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. 2012 Aug 7;20(3):453–461. doi: 10.1136/amiajnl-2011-000735

Table 3.

Absolute difference between SPARK and SAS estimates for intercept and five covariates, based on a simple bootstrap of 5000 replicates*, with a recorded precision of 10e-9 for estimates

No of covariates Type Estimate Maximum absolute difference between estimates (×10e-6)
Parameters b0 b1 b2 b3 b4 b5
5 iid 0.073 0.257 0.082 0.094 0.117 0.017
Correlated 0.060 0.229 0.133 0.061 0.084 0.158
Binary 0.071 0.447 0.110 0.079 0.233 0.126
10 iid 0.555 2.050 0.589 0.162 0.716 0.740
Correlated 0.025 0.089 0.032 0.017 0.036 0.059
Binary 0.023 0.072 0.025 0.024 0.027 0.027
15 iid* 0.930 4.340 0.980 0.807 1.850 1.510
Correlated 0.016 0.075 0.041 0.028 0.030 0.027
Binary 0.049 0.120 0.034 0.034 0.042 0.028
20 iid 0.021 0.093 0.026 0.040 0.033 0.028
Correlated 0.041 0.200 0.087 0.017 0.094 0.058
Binary 0.114 1.330 0.334 0.220 0.530 0.360
Std errors se0 se1 se2 se3 se4 se5
5 iid 0.017 0.069 0.020 0.023 0.031 0.024
Correlated 0.015 0.057 0.035 0.018 0.020 0.037
Binary 0.032 0.206 0.029 0.019 0.107 0.032
10 iid 0.376 1.504 0.429 0.142 0.524 0.533
Correlated 0.006 0.019 0.007 0.005 0.007 0.015
Binary 0.004 0.017 0.004 0.004 0.005 0.005
15 iid* 1.548 8.500 1.960 1.577 2.860 1.790
Correlated 0.002 0.018 0.005 0.003 0.005 0.004
Binary 0.005 0.009 0.003 0.002 0.004 0.003
20 iid 0.005 0.025 0.006 0.002 0.009 0.008
Correlated 0.009 0.052 0.023 0.005 0.026 0.019
Binary 0.073 1.239 0.301 0.205 0.514 0.340
*

Replicates in which complete or quasi-complete separation was detected in SAS were excluded. This occurred in less than 2.5% of replicates for all but the dataset with 15 iid covariates, in which separation was detected in 16.6% of replicates.

iid, independent identically distributed.