ΕΙΔΙΚΕΣ ΚΑΤΑΣΚΕΥΕΣ ΒΕΛΤΙΣΤΩΝ ΠΕΙΡΑΜΑΤΙΚΩΝ ΣΧΕΔΙΑΣΜΩΝ

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).

Grantor dc:publisher

Aristotle University Of Thessaloniki (AUTH)

Year dc:date

1986

Authors dc:creator

• Farmakis, Nikolaos
• Φαρμάκης, Νικόλαος

• 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

Language dc:language

gre

Identifier

10.12681/eadd/0226

OAI identifier oai:identifier

oai:10442/0226