A General Procedure for Linear and Quadratic Regression Model Identification

M Shacham, H Shore, N Brauner

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review


A new regression procedure is developed for identification of linear and quadratic models. The new procedure uses indicators based on signal-to-noise ratio, as well as more traditional indicators, to validate the models. Various traditional stages in the modeling process, like stepwise regression, outlier detection and removal and variable transformations, are pursued, however the interdependence between these stages is accounted for to ensure detection of the best model (or subset of models).

Three examples are presented, where the proposed procedure is implemented. Some of the models identified have better goodness-of-fit than those reported in the literature. Furthermore, for two of the examples, complex quadratic models were identified that in fact model also the stochastic experimental error. While traditional indicators failed to signal the invalidity of these models, signal-to-noise ratio indicators, based on realistic noise estimates detected such over-fitting.
Original languageEnglish GB
Title of host publicationInternational Conference of Computational Methods in Sciences and Engineering 2004 (ICCMSE 2004)
PublisherCRC Press
Number of pages3
ISBN (Electronic)9780429081385
StatePublished - 2004


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