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. Author manuscript; available in PMC: 2020 Feb 4.
Published in final edited form as: Remote Sens Environ. 2016 Jan 12;Volume 185(Iss 1):57–70. doi: 10.1016/j.rse.2015.12.024

Table 2:

Surface reflectance sensor transformation functions (ETM+ to OLI and OLI to ETM+) derived by ordinary least squares (OLS) regression of the data illustrated in Figure 8, reduced major axis (RMA) regression coefficients, the number of 30m pixel values considered (n), the OLS regression coefficient of determination (r2), the OLS regression F-test p-value, the mean difference [2], the mean relative difference [4], and the root mean square deviation [3], between the OLI and ETM+ surface reflectance data.

Regression type Between sensor OLS transformation functions and RMA regression coefficients n OLS r2 (p-value) mean difference OLI – ETM+ (reflectance) mean relative difference OLI – ETM+ (%) root mean square deviation (reflectance)
Blue λ (∼0.48μm) RMA OLI = −0.0095 + 0.9785 ETM 29,607,256 0.750 (<0.0001) −0.0110 −22.32 0.0313
OLS OLI = 0.0003 + 0.8474 ETM+
OLS ETM+ = 0.0183 + 0.8850 OLI
Green λ (∼0.56μm) RMA OLI = −0.0016 + 0.9542 ETM 29,670,363 0.790 (<0.0001) −0.0060 −7.34 0.0317
OLS OLI = 0.0088 + 0.8483 ETM+
OLS ETM+ = 0.0123 + 0.9317 OLI
Red λ (∼0.66μm) RMA OLI = −0.0022 + 0.9825 ETM 29,505,658 0.848 (<0.0001) −0.0041 −5.12 0.0333
OLS OLI = 0.0061 + 0.9047 ETM+
OLS ETM+ = 0.0123 + 0.9372 OLI
Near infrared λ (∼0.85μm) RMA OLI = −0.0021 + 1.0073 ETM 29,618,412 0.706 (<0.0001) −0.0002 −0.19 0.0644
OLS OLI = 0.0412 + 0.8462 ETM+
OLS ETM+ = 0.0448 + 0.8339 OLI
Shortwave infrared λ (∼1.61μm) RMA OLI = −0.0030 + 1.0171 ETM 29,520,670 0.772 (<0.0001) 0.0009 0.03 0.0562
OLS OLI = 0.0254 + 0.8937 ETM+
OLS ETM+ = 0.0306 + 0.8639 OLI
Shortwave infrared λ (∼2.21μm) RMA OLI = 0.0029 + 0.9949 ETM 29,028,669 0.831 (<0.0001) 0.0021 1.52 0.0453
OLS OLI = 0.0172 + 0.9071 ETM+
OLS ETM+ = 0.0116 + 0.9165 OLI