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A Class Of Neighbor Balanced Complete Block Designs and their Efficiencies for Spatially Correlated Errors

 

作者: John P. Morgan,   Nizam Uddin,  

 

期刊: Statistics  （Taylor Available online 1999）
卷期: Volume 32, issue 4  

页码: 317-330

 

ISSN:0233-1888

 

年代: 1999

 

DOI:10.1080/02331889908802672

 

出版商: Taylor & Francis Group

 

关键词: Autonormal process;correlated errors;doubly geometric process;efficiency;generalized least squares;neighbor design;optimal design

 

数据来源: Taylor

 

摘要:

Two dimensional designs for blocksize (ν/2) × 2 and an even number ν of treatments, which are neighbor balanced and which have an additional property on the design formed by the corner plots, are studied. Efficiency lower bounds for these resolvable row-column designs are obtained under two different error covariance structures: the doubly geometric, for which the correlations decay rapidly, and the autonormal, which exhibits a slower rate of decay. Two infinite series of the designs are constructed.

 

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