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. 2017 Mar 31;16:11. doi: 10.1186/s12942-017-0085-9

Table 7.

Average variances and biases of β0 and β1 on a linear surface (single-type)

S/N of β0: OLS Basic GWR Local linear CGWR
1 5 1 5 1 5 1 5
(i) β0
Conditional on S/N of β1 = 1
Variance 0.009 0.011 0.039 0.067 0.051 0.052 0.024 0.036
Bias 0.029 0.028 0.002 0.004 0.0003 0.0002 0.001 0.0002
Conditional on S/N of β1 = 5
Variance 0.010 0.009 0.090 0.107 0.057 0.043 0.048 0.057
Bias 0.723 0.719 0.026 0.038 0.0005 0.0002 0.012 0.009
(ii) β1
Conditional on S/N of β1 = 1
Variance 0.031 0.036 0.113 0.190 0.146 0.145 0.071 0.117
Bias 0.038 0.695 0.013 0.051 0.001 0.0005 0.004 0.028
Conditional on S/N of β1 = 5
Variance 0.030 0.027 0.248 0.294 0.152 0.114 0.088 0.152
Bias 0.191 0.880 0.048 0.124 0.001 0.0002 0.004 0.010

The values (1, 5) indicate the signal/noise ratio