Czasopismo
Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
This paper considers block designs and row-column designs where the information matrix C has two different nonzero eigenvalues, one of multiplicity 1 and the other of multiplicity h−1, where h is the rank of the matrix C. It was found that for each such design there exists a diagonal positive definite matrix X such that the design is X −1-balanced.
Słowa kluczowe
Wydawca
Czasopismo
Rocznik
Tom
Numer
Strony
1-12
Opis fizyczny
Daty
wydano
2015-06-01
online
2015-06-08
Twórcy
autor
- Department of Mathematical and Statistical Methods, Poznan University of Life Sciences, Wojska Polskiego 28, 60-637 Poznań, Poland
Bibliografia
- Caliński T. (1977): On the notion of balance in block designs. Recent Developments in Statistics, North-Holland Publishing Company.
- Clatworthy W.H. (1973): Tables of Two-Associate Class Partially Balanced Designs. Applied Mathematics Series 63, National Bureau of Standards, Washington.
- Gupta S., Kageyama S. (1993): Type S designs in unequal blocks. Journal of Combinatorics, Information & System Sciences 18(1-2): 97-112.
- Nigam A.K. (1976): On some balanced row-and-column designs. Sankhya B38: 87-91.
- Pearce S.C. (1960): Supplemented balance. Biometrica 47(3&4): 263-271.[Crossref]
- Pearce S.C. (1975): Row and column designs. Appl. Statist. 24: 60-74.
- Pearce S. C., Caliński T., Marshall T. F. de C. (1974): The basic contrasts of an experimental designs with special reference to the analysis of data. Biometrika 61: 449-460.[Crossref]
- Raghavarao O., Federer W.T. (1975): On connectedness in two-way elimination of heterogeneity designs. Ann. Statist. 3: 730-735.
- Rao C.R., Mitra S.K. (1971): Generalized inverse of matrices and its applications. New York, Wiley.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.doi-10_1515_bile-2015-0001