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On the Bounds of the Number of Common Treatments between Blocks of Semi-Regular Group Divisible Designs

 

作者: Hiralal Agrawal,  

 

期刊: Journal of the American Statistical Association  （Taylor Available online 1964）
卷期: Volume 59, issue 307  

页码: 867-871

 

ISSN:0162-1459

 

年代: 1964

 

DOI:10.1080/01621459.1964.10480733

 

出版商: Taylor & Francis Group

 

数据来源: Taylor

 

摘要:

The bounds for the number of common treatments between any two blocks of a semi-regular group divisible design are derived using the characteristic roots ofNN′ whereNis the incidence matrix of the design. It is further shown that these bounds are superior to the existing ones. Some new results are obtained and known ones are established in an elegant way.

 

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