Experimental Designs Optimally Balanced for Trend
作者:
A.C. Atkinson,
A.N. Donev,
期刊:
Technometrics
(Taylor Available online 1996)
卷期:
Volume 38,
issue 4
页码: 333-341
ISSN:0040-1706
年代: 1996
DOI:10.1080/00401706.1996.10484545
出版商: Taylor & Francis Group
关键词: Adjustment algorithm;BLKL exchange algorithm;BT algorithm;Design efficiency;Optimum design;Response surface;Trend-free design
数据来源: Taylor
摘要:
When experiments are carried out over a period of time, the response may be subject to time trends. We use an algorithm for exact optimum designs to construct a series of designs resistant to linear and quadratic trend. Designs considered include the allocation of simple treatments, multifactor designs in qualitative or quantitative factors, and response surface designs. The investigation is extended from consideration of linear ordering in time to include designs with several trials at each time point, designs in which several trials are spread over only one out of three shifts per day, and designs in which there are more time points than experiments. Comparisons with designs in the absence of trend show that surprisingly little information is lost by designing for protection against a potential trend. The BT algorithm for obtaining these designs is outlined.
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