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. 2017 May 18;19(1):54–70. doi: 10.1093/biostatistics/kxx024

Table 2.

Summary of simulation studies with general left-truncated data. EST: empirical mean; SD: empirical standard deviation; ESE: average of asymptotic standard error estimates

        Proposed method Naive method
N CENSOR PARA TRUE EST SD ESE EST SD
300 0% Inline graphic 1.2 1.20 0.14 0.15 1.05 0.14
    Inline graphic 1.0 1.03 0.29 0.27 1.09 0.29
    Inline graphic 1.0 0.98 0.46 0.49 0.85 0.47
    Inline graphic -0.5 -0.50 0.15 0.14 -0.50 0.15
    Inline graphic 1.0 1.01 0.25 0.25 1.00 0.26
    Inline graphic 1.0 1.01 0.06 0.06 1.02 0.05
    Inline graphic 2.8 2.78 0.24 0.24 2.46 0.15
  10% Inline graphic 1.2 1.22 0.17 0.18 1.88 0.21
    Inline graphic 1.0 1.05 0.34 0.31 1.02 0.42
    Inline graphic 1.0 0.98 0.52 0.56 1.02 0.68
    Inline graphic -0.5 -0.50 0.17 0.17 -0.41 0.15
    Inline graphic 1.0 1.00 0.29 0.29 0.82 0.26
    Inline graphic 1.0 1.01 0.06 0.06 1.02 0.05
    Inline graphic 2.8 2.78 0.24 0.24 2.46 0.15
  30% Inline graphic 1.2 1.27 0.24 0.26 2.50 0.52
    Inline graphic 1.0 1.10 0.49 0.46 1.02 0.99
    Inline graphic 1.0 0.97 0.75 0.76 1.22 1.09
    Inline graphic -0.5 -0.50 0.21 0.21 -0.34 0.17
    Inline graphic 1.0 1.01 0.35 0.36 0.69 0.28
    Inline graphic 1.0 1.00 0.06 0.06 1.02 0.05
    Inline graphic 2.8 2.79 0.23 0.24 2.46 0.15
600 0% Inline graphic 1.2 1.20 0.10 0.11 1.05 0.10
    Inline graphic 1.0 1.01 0.21 0.18 1.07 0.20
    Inline graphic 1.0 0.98 0.33 0.35 0.85 0.33
    Inline graphic -0.5 -0.50 0.10 0.10 -0.50 0.10
    Inline graphic 1.0 1.01 0.17 0.17 1.01 0.17
    Inline graphic 1.0 1.00 0.04 0.04 1.01 0.03
    Inline graphic 2.8 2.79 0.17 0.17 2.47 0.10
  10% Inline graphic 1.2 1.21 0.12 0.13 1.86 0.15
    Inline graphic 1.0 1.02 0.24 0.21 1.00 0.29
    Inline graphic 1.0 0.97 0.37 0.41 0.99 0.49
    Inline graphic -0.5 -0.50 0.12 0.12 -0.40 0.10
    Inline graphic 1.0 1.01 0.20 0.20 0.83 0.17
    Inline graphic 1.0 1.00 0.04 0.04 1.01 0.03
    Inline graphic 2.8 2.78 0.16 0.18 2.47 0.10
  30% Inline graphic 1.2 1.23 0.17 0.17 2.41 0.23
    Inline graphic 1.0 1.04 0.33 0.28 0.95 0.44
    Inline graphic 1.0 0.98 0.50 0.54 1.19 0.72
    Inline graphic -0.5 -0.50 0.15 0.15 -0.34 0.11
    Inline graphic 1.0 1.01 0.25 0.25 0.70 0.20
    Inline graphic 1.0 1.00 0.04 0.04 1.01 0.03
    Inline graphic 2.8 2.79 0.16 0.18 2.47 0.10