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Table 3: Model performance measures for estimation of the sex effect (baseline risk 0.37)

From: “Spatial heterogeneity of environmental risk in randomized prevention trials: consequences and modeling”

RRb RRt Model Breeding site density
0.25 0.75
Population density Population density
0.2 0.8 0.2 0.8
Bias CR SR Bias CR SR Bias CR SR Bias CR SR
1.05 0.95 Cox-PH -0.009 1.00 0.00 -0.022 0.88 0.12 -0.013 0.96 0.04 0.004 0.92 0.08
GAM -0.009 1.00 0.00 -0.021 0.88 0.12 -0.013 0.96 0.04 0.005 0.92 0.08
Cox-SPDE -0.009 1.00 0.00 -0.024 0.88 0.12 -0.015 0.96 0.04 0.006 0.96 0.04
P-SPDE -0.008 1.00 0.00 -0.024 0.88 0.12 -0.014 0.96 0.04 0.005 0.96 0.04
0.80 Cox-PH -0.01 0.96 0.04 |< 0.001| 0.96 0.04 0.012 0.96 0.04 0.011 0.92 0.08
GAM -0.01 0.98 0.02 |< 0.001| 0.98 0.02 0.013 0.96 0.04 0.012 0.92 0.08
Cox-SPDE -0.01 0.96 0.04 0.001 0.98 0.02 0.014 0.96 0.04 0.013 0.94 0.06
P-SPDE -0.011 0.96 0.04 |< 0.001| 0.98 0.02 0.013 0.96 0.04 0.012 0.94 0.06
0.60 Cox-PH -0.024 0.98 0.02 0.004 0.98 0.02 0.002 0.92 0.08 |< 0.001| 0.94 0.06
GAM -0.024 0.98 0.02 0.003 0.98 0.02 0.003 0.92 0.08 0.002 0.94 0.06
Cox-SPDE -0.023 0.96 0.04 0.004 0.98 0.02 0.001 0.96 0.04 0.003 0.94 0.06
P-SPDE -0.023 0.96 0.04 0.005 0.98 0.02 0.001 0.98 0.02 0.003 0.94 0.06
0.25 Cox-PH -0.004 0.96 0.04 0.007 0.98 0.02 -0.006 0.94 0.06 -0.001 0.96 0.04
GAM -0.003 0.96 0.04 0.006 0.98 0.02 -0.007 0.94 0.06 -0.001 0.96 0.04
Cox-SPDE -0.005 0.96 0.04 0.008 0.98 0.02 -0.008 0.94 0.06 |< 0.001| 0.94 0.06
P-SPDE -0.005 0.96 0.04 0.008 0.98 0.02 -0.007 0.94 0.06 |< 0.001| 0.96 0.04
3 0.95 Cox-PH 0.002 0.98 0.02 -0.019 0.92 0.08 -0.026 0.92 0.08 0.003 0.96 0.04
GAM 0.002 0.98 0.02 -0.019 0.9 0.1 -0.028 0.92 0.08 0.004 0.96 0.04
Cox-SPDE 0.002 0.96 0.04 -0.022 0.9 0.1 -0.039 0.96 0.04 0.013 0.94 0.06
P-SPDE 0.003 0.96 0.04 -0.022 0.9 0.1 -0.042 0.94 0.06 0.014 0.94 0.06
0.80 Cox-PH 0.004 0.94 0.06 -0.008 0.94 0.06 -0.006 0.96 0.04 -0.004 0.96 0.04
GAM 0.005 0.94 0.06 -0.008 0.94 0.06 -0.009 0.94 0.06 -0.001 0.94 0.06
Cox-SPDE 0.005 0.92 0.08 -0.009 0.98 0.02 -0.01 0.96 0.04 0.002 0.96 0.04
P-SPDE 0.006 0.92 0.08 -0.009 0.96 0.04 -0.01 0.96 0.04 0.003 0.96 0.04
0.60 Cox-PH -0.016 0.98 0.02 0.002 0.98 0.02 -0.01 0.96 0.04 -0.007 0.9 0.1
GAM -0.018 0.98 0.02 0.003 0.96 0.04 -0.01 0.98 0.02 -0.004 0.92 0.08
Cox-SPDE -0.018 0.98 0.02 0.001 0.94 0.06 -0.014 0.96 0.04 -0.001 0.96 0.04
P-SPDE -0.018 0.98 0.02 0.001 0.92 0.08 -0.013 0.92 0.08 -0.001 0.96 0.04
0.25 Cox-PH -0.02 0.9 0.1 -0.003 0.98 0.02 -0.001 0.92 0.08 -0.006 0.92 0.08
GAM -0.018 0.92 0.08 -0.001 0.98 0.02 |< 0.001| 0.9 0.1 0.002 0.92 0.08
Cox-SPDE -0.015 0.9 0.1 -0.003 0.96 0.04 0.007 0.96 0.04 -0.002 0.92 0.08
P-SPDE -0.015 0.9 0.1 -0.004 0.98 0.02 0.009 0.96 0.04 -0.002 0.9 0.1
  1. CR Coverage Rate, SR Significance Rate, Cox-PH Cox Proportional Hazard model, GAM Generalized Additive Model, Cox-SPDE Cox-Stochastic Partial Differential Equation Model, P-SPDE Poisson-Stochastic Partial Differential Equation Model, RRt Treatment Relative Risk, RRb Breeding site Relative Risk. See Additional file 6 for MSE Mean Square Error
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BMC Medical Research Methodology

ISSN: 1471-2288

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