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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