Table 2.

Simulation results using different combinations of range parameters and sample sizes. Reported numbers are averaged over 1000 simulations with measurement error variance 0.5.

Range* ( ${\tau }_{G_1}$)	Sample size 250				Sample Size 100
	OLS	LME	GAM	Proposed	OLS	LME	GAM	Proposed
Estimated coefficient
0.1	1.860	1.511	0.976	1.952	1.859	1.831	1.037	1.947
0.3	1.861	1.495	0.975	1.951	1.859	1.824	1.045	1.948
0.5	1.860	1.522	0.980	1.950	1.860	1.831	1.036	1.949
Empirical standard error
0.1	0.045	0.536	0.217	0.046	0.066	0.088	0.344	0.069
0.3	0.047	0.541	0.207	0.048	0.067	0.099	0.349	0.072
0.5	0.046	0.530	0.209	0.046	0.066	0.095	0.342	0.068
Average of estimated standard errors
0.1	0.038	0.051	0.083	0.046	0.061	0.064	0.132	0.099
0.3	0.038	0.051	0.081	0.045	0.060	0.064	0.130	0.099
0.5	0.037	0.050	0.081	0.045	0.060	0.063	0.130	0.098
Average of simulated standard errors
0.1	—	—	—	0.046	—	—	—	0.101
0.3	—	—	—	0.046	—	—	—	0.101
0.5	—	—	—	0.045	—	—	—	0.099

${\tau }_{G_1}$: values of the range parameter following exponential correlation in G₁(s_i).