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Volume (52) Number 1 pp. 1-12
Ryszard Walkowiak 1
1Department of Mathematical and Statistical Methods, Poznan University of Life Sciences, Wojska Polskiego 28, 60-637Poznań, Poland
X−1-balance of some partially balanced experimental designs with particular emphasis on block and row-column designs
Summary
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.
Keywords: block design, row-column design, efficiency balance, variance balance, X−1-balance
DOI: 10.1515/bile-2015-0001
For citation:
| MLA | Walkowiak, Ryszard. "X−1-balance of some partially balanced experimental designs with particular emphasis on block and row-column designs." Biometrical Letters 52.1 (2015): 1-12. DOI: 10.1515/bile-2015-0001 |
| APA | Walkowiak, R. (2015). X−1-balance of some partially balanced experimental designs with particular emphasis on block and row-column designs. Biometrical Letters 52(1), 1-12 DOI: 10.1515/bile-2015-0001 |
| ISO 690 | WALKOWIAK, Ryszard. X−1-balance of some partially balanced experimental designs with particular emphasis on block and row-column designs. Biometrical Letters, 2015, 52.1: 1-12. DOI: 10.1515/bile-2015-0001 |