Minimax Designs
作者:
V.N. Murty,
期刊:
Journal of the American Statistical Association
(Taylor Available online 1971)
卷期:
Volume 66,
issue 334
页码: 319-320
ISSN:0162-1459
年代: 1971
DOI:10.1080/01621459.1971.10482261
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
When an experimenter is interested in more than one parameter in the regression model and tries to obtain a design that minimizes the maximum variance of the individual regression coefficients, he is looking for a minimax design with respect to the single parameter. In this article we explicitly present the minimax s.p. designs for the ordinary polynomial regression, when the degree is ≤4. For 5≤n ≤12 we present the minimax s.p. designs obtained through a computer. These are very good approximations to the actual designs. Finally based on these results, a conjecture for constructing a minimax s.p. design for any degree is advanced.
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