Table C1. The size performance of the unit root tests when T = 50 and j = 1.
| Model 1 | Model 2 | Model 3 | Model 4 | |||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| κ | α | β | τ | τ | τ | τ | ||||||||
| 1 | 0 | 0 | 0.053 | 0.039 | 0.006 | 0.056 | 0.039 | 0.006 | 0.015 | 0.006 | 0.015 | 0.052 | 0.039 | 0.005 |
| 0 | 3 | 0.052 | 0.040 | 0.006 | 0.054 | 0.037 | 0.006 | 0.014 | 0.006 | 0.014 | 0.057 | 0.039 | 0.006 | |
| 0 | 5 | 0.056 | 0.040 | 0.005 | 0.054 | 0.041 | 0.006 | 0.014 | 0.006 | 0.014 | 0.050 | 0.038 | 0.007 | |
| 3 | 0 | 0.051 | 0.038 | 0.005 | 0.052 | 0.040 | 0.006 | 0.014 | 0.005 | 0.014 | 0.052 | 0.041 | 0.006 | |
| 3 | 3 | 0.053 | 0.041 | 0.006 | 0.051 | 0.039 | 0.006 | 0.014 | 0.006 | 0.014 | 0.052 | 0.042 | 0.006 | |
| 3 | 5 | 0.052 | 0.040 | 0.005 | 0.052 | 0.038 | 0.006 | 0.015 | 0.006 | 0.015 | 0.053 | 0.041 | 0.005 | |
| 5 | 0 | 0.052 | 0.041 | 0.005 | 0.052 | 0.039 | 0.006 | 0.014 | 0.006 | 0.013 | 0.052 | 0.039 | 0.006 | |
| 5 | 3 | 0.053 | 0.039 | 0.006 | 0.053 | 0.037 | 0.006 | 0.014 | 0.006 | 0.013 | 0.053 | 0.040 | 0.005 | |
| 5 | 5 | 0.053 | 0.038 | 0.006 | 0.053 | 0.039 | 0.006 | 0.015 | 0.006 | 0.014 | 0.055 | 0.042 | 0.005 | |
| 2 | 0 | 0 | 0.052 | 0.020 | 0.008 | 0.050 | 0.021 | 0.009 | 0.030 | 0.005 | 0.008 | 0.050 | 0.019 | 0.009 |
| 0 | 3 | 0.049 | 0.019 | 0.009 | 0.053 | 0.021 | 0.008 | 0.027 | 0.004 | 0.008 | 0.049 | 0.021 | 0.008 | |
| 0 | 5 | 0.054 | 0.022 | 0.009 | 0.051 | 0.021 | 0.007 | 0.026 | 0.005 | 0.008 | 0.049 | 0.019 | 0.008 | |
| 3 | 0 | 0.050 | 0.022 | 0.009 | 0.052 | 0.022 | 0.009 | 0.028 | 0.006 | 0.008 | 0.050 | 0.020 | 0.008 | |
| 3 | 3 | 0.049 | 0.019 | 0.008 | 0.051 | 0.021 | 0.009 | 0.028 | 0.006 | 0.008 | 0.049 | 0.020 | 0.008 | |
| 3 | 5 | 0.053 | 0.020 | 0.009 | 0.048 | 0.020 | 0.008 | 0.031 | 0.005 | 0.008 | 0.052 | 0.020 | 0.009 | |
| 5 | 0 | 0.049 | 0.022 | 0.009 | 0.053 | 0.022 | 0.009 | 0.028 | 0.005 | 0.008 | 0.049 | 0.019 | 0.008 | |
| 5 | 3 | 0.051 | 0.019 | 0.008 | 0.049 | 0.020 | 0.008 | 0.027 | 0.006 | 0.007 | 0.053 | 0.021 | 0.009 | |
| 5 | 5 | 0.050 | 0.019 | 0.008 | 0.049 | 0.021 | 0.010 | 0.028 | 0.005 | 0.007 | 0.054 | 0.022 | 0.009 | |
| 3 | 0 | 0 | 0.051 | 0.016 | 0.009 | 0.051 | 0.017 | 0.009 | 0.029 | 0.005 | 0.012 | 0.051 | 0.017 | 0.010 |
| 0 | 3 | 0.054 | 0.018 | 0.010 | 0.050 | 0.014 | 0.009 | 0.028 | 0.005 | 0.011 | 0.052 | 0.017 | 0.009 | |
| 0 | 5 | 0.049 | 0.017 | 0.010 | 0.052 | 0.017 | 0.009 | 0.028 | 0.006 | 0.013 | 0.052 | 0.016 | 0.010 | |
| 3 | 0 | 0.051 | 0.017 | 0.009 | 0.050 | 0.017 | 0.010 | 0.029 | 0.005 | 0.012 | 0.053 | 0.017 | 0.010 | |
