Overcoming multicollinearity by deducting errors from the dependent variable

Citation
H. Pasternak et al., Overcoming multicollinearity by deducting errors from the dependent variable, J QUAN SPEC, 69(6), 2001, pp. 761-768
Citations number
11
Categorie Soggetti
Spectroscopy /Instrumentation/Analytical Sciences
Journal title
JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER
ISSN journal
00224073 → ACNP
Volume
69
Issue
6
Year of publication
2001
Pages
761 - 768
Database
ISI
SICI code
0022-4073(20010615)69:6<761:OMBDEF>2.0.ZU;2-K
Abstract
A method to overcome multicollinearity, based on deduction of the stochasti c disturbance from the dependent variable, was developed. This method resul ted in a marked increase in the coefficient of determination - R-2 associat ed with the "corrected dependent variable". Simulation results revealed tha t the proposed method yielded good estimation of those stochastic disturban ce. The resulting "corrected" dependent variable may be incorporated into s ome of the existing methods for overcoming multicollinearity. Application o f least-squares regression to the "corrected" dependent variable yields est imators of normal size, and the predictive ability of the derived equation is excellent. (C) 2001 Elsevier Science Ltd. All rights reserved.