2016
DOI: 10.1002/2016gl070852
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Artificial bias typically neglected in comparisons of uncertain atmospheric data

Abstract: Publications in atmospheric sciences typically neglect biases caused by regression dilution (bias of the ordinary least squares line fitting) and regression to the mean (RTM) in comparisons of uncertain data. We use synthetic observations mimicking real atmospheric data to demonstrate how the biases arise from random data uncertainties of measurements, model output, or satellite retrieval products. Further, we provide examples of typical methods of data comparisons that have a tendency to pronounce the biases.… Show more

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Cited by 34 publications
(38 citation statements)
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References 20 publications
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“…However, the regression method suffers from the regression dilution effect, which means that the regression slope tends to be biased toward zero, which causes an underestimated scaling factor [64]. The underestimated scaling factor will in turn produce a "flat" time series.…”
Section: Comparison With Other Fusion Methodsmentioning
confidence: 99%
“…However, the regression method suffers from the regression dilution effect, which means that the regression slope tends to be biased toward zero, which causes an underestimated scaling factor [64]. The underestimated scaling factor will in turn produce a "flat" time series.…”
Section: Comparison With Other Fusion Methodsmentioning
confidence: 99%
“…However, when validating satellite products against AERONET one should bear in mind that the AERONET data are not errorless, and even small uncertainties in the reference data may cause biases and affect the conclusions, especially when using regression analysis, as recently discussed by Pitkänen et al (2016). In this paper we show linear regression lines on some plots but avoid making far-reaching conclusions based on these.…”
Section: T H Virtanen Et Al: Collocation Mismatch Uncertaintiesmentioning
confidence: 97%
“…(Note that a quadratic fit is not required; it provides barely any improvement.) The relatively small value of the slope is the result of an effect termed "regression dilution" or "regression attenuation" (Cantrell, 2008;Pitkäinen et al, 2016), which results from neglecting the measurement error in the x component of the regression pair. This problem can be overcome using a bivariate regression which accounts for errors in both components of the data pairs (see Appendix).…”
Section: Regression-based Intercalibrationmentioning
confidence: 99%
“…Bivariate regression is a method to avoid regression dilution (Cantrell, 2008;Pitkäinen et al, 2016), but not for the derivation of corrections. Further information on bivariate regression for general cases can be found in York et al (2004), who provide unified equations for general least squares regression methods.…”
Section: Appendix A: Bivariate Regressionmentioning
confidence: 99%