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Using Spatial Considerations in the Analysis of Experiments

 

作者: MartinO. Grondona,   Noel Cressie,  

 

期刊: Technometrics  (Taylor Available online 1991)
卷期: Volume 33, issue 4  

页码: 381-392

 

ISSN:0040-1706

 

年代: 1991

 

DOI:10.1080/00401706.1991.10484867

 

出版商: Taylor & Francis Group

 

关键词: Blocking;Calendering;Efficiency;Integrated-circuit chips;Randomization;Replication;Spatial statistics;Treatment contrasts;Wafers

 

数据来源: Taylor

 

摘要:

Classical experimental design is based on the three concepts of randomization, blocking, and replication. Randomization endeavors to neutralize the effects of (spatial) correlation and yields valid tests for the hypothesis of equal treatment effects. More recently, attempts have been made to use the spatial location of treatments to improve the efficiencies of estimators of treatment contrasts. In this article, we show that a simple, flexible spatial-modeling approach to the analysis of industrial experiments (e.g., wafer fabrication) can yield more efficient estimators of the treatment contrasts than the classical approach. We base the analysis on empirical generalized least squares estimation, in which the spatial-dependence parameters are estimated from resistantly detrended response data.

 

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