메뉴 건너뛰기




Volumn 10, Issue 1, 2002, Pages 17-26

Incidence matrices and inequalities for combinatorial designs

Author keywords

BIBD; Incidence matrix; Latin square; Mutually nearly orthogonal Latin squares; T design

Indexed keywords

BIBD; INCIDENCE MATRICES; LATIN SQUARE; ORTHOGONAL LATIN SQUARES; T-DESIGNS;

EID: 0345017651     PISSN: 10638539     EISSN: 15206610     Source Type: Journal    
DOI: 10.1002/jcd.1026     Document Type: Article
Times cited : (12)

References (17)
  • 1
    • 0001316952 scopus 로고
    • A note on the resolvability of incomplete block designs
    • R. C. Bose, A note on the resolvability of incomplete block designs, SankhyaA 6 (1942), 105-110.
    • (1942) SankhyaA , vol.6 , pp. 105-110
    • Bose, R.C.1
  • 2
    • 0010786593 scopus 로고
    • A note on Fisher's inequality for balanced incomplete block designs
    • R. C. Bose, A note on Fisher's inequality for balanced incomplete block designs, Ann Math Stat 20 (1949), 619-620.
    • (1949) Ann Math Stat , vol.20 , pp. 619-620
    • Bose, R.C.1
  • 3
    • 0040674784 scopus 로고
    • On the composition of balanced incomplete block designs
    • R. C. Bose and S. S. Shrikhande, On the composition of balanced incomplete block designs, Canadian J Math 12 (1960), 177-188.
    • (1960) Canadian J Math , vol.12 , pp. 177-188
    • Bose, R.C.1    Shrikhande, S.S.2
  • 5
    • 0001102027 scopus 로고
    • Repeated measurements designs
    • A. S. Hedayat and K. Afsrainejed, Repeated measurements designs, II, Ann Stat 6 (1978), 619-628.
    • (1978) II, Ann Stat , vol.6 , pp. 619-628
    • Hedayat, A.S.1    Afsrainejed, K.2
  • 6
    • 0001023838 scopus 로고
    • Further contributions to the theory of F-squares design
    • A. S. Hedayat, D. Raghavarao, and E. Seiden, Further contributions to the theory of F-squares design, Ann Stat 3 (1975), 712-716.
    • (1975) Ann Stat , vol.3 , pp. 712-716
    • Hedayat, A.S.1    Raghavarao, D.2    Seiden, E.3
  • 7
    • 0039672587 scopus 로고
    • Row complete latin squares of every composite order exist
    • J. Higman, Row complete latin squares of every composite order exist, J Combin Designs 6 (1988), 63-77.
    • (1988) J Combin Designs , vol.6 , pp. 63-77
    • Higman, J.1
  • 8
    • 0040691732 scopus 로고    scopus 로고
    • Resolvable pairwise balanced designs
    • Y. J. Ionin and M. S. Shrikhande, Resolvable pairwise balanced designs, J Stat Plan Inf 72 (1998), 393-405.
    • (1998) J Stat Plan Inf , vol.72 , pp. 393-405
    • Ionin, Y.J.1    Shrikhande, S.M.2
  • 9
    • 0001408333 scopus 로고
    • On some theorems in combinatorics relating to incomplete block designs
    • K. N. Majumdar, On some theorems in combinatorics relating to incomplete block designs, Ann Math Stat 24 (1953), 379-384.
    • (1953) Ann Math Stat , vol.24 , pp. 379-384
    • Majumdar, K.N.1
  • 10
    • 51649187375 scopus 로고
    • Some results on tactical configurations and non-existence results of difference set solutions for certain symmetrical PBIB designs
    • D. Raghavarao, Some results on tactical configurations and non-existence results of difference set solutions for certain symmetrical PBIB designs, Ann Insti Stat Math 22 (1970), 501-506.
    • (1970) Ann Insti Stat Math , vol.22 , pp. 501-506
    • Raghavarao, D.1
  • 11
    • 84890042740 scopus 로고
    • Constructions and combinatorial problems in design of experiments
    • Reprinted Dover Paperback Series, Wiley
    • D. Raghavarao, Constructions and combinatorial problems in design of experiments, Wiley, New York, 1971 (Reprinted Dover Paperback Series 1988).
    • (1988) New York
    • Raghavarao, D.1
  • 12
    • 84890024260 scopus 로고
    • An inequality for doubly balanced incomplete block designs
    • D. Raghavarao and S. K. Tharthare, An inequality for doubly balanced incomplete block designs, Calcutta Stat Assn Bull 16 (1967), 37-39.
    • (1967) Calcutta Stat Assn Bull , vol.16 , pp. 37-39
    • Raghavarao, D.1    Tharthare, S.K.2
  • 15
    • 84864498982 scopus 로고
    • Generalized right angular designs designs
    • S. K. Tharthare, Generalized right angular designs designs, Ann Math Stat 36 (1965), 1535-1553.
    • (1965) Ann Math Stat , vol.36 , pp. 1535-1553
    • Tharthare, S.K.1
  • 16
    • 84970602731 scopus 로고
    • Experimental designs balanced for the estimation of residual effects of treatments
    • E. J. Williams, Experimental designs balanced for the estimation of residual effects of treatments, Aust J Sci Res Seri A 2 (1949), 149-168.
    • (1949) Aust J Sci Res Seri A , vol.2 , pp. 149-168
    • Williams, E.J.1
  • 17
    • 0345803962 scopus 로고
    • Incidence matrices for t-designs
    • R. M. Wilson, Incidence matrices for t-designs, Linear Alg Appl 46 (1982), 73-82.
    • (1982) Linear Alg Appl , vol.46 , pp. 73-82
    • Wilson, R.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.