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 =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% |