References

Adhikary, B. (1967). A new type of higher associate cyclical association schemes.  Cal. Statist. Assoc. Bull., 16, 40-44.

Adhikary, B. (1972). Method of differences for the construction of three associate cyclic designs. J. Indian Soc. Agric. Statist., 24, 1-18.

Agrawal, H.C. (1998). On new type PBIB designs. J. Indian Soc. Agric. Statist., 51(1), 6-11.

Banerjee, S. and Kageyama, S. (1988). Some constructions of two and three associate PBIB designs. J. Japan  Statist. Soc., 18(2)), 141-147.

Bhagwandas and Nutan (1986). Recent constructions of group divisible designs and rectangular designs. Proceedings of the symposium on Optimization, Design of Experiment and Graph Theory.  IIT, Bombay, Dec. 15-17, pp. 1-26.

Bhagwandas; Sinha, K. and Kageyama, S. (1992). Construction of PBIB designs based on nested group divisible association scheme. Utilitas Mathematica, 41, 169-174.

Bose, R.C. and Nair, K.R. (1939). Partially balanced incomplete block designs. Sankhya, 4, 337-372.

Bose, R.C. and Shimamoto, T. (1952). Classification and analysis of partially balanced incomplete block designs with two associate classes. J. Amer. Statist. Assoc., 47, 151-184.

Bose, R.C, Clatworthy, W.H. and Shrikhande, S.S. (1954). Tables of partially balanced designs with two associate classes. North Carolina Agricultural Experiment Station Technical Bulletin No. 107. Raleigh. N.C.

Chandrasekhararao, K. (1964). On further constructions of cubic designs. Cal. Statist. Assoc. Bull., 13, 71-75.

Clatworthy, W.H. (1973). Tables of two-associate partially balanced designs.  National Bureau of Standards, Applied Maths. Series No.63, Washington D.C.

Das, M.N. (1960).  Circular designs.  J. Indian Soc. Agric. Statist., 45-56.

Das, M.N. and Giri, N.C. (1986).  Design and Analysis of Experiments.  Wiley Eastern Limited, New Delhi.

Dey, A., Midha, C.K. and Trivedi, H.T. (1974).  On construction of group divisible and rectangular designs.  J. Indian Soc. Agric. Statist., 26(2), 14-18.

Hinkelmann, and Kempthorne, D. (1963). Two classes of group divisible partial diallel crosses. Biometrika, 50(3&4), 281-291.

John, P.W.M. (1966). An extension of the triangular association scheme to three associate classes. J. Roy. Stat. Soc. B,  28, 361-365.

Kageyama, S. and Mohan, R.N. (1988). A kronecker-product design and its reducible associate classes. Prob. Math. Statist., 9(2), 45-49.

Kulshreshtha, A.C., Saha, G.M. and Dey, A. (1971). On circular designs. Ann. Inst. Statist. Math., 23, 491-497.

Kusumoto, K. (1967). Association schemes of new types and necessary conditions for existence of regular and  symmetrical  PBIB  designs with those  association schemes. Ann. Stat. Math., 19, 73-100.

Mead, R. (1989). The Design of Experiments. Cambridge University Press, New York.

Mohan, R.N. and Kageyama, S. (1986). On the reduction of associate  classes for  the kronecker product  designs  of  a  certain generalized  type.  J. Combinatorics, Information and System Sciences, 11(2-4), 92-98.

Nair, K.R. (1951 a). Rectangular lattices and partially balanced incomplete block designs. Biometrics, 7, 145-154.

Nair, K.R. (1951 b). Some three-replicate partially balanced designs. Cal. Statist. Assoc. Bull., 4, 39-42.

Nair, K.R. and Rao, C.R. (1942). A note  on partially  balanced  incomplete block design. Ann. Math. Statist., 29, 910-914.

Raghavarao, D. (1960 b). A generalization of group divisible designs. Ann. Math. Statist., 31, 756-771.

Raghavarao, D. (1962). Some results for GD m-associate designs. Cal. Statist. Assoc. Bull., 11, 150-154. 

Raghavarao, D. and Chandrasekhararao, K. (1964). Cubic designs. Ann. Math. Statist., 35, 389-397.

Rao, C.R. (1956). A general class of quasifactorial and related designs.  Sankhya, 17, 165-174.

Rao, P.V. (1960). The dual of a balanced incomplete block design. Ann. Math. Statist., 779-785.

Roy, J. and Laha, R.G. (1956). Classification and analysis of linked block designs. Sankhya, 17, 115-132.

Roy, P.M. (1953). Hierarchical group divisible incomplete block  designs  with m-associate classes, Science and Culture, 19, 210-211.

Roy, P.M. (1954). On the method  of inversion in  the construction of  partially  balanced incomplete block  designs  from  the  corresponding balanced incomplete block designs.  Sankhya, 14, 39-52.

Roy, P.M. (1962). On the properties and construction of HGD designs with m associate classes. Cal. Statist. Assoc. Bull., 11, 10-38.

Saha, G.M. (1973). On construction of Tm – type PBIB designs. Ann. Inst. Statist. Math., 25, 605-616.

Saha, G.M. and Das, M.N. (1969). Construction of partially  balanced  incomplete block designs through 2n factorials and some new designs of two associate classes. J. Combinatorial Theory.

Saha, G.M., Dey, A. and Kulshreshtha, A.C. (1974). Circular designs – further results.  J. Indian Soc. Agric. Statist., 87-92.

Saha, G.M., Kulshreshtha, A.C. and Dey, A. (1973). On a new  type of  m-class  cyclic association scheme and design based on the scheme. Ann. Statist., 1, 985-990.

Saha, G.M. and Mishra, A.K. (1971). A  class of  three-replicate  three  associate PBIB designs. Ann. Inst. Statist. Math., 23, 499-505.

Singh, Y. and Pratap, M. (1990). Partially balanced  ncomplete  block  designs with  three replicates. J. Indian Soc. Agric. Statist., XLII (2), 201-205.

Sinha, K. (1987).  Generalized  partially balanced incomplete  block  designs. Discrete Mathematics, 67, 315-318. 

Sharma, V.K. and Das, M.N. (1985). On resolvable incomplete  block  designs.  Austral. J. Statist., 27(3), 298-302.

Suen C. yi. (1989). Some rectangular designs constructed by the method of differences. J. Statist. Plann. Inf., 21, 273-276.

Varghese, Cini, Sharma, V.K., Jaggi, Seema and Sharma, Anu (2004). Three-associate class partially balanced incomplete block designs and their application to partial diallel crosses. Technical Report, IASRI Publication.

Varghese, Cini and Sharma, V.K. (2004). A series of  resolvable  PBIB(3)  designs with two replicates. Metrika, 60, 251-254.

Vartak, M.N. (1955). On an application of kronecker product of matrices to statistical designs. Ann. Math. Statist., 26, 420-438.

Vartak, M.N. (1959). The non-existence of certain PBIB designs. Ann. Math. Statist., 30, 1051-1062.

Vartak, M.N. (1960). Relations among the blocks of the kronecker product of designs.  Ann. Math. Statist., 772-778.

Yates, F. (1936). A new method of arranging variety trials involving a large number of varieties. J. Agric. Sci., 26, 424-455.

Zelen, M. (1954). A note on partially balanced designs. Ann. Math. Statist., 25, 599-602.