Structure of the Concordance Matrix Related to Extended Group Divisible Designs

Title & Authors
Structure of the Concordance Matrix Related to Extended Group Divisible Designs
Bae Jong-Sung; Kim Sea-Young;

Abstract
The paper by Paik (1985) introduced a structural property of the designs which was related to the concordance matrix $\small{NN^{t}}$ of the design. This special property was termed Property-C. The designs which have Property-C need not calculation of the generalize inverse of C matrix for solution of reduced normal equation. Paik also mentioned that some block designs belong to Property-C. This paper show the Extended Group Divisible designs defined by Hinkelmann (1964) are included in Property-C.
Keywords
Extended Group Divisible Design;Property-A;Property-C;
Language
Korean
Cited by
References
1.
Cotter, S.C., John, J,A. and Smith, T.M.F. (1973). Multi-factor experiments in non-orthogonal designs. Journal of the Royal Statistical Society, Series B, Vol. 35, 361 - 367

2.
Hinkelmann, K. (1964). Extended group divisible partially balanced incomplete block designs. Annual of Mathematical Statistics, Vol. 35, 681 -695

3.
Kshirsager, A.M. (1966). Balanced factorial designs. Journal of the Royal Statistical Society, Series B, Vol. 28, 559-567

4.
Kurkjian, B. and Zelen, M. (1963). Applications of the calculus for factorial arrangements, I. b Block and direct product designs. Biometrika, Vol. 50. 63-73

5.
Paik, U.B. (1985). Cyclic factorial association scheme partially balanced incomplete block designs. Journal of the Korean Statistical Society. Vol. XIV, 29-38