SOME CONSTRUCTIONS OF BALANCED INCOMPLETE BLOCK DESIGN WITH NESTED ROWS AND COLUMNS
Keywords:
Balanced incomplete block design; Nested row column design.Abstract
Many researchers have given methods of construction of balanced incomplete block designs with nested rows and columns. In this paper some new methods of construction of balanced incomplete block designs with nested rows and columns are developed. The paper concludes with a numerical illustration and the appendix consists of parameters of some BIB-RC designs with their efficiencies and efficiency factors.
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References
Agrawal, H. L. and Jagdish Prasad. (1983). On construction of Balanced
incomplete block design with nested rows and columns, Sankhya : The Indian
Journal of Statistics, Volume 45, Series B, Pt. 3, p. 345-350.
Agrawal, H. L. and Jagdish Prasad (1982). Some methods of construction of
balanced incomplete block design with nested row and columns, Biometrika,
, p. 481- 83.
Bose, R. C and Manvel, B. (1984). Introduction to Combinatorial Theory,
John Wiley and Sons, New York.
Chang, Ching-Shui. (1986). A method for constructing balanced incomplete
block design with nested rows and columns, Biometrika, 73 (3), p. 695-700.
David, Caughran and Uddin, Nizam. (1999). On optimal row-column designs
for two treatments, Journal of statistical Research, 33, p. 27-34.
Dey, Alok , Theory of block designs, John Wiley and Sons.
Hishida Takaaki and Jimbo Masakazu. (2002). Construction of balanced
incomplete block design with nested rows and columns, Journal of Statistical
Planning and Inference, 106, p. 47-56.
Prasad, Rajendra, Gupta, V.K. and Voss, Daniel. (2001). Optimal nested row -
column designs, Journal of Indian society of Agricultural Statistics, 54 (2), p.
-257.
Prasad, Rajendra (2001). Block design with nested rows and columns, IASRI,
Library Avenue, New Delhi.
Singh. M and Dey, A. (1979). Block design with nested rows and columns,
Biometrika, 66, p. 321-26.
Sreenath, P.R. (1989). Miscellanea construction of some balanced incomplete
block designs with nested rows and columns, Biometrika, 76 (2), p. 399-402.
Sreenath, P.R. (1991). Construction of balanced incomplete block design with
nested rows and columns through the method of differences, Sankhya: The
Indian Journal of Statistics, 53, series B, Pt. 3, p. 352-358.
Sreenath, P.R. (1999). Balanced Incomplete block design with nested rows and
columns, Technical Report, IASRI, New Delhi.
Uddin Nizam and Morgan, J. P. (1990). Some constructions for balanced
incomplete block design with nested rows and column, Biometrika, 77 (1), p.
-202.
Uddin, Nizam and Morgan, J. P. (1991). Two construction of balanced
incomplete block design with nested rows and columns, Statistic Sinica, 1,
-232.
Uddin, Nizam. (1992). Construction for some balanced incomplete block
designs with nested rows and columns, Jorunal of Statistical Planning and
Inference, 31, 253-261.
Uddin, Nizam (1995). On recursive construction for balanced incomplete
block designs with nested rows and columns, Metrika, 42, p. 341-345.
Uddin, Nizam and Morgan, J. P. (1997). Orthogonal sets of balanced
incomplete block design with nested rows and columns, Journal of Statistical
Planning and Inference, 59, p. 369-378.
Uddin, Nizam (2002). A method of construction of class of universally
optimal structurally incomplete row-column designs. Statistics and Probability
Letters, 59, p. 93- 98
