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. Author manuscript; available in PMC: 2020 Apr 17.
Published in final edited form as: Stat Methods Med Res. 2017 Jul 3;28(1):134–150. doi: 10.1177/0962280217717760

Table 5.

Simulation results for Normal outcome with number of repeated measures ni = 3. Bias, mean square error (MSE) and 95% coverage probability (95% CP) for simulations with λ=λ0n(λ0 =0, 0.01, 0.05, 0.1, and 1)

LASSO Models Ignorable Moderate nonignorable Strong nonignorable
λ0 Parameter Bias MSE 95% CP Bias MSE 95% CP Bias MSE 95% CP
0 β0 −0.003 0.017 94.5% −0.007 0.016 95.5% 0.001 0.016 96.5%
β1 −0.014 0.032 93.9% −0.010 0.030 96.4% −0.023 0.030 95.0%
β2 0.012 0.009 86.4% −0.022 0.008 88.8% −0.043 0.011 84.8%
0.01 β0 −0.002 0.017 94.3% −0.006 0.016 95.9% 0.002 0.016 96.5%
β1 −0.014 0.032 94.1% −0.012 0.029 95.7% −0.024 0.030 94.8%
β2 0.011 0.009 86.5% −0.024 0.008 88.5% −0.045 0.011 84.9%
0.05 β0 −0.002 0.017 93.7% −0.006 0.016 95.1% 0.004 0.016 96.7%
β1 −0.013 0.032 93.9% −0.011 0.029 96.2% −0.030 0.030 94.2%
β2 0.009 0.008 87.6% −0.031 0.008 88.2% −0.058 0.012 80.5%
0.1 β0 −0.002 0.017 93.8% −0.003 0.016 95.0% 0.008 0.016 96.1%
β1 −0.011 0.032 93.4% −0.017 0.029 95.9% −0.039 0.030 94.0%
β2 0.009 0.008 88.6% −0.041 0.008 88.0% −0.073 0.013 75.5%
1 β0 0.001 0.017 93.2% 0.009 0.016 95.2% 0.037 0.017 93.4%
β1 −0.011 0.032 92.8% −0.037 0.029 94.8% −0.087 0.033 91.3%
β2 0.001 0.005 94.0% −0.094 0.014 71.9% −0.157 0.030 34.8%
Ridge Models Ignorable Moderate nonignorable Strong nonignorable
λ0 Parameter Bias MSE 95% CP Bias MSE 95% CP Bias MSE 95% CP
0 β0 −0.003 0.017 94.5% −0.007 0.016 95.1% 0.001 0.016 95.8%
β1 −0.014 0.032 93.9% −0.010 0.030 96.4% −0.023 0.030 95.0%
β2 0.012 0.009 86.4% −0.022 0.008 88.8% −0.043 0.011 84.8%
0.01 β0 −0.003 0.017 94.7% −0.006 0.016 95.6% 0.002 0.016 95.7%
β1 −0.013 0.032 93.9% −0.011 0.029 96.6% −0.026 0.030 94.4%
β2 0.011 0.009 86.8% −0.024 0.008 88.2% −0.049 0.011 84.6%
0.05 β0 −0.002 0.017 94.2% −0.003 0.016 95.3% 0.006 0.016 96.3%
β1 −0.012 0.032 94.2% −0.014 0.029 96.1% −0.035 0.029 94.0%
β2 0.010 0.008 88.5% −0.034 0.008 89.1% −0.067 0.012 81.5%
0.1 β0 −0.002 0.017 93.2% −0.001 0.016 95.3% 0.010 0.016 96.0%
β1 −0.012 0.032 94.0% −0.018 0.029 96.1% −0.043 0.029 93.6%
β2 0.009 0.008 89.2% −0.042 0.008 89.1% −0.081 0.014 79.0%
1 β0 0.000 0.017 93.4% 0.005 0.016 95.2% 0.030 0.017 94.0%
β1 −0.011 0.032 93.0% −0.030 0.029 94.8% −0.076 0.031 92.8%
β2 0.004 0.005 94.6% −0.078 0.011 79.7% −0.137 0.024 45.9%