Fitting Equations to Mixture Data with Restraints on Compositions
作者:
GormanJ. W.,
期刊:
Journal of Quality Technology
(Taylor Available online 1970)
卷期:
Volume 2,
issue 4
页码: 186-194
ISSN:0022-4065
年代: 1970
DOI:10.1080/00224065.1970.11980437
出版商: Taylor&Francis
关键词: Curve Fitting;Extreme Vertices Design;Mixture Data;SchefféPolynomial;Transformation
数据来源: Taylor
摘要:
Fitting polynomials to mixture data by linear least squares often leads to inaccurate computer solutions when there are restraints on composition. When the restricted region in composition contains enough properly distributed points, accuracy can be achieved by suitable transformations which improve conditioning of the normal equations. Two transformations are discussed which use the Scheffépolynomial forms for mixtures and are easy to apply to data from undesigned experiments. An application of both transformations to data from an extreme vertices design illustrates the improvement in conditioning.
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