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Using Singular Value Decomposition in Non-Linear Regression

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COMPSTAT
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Abstract

The explicit form of a non-linear model may not be known. However, in some cases, it is known that there is an underlying non-linear relationship, which varies from individual to individual by means of differing scale parameters; when the form of the underlying relationship is known, this is known as a parallel curve analysis. This analysis can be extended to fit general functions (general parallel curves) that are only specified at a set of x-values. Such models can be fitted using Singular Value Decomposition. Two examples of the use of general parallel curves are presented. The first involves a study of wheat growth, the second, the detection of pesticide interactions.

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© 1998 Springer-Verlag Berlin Heidelberg

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Brain, P. (1998). Using Singular Value Decomposition in Non-Linear Regression. In: Payne, R., Green, P. (eds) COMPSTAT. Physica, Heidelberg. https://doi.org/10.1007/978-3-662-01131-7_21

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  • DOI: https://doi.org/10.1007/978-3-662-01131-7_21

  • Publisher Name: Physica, Heidelberg

  • Print ISBN: 978-3-7908-1131-5

  • Online ISBN: 978-3-662-01131-7

  • eBook Packages: Springer Book Archive

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