,48,24), (87,48,25), (95,53,26), (95,53,27), (83,56,12), (83,55,12).","ΚΕΦ. 1: ΚΑΤΑΣΚΕΥΑΖΟΝΤΑΙ ΠΙΝΑΚΕΣ HADAMARD ΜΕ ΜΕΓΙΣΤΗ ΥΠΕΡΟΧΗ, Σ(Ν), ΓΙΑ Ν=40, 44, 48, 52, 80, 84. ΑΥΤΟ ΟΔΗΓΕΙ ΣΕ ΚΑΤΑΣΚΕΥΗ \"ΣΧΕΔΟΝ\" D-ΒΕΛΤΙΣΤΩΝ ΚΟΡΕΣΜΕΝΩΝ ΠΕΙΡΑΜΑΤΙΚΩΝ ΣΧΕΔΙΑΣΜΩΝ ΜΕ ΑΡΙΘΜΟ ΠΑΡΑΤΗΡΗΣΕΩΝ = 1 MOD 4. ΔΙΝΟΝΤΑΙ ΚΑΙ ΑΛΓΟΡΙΘΜΟΙ ΧΡΗΣΙΜΟΙ ΚΑΙ ΣΤΟΝ Η/Υ. ΚΕΦ. 2: ΔΙΝΕΤΑΙ ΜΙΑ ΝΕΑ ΜΕΘΟΔΟΣ ΓΙΑ ΚΑΤΑΣΚΕΥΗ D-ΒΕΛΤΙΣΤΩΝ ΠΕΙΡΑΜΑΤΙΚΩΝ ΣΧΕΔΙΑΣΜΩΝ ΟΤΑΝ Ν=3 MOD 4. ΧΡΗΣΙΜΟΠΟΙΕΙΤΑΙ Ο ΠΙΝΑΚΑΣ ΤΥΠΟΥ GOETHALS-SEIDEL ΚΑΙ ΟΙ ΚΥΚΛΙΚΟΙ ΠΙΝΑΚΕΣ (ΜΠΛΟΚ) ΕΧΟΥΝ ΣΤΟΙΧΕΙΑ ΠΑΛΙ ΚΥΚΛΙΚΟΥΣ ΠΙΝΑΚΕΣ. ΤΑ ΝΕΑ ΠΕΙΡΑΜΑΤΙΚΑ D-ΒΕΛΤΙΣΤΑ ΣΧΕΔΙΑ ΠΟΥ ΚΑΤΑΣΚΕΥΑΖΟΝΤΑΙ ΕΙΝΑΙ ΤΥΠΟΥ (Ν, Κ, S) ΟΠΟΥ Ν < 100 Ο ΑΡΙΘΜΟΣ ΤΩΝ ΠΑΡΑΤΗΡΗΣΕΩΝ ΚΑΙ Κ Ο ΑΡΙΘΜΟΣ ΤΩΝ ΠΑΡΑΓΟΝΤΩΝ ΠΟΥ ΠΑΙΡΝΟΥΝ ΜΕΡΟΣ ΣΤΟ ΠΕΙΡΑΜΑ Κ < Ν. S ΤΟ ΠΛΗΘΟΣ ΤΩΝ ΔΙΑΓΩΝΙΩΝ ΜΠΛΟΚ: (Ν, Κ, S)=(23,15,11), (23,16,9), (35,23,11), (35,24,11), (39,23,17), (39,24,12), (39,24,13), (47,29,14), (47,29,15), (47,30,13), (55,31,23), (55,32,16), (55,32,17), (59,36,16), (59,39,12), (59,40,11), (59,41,11), (71,39,29), (71,40,20), (71,40,21), (71,41,20), (71,41,21), (71,42,19), (83,47,24), (83,48,21), (87,47,35), (87,48,24), (87,48,25), (95,53,26), (95,53,27), (83,56,12), (83,55,12)."],"dc:identifier":["10.12681/eadd/0226","http://hdl.handle.net/10442/hedi/0226"],"dc:language":["gre"],"dc:publisher":["Aristotle University Of Thessaloniki (AUTH)","Αριστοτέλειο Πανεπιστήμιο Θεσσαλονίκης (ΑΠΘ)"],"dc:subject":["Απόκριση","ΒΑΡΟΣ ΠΙΝΑΚΑ","ΒΕΛΤΙΣΤΟΣ","ΚΥΚΛΙΚΟΣ ΠΙΝΑΚΑΣ","ΠΑΡΑΓΟΝΤΑΣ","ΠΑΡΑΓΟΝΤΙΚΟΣ","Παράμετρος","Πειραματικοί σχεδιασμοί","Πίνακας Hadamard","ΣΤΑΘΜΕΣ","Στατιστική","ΥΠΕΡΟΧΗ ΠΙΝΑΚΑ","CIRCULAR MATRIX","EXCESS OF A MATRIX","Experimental designs","FACTOR","LEVELS","OPTIMAL","Response","WEIGHT OF A MATRIX","Φυσικές Επιστήμες","Μαθηματικά","Natural Sciences","Mathematics"],"dc:title":["ΕΙΔΙΚΕΣ ΚΑΤΑΣΚΕΥΕΣ ΒΕΛΤΙΣΤΩΝ ΠΕΙΡΑΜΑΤΙΚΩΝ ΣΧΕΔΙΑΣΜΩΝ","SPECIAL CONSTRUCTIONS OF OPTIMAL EXPERIMENTAL DESIGNS"],"dc:type":["PhD Thesis"]},"updated_at":"2026-07-24T02:25:08Z"}