Accounting for Heteroscedasticity in Experimental Design
作者:
D.J. Pritchard,
D.W. Bacon,
期刊:
Technometrics
(Taylor Available online 1977)
卷期:
Volume 19,
issue 2
页码: 109-115
ISSN:0040-1706
年代: 1977
DOI:10.1080/00401706.1977.10489518
出版商: Taylor & Francis Group
关键词: Design of experiments;Heteroscedasticity;Power transformations;Weighted least squares;Chemical kinetics
数据来源: Taylor
摘要:
Power transformation weighting has been found to be a powerful technique for accounting for heteroscedasticity in model fitting. In this paper the transformation weighting concept is used in developing sequential design criteria for precise parameter estimation in heteroscedastic situations. Criteria are proposed for precise estimation of the model and transformation parameters together and for precise estimation of the model parameters alone. Implementation of the criteria is illustrated with two examples from chemical kinetics.
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