Browse > Article
http://dx.doi.org/10.5351/CKSS.2006.13.1.135

Structure of the Concordance Matrix Related to Extended Group Divisible Designs  

Bae Jong-Sung (Department of Statistics, Chonnam National University)
Kim Sea-Young (Biomedical Statistics, Osaka University)
Publication Information
Communications for Statistical Applications and Methods / v.13, no.1, 2006 , pp. 135-140 More about this Journal
Abstract
The paper by Paik (1985) introduced a structural property of the designs which was related to the concordance matrix $NN^{t}$ 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;
Citations & Related Records
연도 인용수 순위
  • Reference
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 Kshirsager, A.M. (1966). Balanced factorial designs. Journal of the Royal Statistical Society, Series B, Vol. 28, 559-567
3 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
4 Paik, U.B. (1985). Cyclic factorial association scheme partially balanced incomplete block designs. Journal of the Korean Statistical Society. Vol. XIV, 29-38
5 Hinkelmann, K. (1964). Extended group divisible partially balanced incomplete block designs. Annual of Mathematical Statistics, Vol. 35, 681 -695   DOI