NESTED BALANCED TERNARY, QUATERNARY AND PARTIALLY BALANCED TERNARY RECTANGULAR DESIGNS AND THEIR APPLICATIONS
Keywords:
Balanced Incomplete Block (BIB) Design, Incidence Matrix, Nested Balanced Ternary (NBT) Design, Nested Balanced Quaternary (NBQ) Design, Partially Balanced Ternary Rectangular (PBTR) DesignAbstract
This paper is concerned with the recursive construction of nested balanced ternary (NBT), nested balanced quaternary (NBQ) and partially balanced ternary rectangular (PBTR) designs through a set of balanced incomplete block (BIB) designs. An illustrative example in each case has been added separately. The efficiency of NBT and NBQ designs has also been computed.
Downloads
References
Banerjee,S and Kageyama,S.(1990). Existence of α-resolvable nested
incomplete block designs,Utilitas Math. 38, p. 237-243.
Dey, A. (1986). Theory of Block Designs,Wiley Eastern Limited, New York.
Homel, R.J. and Robinson, J. (1975). Nested partially balanced incomplete
block designs, Sankhya, The Indian Journal of Statistics, 37, Sr. B (2), p.201-
Morgan, J. P. (1996). Nested Designs, Handbook of Statistics, 13, p. 939-976,
Elsevier, North-Holland.
Pandey, I. B., Bharti, V. and Mishra, S. S. (2003). Effect of maize (Zea Mays
L.) based intercropping system on maize yield and associated weeds under
rainfed condition, Indian Journal of Agronomy, 48(1), p. 30-33.
Preece, D. A. (1967). Nested balanced incomplete block designs, Biometrika,
, p. 479- 489.
Rao, D.R. and Rao, G.N.( 2001). Design and analysis when the intercrops are
in different classes. Journal of Indian Society of Agricultural Statistics, 54(2),
p. 236-243.
Sharma,H.L.and Tiwari,Roshni (2011).Construction of a series of partially
balanced ternary rectangular designs, Assam Statistical Review, 25(1), p. 17-
Vartak, M. N. (1955). On an application of Kronecker product of matrices to
statistical designs, Annals of Mathematical Statistics, 26, p. 420-438.
