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. 2019 Sep 23;22(2):381–401. doi: 10.1093/biostatistics/kxz036

Table 3.

Comparisons of Inline graphic, Inline graphic, and Inline graphic for estimating Inline graphic with respect to average computation time in seconds, GMSE (Inline graphic), coefficient-specific empirical probability (%) of Inline graphic, bias (Inline graphic), MSE (Inline graphic), and empirical coverage probability (%) of the confidence intervals

    Inline graphic Inline graphic Inline graphic
    Inline graphic Inline graphic Inline graphic Inline graphic Inline graphic Inline graphic Inline graphic Inline graphic Inline graphic
  Inline graphic Inline graphic Inline graphic Inline graphic     Inline graphic Inline graphic Inline graphic     Inline graphic Inline graphic Inline graphic    
    Inline graphic
  TIME 4.5 8.7 12.9 461 1554 5.9 9.8 13.7 497 1628 5.2 9.1 12.9 499 1657
  GMSE 7.27 7.24 7.24 7.22 870 6.92 6.86 6.86 6.84 1176 7.21 7.12 7.12 7.17 4452
Inline graphic %zero 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  Bias 1.14 1.59 1.59 1.60 97.8 1.47 2.07 2.07 2.11 110 4.82 5.45 5.45 1.39 219
  MSE 0.53 0.53 0.53 0.53 10.1 0.71 0.71 0.71 0.71 12.8 1.70 1.70 1.70 1.68 49.6
  CovP 94.4 94.8 94.8 94.5 94.9 94.9 94.5 94.8 94.8
Inline graphic %zero 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  Bias 0.72 0.94 0.94 1.14 98.3 1.61 1.90 1.90 2.02 108 3.63 3.95 3.95 1.06 206
  MSE 0.50 0.50 0.50 0.50 10.2 0.76 0.76 0.76 0.75 12.4 1.65 1.65 1.65 1.66 44.2
  CovP 95.0 95.1 95.1 95.0 95.1 95.1 95.0 95.1 95.1
Inline graphic %zero 0 0 0 0 61.6 0 0 0 0 100 0 0 0 0 100
  Bias –4.21 –4.16 –4.16 –4.21 Inline graphic407 –5.65 –5.55 –5.55 –5.52 Inline graphic500 –11.4 –11.3 –11.3 –7.22 Inline graphic500
  MSE 0.50 0.50 0.50 0.49 180 0.71 0.71 0.71 0.70 250 2.08 2.07 2.07 2.05 250
  CovP 95.2 95.2 95.2 94.8 94.9 94.9 91.5 91.7 91.7
Inline graphic %zero 100 100 100 100 100 100 100 100 100 100 99.9 100 100 100 100
  Bias 0 0 0 0 0 0 0 0 0 0 0.09 0 0 0 0
  MSE 0 0 0 0 0 0 0 0 0 0 0.01 0 0 0 0
    Inline graphic
  TIME 14.0 26.5 38.9 696 2755 22.9 43.9 64.9 920 3465 28.7 55.3 81.8 1051 3764
  GMSE 7.53 7.29 7.29 7.28 1496 7.58 7.05 7.05 7.03 1300 8.38 7.46 7.46 7.67 12696
Inline graphic %zero 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  Bias –0.02 2.00 2.00 2.07 139 0.84 3.59 3.59 3.58 125.2 5.70 8.81 8.81 0.58 172
  MSE 0.54 0.54 0.54 0.54 19.8 0.80 0.79 0.79 0.79 16.5 1.62 1.67 1.67 1.62 31.2
  CovP 95.4 94.9 94.9 94.8 94.9 94.9 96.3 96.2 96.2
Inline graphic %zero 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  Bias –0.02 0.99 0.99 1.08 142 0.15 1.59 1.59 1.77 122 3.94 5.37 5.37 5.56 151
  MSE 0.49 0.49 0.49 0.49 20.8 0.75 0.75 0.75 0.74 15.8 1.72 1.73 1.73 1.79 25.1
  CovP 96.4 96.4 96.4 95.4 95.2 95.2 95.1 95.3 95.3
Inline graphic %zero 0 0 0 0 99.1 0 0 0 0 100 0 0 0 0 100
  Bias –6.39 –6.07 –6.07 –6.08 Inline graphic498 –8.32 –7.92 –7.92 –7.83 Inline graphic500 –18.5 –18.1 –18.1 –15.4 Inline graphic500
  MSE 0.59 0.57 0.57 0.57 249 0.84 0.82 0.82 0.82 250 2.38 2.38 2.38 2.43 250
  CovP 93.6 93.2 93.2 93.1 93.5 93.5 90.5 91.0 91.0
Inline graphic %zero 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100
  Bias 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
  MSE 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0