| 3 | 3 | 0.055 | 0.018 | 0.010 | 0.054 | 0.016 | 0.009 | 0.030 | 0.005 | 0.011 | 0.050 | 0.016 | 0.008 | |
| 3 | 5 | 0.050 | 0.017 | 0.009 | 0.052 | 0.017 | 0.009 | 0.029 | 0.007 | 0.012 | 0.051 | 0.018 | 0.010 | |
| 5 | 0 | 0.053 | 0.017 | 0.010 | 0.051 | 0.016 | 0.009 | 0.027 | 0.005 | 0.010 | 0.050 | 0.016 | 0.009 | |
| 5 | 3 | 0.052 | 0.018 | 0.010 | 0.053 | 0.017 | 0.010 | 0.030 | 0.006 | 0.013 | 0.053 | 0.018 | 0.009 | |
| 5 | 5 | 0.051 | 0.017 | 0.009 | 0.049 | 0.016 | 0.010 | 0.030 | 0.005 | 0.012 | 0.052 | 0.018 | 0.009 | |
| [1,2] | 0 | 0 | 0.048 | 0.057 | 0.005 | 0.046 | 0.055 | 0.005 | 0.007 | 0.004 | 0.008 | 0.047 | 0.058 | 0.007 |
| 0 | 3 | 0.048 | 0.060 | 0.006 | 0.047 | 0.058 | 0.005 | 0.007 | 0.003 | 0.009 | 0.047 | 0.058 | 0.006 | |
| 0 | 5 | 0.048 | 0.058 | 0.006 | 0.047 | 0.057 | 0.006 | 0.007 | 0.004 | 0.008 | 0.045 | 0.055 | 0.006 | |
| 3 | 0 | 0.048 | 0.059 | 0.005 | 0.047 | 0.058 | 0.005 | 0.005 | 0.003 | 0.009 | 0.046 | 0.055 | 0.005 | |
| 3 | 3 | 0.047 | 0.055 | 0.006 | 0.049 | 0.058 | 0.006 | 0.007 | 0.004 | 0.008 | 0.045 | 0.057 | 0.006 | |
| 3 | 5 | 0.046 | 0.057 | 0.005 | 0.047 | 0.059 | 0.005 | 0.005 | 0.004 | 0.010 | 0.046 | 0.056 | 0.007 | |
| 5 | 0 | 0.048 | 0.058 | 0.006 | 0.050 | 0.061 | 0.004 | 0.006 | 0.004 | 0.010 | 0.045 | 0.057 | 0.005 | |
| 5 | 3 | 0.049 | 0.059 | 0.005 | 0.047 | 0.060 | 0.005 | 0.006 | 0.004 | 0.009 | 0.052 | 0.061 | 0.005 | |
| 5 | 5 | 0.047 | 0.059 | 0.006 | 0.048 | 0.057 | 0.005 | 0.006 | 0.004 | 0.008 | 0.046 | 0.058 | 0.005 | |
| [1,2,3] | 0 | 0 | 0.050 | 0.074 | 0.003 | 0.052 | 0.073 | 0.003 | 0.004 | 0.004 | 0.004 | 0.052 | 0.075 | 0.003 |
| 0 | 3 | 0.049 | 0.076 | 0.003 | 0.048 | 0.072 | 0.003 | 0.004 | 0.005 | 0.004 | 0.051 | 0.071 | 0.003 | |
| 0 | 5 | 0.050 | 0.075 | 0.003 | 0.050 | 0.077 | 0.003 | 0.004 | 0.004 | 0.004 | 0.050 | 0.074 | 0.002 | |
| 3 | 0 | 0.050 | 0.077 | 0.003 | 0.052 | 0.076 | 0.003 | 0.004 | 0.004 | 0.005 | 0.051 | 0.074 | 0.003 | |
| 3 | 3 | 0.051 | 0.073 | 0.003 | 0.050 | 0.074 | 0.002 | 0.004 | 0.005 | 0.004 | 0.052 | 0.077 | 0.003 | |
| 3 | 5 | 0.051 | 0.076 | 0.002 | 0.050 | 0.075 | 0.003 | 0.004 | 0.004 | 0.003 | 0.048 | 0.071 | 0.003 | |
| 5 | 0 | 0.051 | 0.075 | 0.003 | 0.051 | 0.073 | 0.003 | 0.003 | 0.004 | 0.004 | 0.053 | 0.078 | 0.003 | |
| 5 | 3 | 0.051 | 0.076 | 0.002 | 0.050 | 0.074 | 0.003 | 0.004 | 0.004 | 0.004 | 0.050 | 0.074 | 0.003 | |
| 5 | 5 | 0.048 | 0.074 | 0.003 | 0.050 | 0.071 | 0.002 | 0.004 | 0.005 | 0.004 | 0.053 | 0.075 | 0.003 | |