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,