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On the Construction of Orthogonal Balanced Incomplete Block Designs

Year 2006, Volume: 35 Issue: 2, 235 - 240, 01.02.2006

References

  • 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).

On the Construction of Orthogonal Balanced Incomplete Block Designs

Year 2006, Volume: 35 Issue: 2, 235 - 240, 01.02.2006

References

  • 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).
There are 9 citations in total.

Details

Primary Language Turkish
Journal Section Mathematics
Authors

H. Bayrak This is me

H. Bulut This is me

Publication Date February 1, 2006
Published in Issue Year 2006 Volume: 35 Issue: 2

Cite

APA Bayrak, H., & Bulut, H. (2006). On the Construction of Orthogonal Balanced Incomplete Block Designs. Hacettepe Journal of Mathematics and Statistics, 35(2), 235-240.
AMA Bayrak H, Bulut H. On the Construction of Orthogonal Balanced Incomplete Block Designs. Hacettepe Journal of Mathematics and Statistics. February 2006;35(2):235-240.
Chicago Bayrak, H., and H. Bulut. “On the Construction of Orthogonal Balanced Incomplete Block Designs”. Hacettepe Journal of Mathematics and Statistics 35, no. 2 (February 2006): 235-40.
EndNote Bayrak H, Bulut H (February 1, 2006) On the Construction of Orthogonal Balanced Incomplete Block Designs. Hacettepe Journal of Mathematics and Statistics 35 2 235–240.
IEEE H. Bayrak and H. Bulut, “On the Construction of Orthogonal Balanced Incomplete Block Designs”, Hacettepe Journal of Mathematics and Statistics, vol. 35, no. 2, pp. 235–240, 2006.
ISNAD Bayrak, H. - Bulut, H. “On the Construction of Orthogonal Balanced Incomplete Block Designs”. Hacettepe Journal of Mathematics and Statistics 35/2 (February 2006), 235-240.
JAMA Bayrak H, Bulut H. On the Construction of Orthogonal Balanced Incomplete Block Designs. Hacettepe Journal of Mathematics and Statistics. 2006;35:235–240.
MLA Bayrak, H. and H. Bulut. “On the Construction of Orthogonal Balanced Incomplete Block Designs”. Hacettepe Journal of Mathematics and Statistics, vol. 35, no. 2, 2006, pp. 235-40.
Vancouver Bayrak H, Bulut H. On the Construction of Orthogonal Balanced Incomplete Block Designs. Hacettepe Journal of Mathematics and Statistics. 2006;35(2):235-40.