✦ LIBER ✦

Further Results on Minimax Designs to Estimate the Slope of a Response Surface

✍ Scribed by Dr. Shahariar Huda

Publisher: John Wiley and Sons
Year: 1990
Tongue: English
Weight: 284 KB
Volume: 32
Category: Article
ISSN: 0323-3847
DOI: 10.1002/bimj.4710320209

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

The problem considered is polynomial regression and minimization of the variance of estimated slope maximized over all points in the region of interest when the design region and region of interest are hyperspheres with a common centre. Optimal designs under the criterion are derived for the second‐order model. Method of deriving optimal designs for the third‐order model is indicated and some limiting results on these designs are obtained.

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