Table 1.

Comparison of MSE values and running time of different methods on simulation data.

Method	MSE values	Running time/Processor specs
Our Bayesian spline method	$7.27\times {10}^{-5}$	$<$ 20 min (84s per iteration) / iMac CPU with 2.9GHz Intel Core i5 processor
BSGLMM (Ge et al., 2014)	$5.22\times {10}^{-5}$	≅ 293 min /NVIDIA Tesla K80 GPU with 12 GB
$\text{Average}$	$18.79\times {10}^{-5}$	$<$ 1 s /iMac CPU with 2.9GHz Intel Core i5 processor
$\text{Smoothed\_Average}(\sigma =0.5)$	$3.86\times {10}^{-5}$	≅ 8 s /iMac CPU with 2.9GHz Intel Core i5 processor
$\text{Smoothed\_Average}(\sigma =1.5)$	$8.56\times {10}^{-5}$	≅ 11 s /iMac CPU with 2.9GHz Intel Core i5 processor
$\text{Smoothed\_Average}(\sigma =3)$	$33.71\times {10}^{-5}$	≅ 17 s /iMac CPU with 2.9GHz Intel Core i5 processor