Table 3. Linear model: results of parameter estimates using Cox PH model and the proposed model.
α1 | α2 | angle (β̂,β0) | ||||||||||
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bias | SD | SEE | CP | RE | bias | SD | SEE | CP | RE | mean | SD | |
N = 1000, censoring rate = 80%, 200 cases | ||||||||||||
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Cox PH | 0.034 | 0.154 | 0.150 | 0.962 | NA | -0.072 | 0.274 | 0.263 | 0.952 | NA | 4.780 | 2.650 |
plSI | 0.069 | 0.168 | 0.157 | 0.956 | 0.907 | -0.144 | 0.298 | 0.278 | 0.954 | 0.898 | 5.150 | 2.820 |
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N = 2000, censoring rate = 80%, 400 cases | ||||||||||||
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Cox PH | 0.019 | 0.101 | 0.103 | 0.958 | NA | -0.041 | 0.179 | 0.181 | 0.956 | NA | 3.213 | 1.665 |
plSI | 0.034 | 0.105 | 0.105 | 0.952 | 0.958 | -0.072 | 0.186 | 0.185 | 0.956 | 0.955 | 3.320 | 1.700 |
bias: empirical bias; SD: sample standard deviation; SEE: standard error estimate; CP: empirical coverage probability of 95% confidence interval; RE: relative efficiency; N: cohort size; plSI: partially linear single index model.