International Journal of Mathematics Trends and Technology
Volume 40 | Number 4 | Year 2016 | Article Id. IJMTT-V40P537 | DOI : https://doi.org/10.14445/22315373/IJMTT-V40P537
A series of nested two, three and group divisible designs using HadamardMatrices has been constructed. Some examples are also added.
[1] Clatworthy, W.H. (1973), “Tables of two- associate-class partially balanced designs,” NBS Applied Mathematics Series, 63, U.S. Department of Commerce. National Bureau of Standards, Washington, D.C.
[2] Das, A., Dey, A. and Dean, A.M. (1998), “Optimal designs for diallel cross experiments,” Statist. Probab. Lett. vol.36, pp. 427-436.
[3] Greig, M. and Rees, D.H. (2003). “ Existence of balanced incomplete block designs for many sets of treatments, ” Discrete Mathematics vol. 261, pp. 299-324.
[4] Gupta, S. and Kageyama (1994), “Optimal complete dialed crosses,” Biometrika vol. 81, pp. 420-424.
[5] Hedayat, A. and Wallis, W.D. (1978), “Hadamard matrices and their applications,” The Annals of Statistics, vol. 6, pp. 1184-1238.
[6] Morgan, J.P., Preece, D.A. and Rees, D.H. (2001), “Nested balanced incomplete block designs,” Discrete Mathematics vol. 231, pp. 351-389.
[7] Preece, D.A. (1967), “Nested balanced incomplete block design,” Biometrika vol.54, pp. 479-486.
[8] Ragahvarao, D. (1971), “Construction and combinatorial problem in design of experiment,” John Wily and Sons.
[9] Singh, M. and Dey, A. (1979), “Block designs with nested rows and columns,” Biometrika 66, pp.321-326.
[10] Srivastava, J.N. (1978), “Statistical design of agricultural experiments,” J. Ind. Soc. Agric. Statist. vol.30, pp.1-10.
Roshni Tiwari, H.L. Sharma, S.S. Gautam, "A Series of Nested Two, Three Designs and Group Divisible Designs using Hadamard Matrices," International Journal of Mathematics Trends and Technology (IJMTT), vol. 40, no. 4, pp. 285-287, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V40P537
PDF 
Abstract 
Keywords 
References 
Citation