Journal ArticleDOI
Principal component regression, ridge regression and ridge principal component regression in spectroscopy calibration
TLDR
In this paper, the authors compared the performance of ridge regression and principal component regression (PCR) on spectral data with OLS and partial least squares (PLS) on the basis of two data sets.Abstract:
Ridge regression (RR) and principal component regression (PCR) are two popular methods intended to overcome the problem of multicollinearity which arises with spectral data. The present study compares the performances of RR and PCR in addition to ordinary least squares (OLS) and partial least squares (PLS) on the basis of two data sets. An alternative procedure that combines both PCR and RR is also introduced and is shown to perform well. Furthermore, the performance of the combination of RR and PCR is stable in so far as sufficient information is taken into account. This result suggests discarding those components that are unquestionably identified as noise, when the ridge constant tackles the degeneracy caused by components with small variances.read more
Citations
More filters
Journal ArticleDOI
Collinearity: a review of methods to deal with it and a simulation study evaluating their performance
Carsten F. Dormann,Jane Elith,Sven Bacher,Carsten M. Buchmann,Gudrun Carl,Gabriel Carré,Jaime Ricardo García Márquez,Bernd Gruber,Bruno Lafourcade,Pedro J. Leitão,Tamara Münkemüller,Colin J. McClean,Patrick E. Osborne,Björn Reineking,Boris Schröder,Andrew K. Skidmore,Damaris Zurell,Sven Lautenbach +17 more
TL;DR: It was found that methods specifically designed for collinearity, such as latent variable methods and tree based models, did not outperform the traditional GLM and threshold-based pre-selection and the value of GLM in combination with penalised methods and thresholds when omitted variables are considered in the final interpretation.
Journal ArticleDOI
A colloidal quantum dot spectrometer
Jie Bao,Moungi G. Bawendi +1 more
TL;DR: It is shown that many of these limitations can be overcome by replacing interferometric optics with a two-dimensional absorptive filter array composed of colloidal quantum dots, which will be useful in applications where minimizing size, weight, cost and complexity of the spectrometer are critical.
Journal ArticleDOI
Bagging for Gaussian process regression
Tao Chen,Jianghong Ren +1 more
TL;DR: The bagging method for Gaussian process regression is successfully applied to the inferential estimation of quality variables in an industrial chemical plant and the prediction uncertainty of the models is automatically accounted for.
Journal ArticleDOI
Simultaneous spectrophotometric determination of paracetamol, ibuprofen and caffeine in pharmaceuticals by chemometric methods.
TL;DR: The proposed methods were successfully applied to pharmaceutical formulation, capsule, with no interference from excipients as indicated by the recovery study results and can be easily used in the quality control of drugs as alternative analysis tools.
Journal ArticleDOI
Multicollinearity in spatial genetics: separating the wheat from the chaff using commonality analyses.
TL;DR: This review illustrates how commonality analysis (CA), a detailed variance‐partitioning procedure that was recently introduced in the field of ecology, can be used to deal with nonindependence among spatial predictors and strongly urges spatial geneticists to systematically investigate commonalities when performing direct gradient analyses.
References
More filters
Book
Introduction to Linear Regression Analysis
TL;DR: In this paper, the authors propose a simple linear regression model with variable selection and multicollinearity for robust regression, and validate the model using regression analysis and validation of regression models.
Journal ArticleDOI
Applied regression analysis 2nd ed.
Norman R. Draper,Smith H +1 more
TL;DR: This book brings together a number of procedures developed for regression problems in current use and includes material that either has not previously appeared in a textbook or if it has appeared is not generally available.
Dissertation
Prediction de l'aptitude a l'agglomeration des aliments composes pour animaux par des methodes physiques
TL;DR: In this article, it was shown that l'aptitude a lagglomeration des aliments composes depend on the conduite de la presse, de la formulation, and de la composition chimique des matieres premieres.