Articles | Volume 11, issue 2
https://doi.org/10.5194/amt-11-1233-2018
https://doi.org/10.5194/amt-11-1233-2018
Research article
 | 
02 Mar 2018
Research article |  | 02 Mar 2018

Evaluation of linear regression techniques for atmospheric applications: the importance of appropriate weighting

Cheng Wu and Jian Zhen Yu

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Cited articles

Ayers, G. P.: Comment on regression analysis of air quality data, Atmos. Environ., 35, 2423–2425, https://doi.org/10.1016/S1352-2310(00)00527-6, 2001. 
Bauer, J. J., Yu, X.-Y., Cary, R., Laulainen, N., and Berkowitz, C.: Characterization of the sunset semi-continuous carbon aerosol analyzer, J. Air Waste Manage., 59, 826–833, https://doi.org/10.3155/1047-3289.59.7.826, 2009. 
Boggs, P. T., Donaldson, J. R., and Schnabel, R. B.: Algorithm 676: ODRPACK: software for weighted orthogonal distance regression, ACM T. Math. Software, 15, 348–364, https://doi.org/10.1145/76909.76913, 1989. 
Brauers, T. and Finlayson-Pitts, B. J.: Analysis of relative rate measurements, Int. J. Chem. Kinet., 29, 665–672, https://doi.org/10.1002/(SICI)1097-4601(1997)29:9<665::AID-KIN3>3.0.CO;2-S, 1997. 
Cantrell, C. A.: Technical Note: Review of methods for linear least-squares fitting of data and application to atmospheric chemistry problems, Atmos. Chem. Phys., 8, 5477–5487, https://doi.org/10.5194/acp-8-5477-2008, 2008. 
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Short summary
A new data generation scheme that employs the Mersenne twister (MT) pseudorandom number generator is proposed to conduct benchmark tests on a variety of linear regression techniques. With an appropriate weighting, Deming regression (DR), weighted ODR (WODR), and York regression (YR) are recommended for atmospheric studies when both x and y data have measurement errors. An Igor-based program (Scatter Plot) is developed to facilitate the regression implementation.