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. Author manuscript; available in PMC: 2008 Dec 11.
Published in final edited form as: Biometrika. 2008 Dec;95(4):947–960. doi: 10.1093/biomet/asn049

Table 5.

Averages and SEs of ρ and the model-based Kendall’ τ when the correct model (13) with various true θ is misspecified to the semiparametric normal model (4) with parameter ρ to estimate.

θ True Kendall’s Censoring ρ Model-based τ

τ ρ̂ SEe SEm tau SEe SEm
4 0.614 Censoring on T1 only 0.840 0.020 0.014 0.620 0.024 0.016
Univariate censoring 0.839 0.026 0.021 0.619 0.028 0.022
Bivariate censoring 0.820 0.033 0.030 0.608 0.033 0.026

2 0.500 Censoring on T1 only 0.696 0.042 0.038 0.490 0.035 0.030
Univariate censoring 0.685 0.063 0.057 0.487 0.050 0.041
Bivariate censoring 0.693 0.064 0.057 0.492 0.052 0.043

1 0.333 Censoring on T1 only 0.500 0.060 0.059 0.339 0.044 0.041
Univariate censoring 0.483 0.076 0.077 0.320 0.056 0.053
Bivariate censoring 0.493 0.077 0.072 0.327 0.058 0.051

0.5 0.199 Censoring on T1 only 0.313 0.067 0.072 0.209 0.046 0.048
Univariate censoring 0.291 0.084 0.078 0.194 0.054 0.062
Bivariate censoring 0.297 0.087 0.079 0.196 0.057 0.064

SEe, empirical standard errors; SEm, model-based standard errors,