On the Construction of Orthogonal Balanced Incomplete Block Designs

Yıl 2006, Cilt: 35 Sayı: 2, 235 - 240, 01.02.2006

H. Bayrak H. Bulut

Anahtar Kelimeler

-

Kaynakça

• Bulut, H. Ortogonal Dengeli Tamamlanmamı¸s Blok D¨uzenleri, Y¨uksek Lisans Tezi, (Gazi ¨ Universitesi Fen Bilimleri Enstit¨us¨u, Ankara, 2005), 79-82.
• Greig, M. and Rees, D. H. Existence of balanced incomplete block designs for many sets of treatments, Discrete Mathematics 261, 299–324, 2003.
• Mathon, R. and Rosa, A. 2 − (v, k, λ) designs of small order, in: C. J. Colbourn, J. H. Dinitz (Eds.), The CRC Handbook of Combinatorial Designs (CRC Press, Boca Raton, FL, 1996), 3–41.
• Morgan, J. P., Preece, D. A. and Rees, D. H. Nested balanced incomplete block designs, Dis- crete Mathematics 231, 351–389, 2001.
• Morgan, J. P. and Uddin, N. Optimal blocked main effects plans with nested rows and columns and related designs, Ann. Statist 24, 1185–1208, 1996.
• Preece, D. A. Some balanced incomplete block designs for two sets of treatments, Biometrika 53(54), 497–506, 1966.
• Preece, D. A. Multi-factor balanced block designs with complete adjusted orthogonality for all pairs of treatment factors, Austral. J. Statist. 38, 223–230, 1996.
• Rees, D. H. Some new generalised Kirkman systems, Utilitas Mathematica 56, 177–199, 1999.
• Wallis, W. D. Combinatorial Designs (Marcel Dekker, New York, 1988).