Skip to main content

Table 3 Results of GAM and proportional hazards tests for SEER data

From: Modeling the effect of age in T1-2 breast cancer using the SEER database

Overall mortality Node-negative Node-positive
  no transform transform age+|age-50|1.5 transform age+|age-50|1.8 no transform transform age+|age-50|1.5 transform age+|age-50|1.8
GAM Chisq for Age (smaller value better) 582.4 6.53 52.4 439.2 18.4 1.83
GAM p-value for Age (larger better) <.0001 0.089 <.0001 <.0001 0.0003 0.557
Test PH for Age: rho (smaller absolute value better) 0.069 0.071 0.075 0.048 0.044 0.045
Test PH for Age: chisq (smaller value better) 53.6 46.3 48.2 21.1 15.8 16.0
Full PH model Rsquare (larger value better) 0.088 0.094 0.093 0.126 0.135 0.135
Full PH model Likelihood ratio test (larger value better) 5364 5745 5656 3443 3713 3709
Breast cancer specific mortality Node-negative Node-positive
  no transform transform age+|age-50|1.5 transform age+|age-50|1.8 no transform transform age+|age-50|1.5 transform age+|age-50|1.8
GAM Chisq for Age (smaller value better) 52.7 11.1 8.10 63.7 9.20 4.92
GAM p-value for Age (larger better) <.0001 0.010 0.040 <.0001 0.027 0.179
Test PH for Age: rho (smaller absolute value better) -0.027 -0.038 -0.042 -0.007 -0.023 -0.027
Test PH for Age: chisq (smaller value better) 2.5 4.5 5.5 0.3 2.8 3.6
Full PH model Rsquare (larger value better) 0.03 0.03 0.031 0.1 0.1 0.1
Full PH model Likelihood ratio test (larger value better) 1779 1799 1803 2698 2715 2716
  1. Chisq = chi-square value, GAM = generalized additive model, PH = proportional hazards. The additional file 3 "output4rev.doc" lists the output of the full PH models.
\