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. 2015 Sep 30;15(10):25385–25398. doi: 10.3390/s151025385

Table 1.

Calculated statistical results including error variance and coefficient of determination and both angle positions obtained by fitting methods based on asymmetric, 24th-order polynomial and sigmoid-asymmetric equation for a full SPR curve. The SPR curve was experimentally obtained with water and air as bulk fluids on the sensing film, where N.A.: not available.

Bulk Fluid Region Fitting Method Coefficient of Determination Error Variance (×10−4) Angle (°)
Water Resonance angle Asymmetric 0.999 0.268 66.6303
24th order polynomial 0.999 0.020 66.6303
Sigmoid-asymmetric 0.999 0.037 66.6189
Critical angle Asymmetric 0.536 1.189 N.A
24th order polynomial 0.998 0.004 N.A
Sigmoid-asymmetric 0.995 0.014 61.8309
Air Resonance angle Asymmetric 0.981 3.177 42.5929
24th order polynomial 0.947 8.881 42.6955
Sigmoid-asymmetric 0.997 0.499 42.6100
Critical angle Asymmetric 0.773 0.960 N.A
24th order polynomial 0.412 2.488 N.A
Sigmoid-asymmetric 0.985 0.065 41.3208