Singularities in Multiresponse Modelling

Autor:	J. Downie, D. J. Pritchard, David W. Bacon, D. D. Mclean
Rok vydání:	1979
Předmět:	Statistics and Probability Work (thermodynamics) Mathematical optimization Covariance matrix Estimation theory Applied Mathematics Modeling and Simulation Multiple response Key (cryptography) Gravitational singularity Mathematics
Zdroj:	Technometrics. 21:291-298
ISSN:	1537-2723 0040-1706
DOI:	10.1080/00401706.1979.10489772
Popis:	Care is required when analysing multiple response data if misleading results are to be avoided. Box et al. [4] have warned of errors in analysis resulting from linear relationships among the response data, and have provided a detection procedure. This is effective for most situations; however, we have encountered two cases that require additional consideration. This paper extends the work of Box et al. to include these cases. The key issue is the detection of singularities in the multiresponse dispersion matrix, and a procedure for this is presented. The situation is also discussed in which linear dependencies in the data may be ignored to advantage. Illustrations are from chemical kinetics investigations.
Databáze:	OpenAIRE
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