Table 4 Sensitivity analysis of the ‘proposed’ method depending on the underlying frailty distribution in terms of the averages of the relative bias (r.Bias) as well as the standard errors (SEM) and coverage probability (CP) when the type of the regression coefficients is ‘even’ and the LTF proportion is ‘moderate’
|  |  | N(0,0.01) | U(−0.173,0.173) | DE(0.007) | G(100.5,0.01) | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Â | Â | (LTF(%)=34.2) | (LTF(%)=34.4) | (LTF(%)=34.5) | (LTF(%)=34.5) | ||||||||
Parameter | True value | r.Bias (%) | SEM (×105) | CP (%) | r.Bias (%) | SEM (×105) | CP (%) | r.Bias (%) | SEM (×105) | CP (%) | r.Bias (%) | SEM (×105) | CP (%) |
α 01 | 0.01 | 18.8 | 15299 | 94.0 | 40.9 | 15169 | 94.2 | 36.7 | 15215 | 94.8 | -28.7 | 15089 | 96.2 |
α 02 | 0.01 | 1.3 | 24633 | 93.2 | -83.8 | 24639 | 97.0 | 89.0 | 24401 | 94.4 | 45.0 | 24623 | 96.6 |
α 03 | 0.01 | -143.8 | 17210 | 94.4 | 58.9 | 17266 | 93.8 | -110.5 | 16925 | 93.8 | 119.9 | 17198 | 93.6 |
α 12 | 0.01 | 181.1 | 25925 | 96.4 | -27.9 | 26141 | 94.8 | 27.1 | 26318 | 93.2 | 159.3 | 25682 | 95.2 |
α 32 | 0.01 | -16.5 | 33404 | 95.4 | -80.1 | 33158 | 94.0 | -22.5 | 33619 | 94.0 | -82.4 | 33595 | 91.8 |
β 01 | 0.004 | -4.3 | 91 | 94.8 | -5.8 | 90 | 94.0 | -3.3 | 91 | 94.0 | -6.7 | 90 | 92.2 |
β 02 | 0.004 | 2.7 | 99 | 96.4 | 4.9 | 100 | 94.8 | 5.4 | 101 | 97.0 | 4.4 | 99 | 95.4 |
β 03 | 0.004 | -2.2 | 109 | 93.2 | -2.9 | 109 | 91.0 | -2.8 | 110 | 94.4 | -2.9 | 108 | 91.8 |
β 12 | 0.004 | 0.1 | 111 | 96.6 | 2.3 | 111 | 95.0 | 0.6 | 110 | 94.8 | -0.3 | 111 | 95.6 |
β 32 | 0.004 | 8.0 | 174 | 97.0 | 0.8 | 169 | 96.0 | 2.9 | 171 | 96.8 | 5.2 | 170 | 96.4 |
σ 2 | 0.01 | 955.8 | 8431 | 89.2 | 974.2 | 8325 | 89.4 | 926.1 | 8284 | 89.6 | 928.7 | 8462 | 89.2 |