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On the description and identifiability analysis of experiments with mixtures
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Maruri-Aguilar, Hugo, Notari, Roberto and Riccomagno, Eva (2007) On the description and identifiability analysis of experiments with mixtures. Statistica Sinica, Vol.17 (No.4). pp. 1417-1440. ISSN 1017-0405.
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Official URL: http://www3.stat.sinica.edu.tw/statistica/J17N4/J1...
Abstract
In a mixture experiment the collinearity problems, implied by the sum to one functional relationship among the factors, have strong consequences on the identification and analysis of regression models for such designs. Here to address these problems, mixture designs are represented as sets of homogeneous polynomials. Techniques from computational commutative algebra are employed to deduce generalized confounding relationships on power products, and to determine families of identifiable models.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Statistics | ||||
Journal or Publication Title: | Statistica Sinica | ||||
Publisher: | Academia Sinica * Institute of Statistical Science | ||||
ISSN: | 1017-0405 | ||||
Official Date: | October 2007 | ||||
Dates: |
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Volume: | Vol.17 | ||||
Number: | No.4 | ||||
Number of Pages: | 24 | ||||
Page Range: | pp. 1417-1440 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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