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. Author manuscript; available in PMC: 2016 Jan 20.
Published in final edited form as: Comput Stat Data Anal. 2013 Nov;67:199–212. doi: 10.1016/j.csda.2013.05.011

Table 3. Linear model: results of parameter estimates using Cox PH model and the proposed model.

α1 α2 angle (β̂,β0)



bias SD SEE CP RE bias SD SEE CP RE mean SD
N = 1000, censoring rate = 80%, 200 cases

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

N = 2000, censoring rate = 80%, 400 cases

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.