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Multicollinearity and Leverage in Mixture Experiments

 

作者: MontgomeryDouglas C.,   VothSheila R.,  

 

期刊: Journal of Quality Technology  (Taylor Available online 1994)
卷期: Volume 26, issue 2  

页码: 96-108

 

ISSN:0022-4065

 

年代: 1994

 

DOI:10.1080/00224065.1994.11979510

 

出版商: Taylor&Francis

 

关键词: Experimental Design;Influence;Leverage;Mixture Experiments;Multicollinearity

 

数据来源: Taylor

 

摘要:

The impact of leverage, influential observations, and multicollinearity in mixture experiments is discussed. By example, it is shown that consideration of these factors is important in the practical selection of a mixture design. Both standard simplex-type mixture designs and computer-generated designs for constrained hyperpolyhedron regions can have very non-uniform distributions of leverage, and consequently, some design points may exert disproportionate influence on the least squares fit. Generally, multicollinearity is not a serious problem in simplex-type designs, provided that when constraints are present the pseudocomponent transformation is used. However, in computer-generated designs, high levels of multicollinearity may be present. How these potential problems can be evaluated and considered in selecting a mixture design is illustrated.

 

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