Parameter  θ(0) EST 1.041 0.029 0.157 0.316 −0.502 −0.229 −3.991 −0.118 0.228 SE 0.347 0.44 0.493 0.792 0.807 0.801 1.589 0.617 0.882 p-value 0.003 0.948 0.75 0.69 0.534 0.775 0.012 0.849 0.796 Parameter EST 0.061 −0.290 4.68 −0.840 1.368 −0.112 0.063 3.569 −1.743 SE 0.927 1.228 1.449 1.004 0.904 0.94 1.381 1.298 0.954 p-value 0.947 0.813 0.001 0.402 0.13 0.905 0.964 0.006 0.068 Parameter EST −0.068 −0.332 0.155 −0.710 1.137 −1.677 1.731 1.124 1.165 SE 0.685 1.132 1.115 0.867 1.24 0.944 1.356 1.027 1.158 p-value 0.922 0.77 0.889 0.413 0.359 0.076 0.202 0.274 0.314

Table 6: Results of the CPS-II Nutrition Cohort data analysis using the PCL method with five disease traits and weight gain was used as the covariate. Here EST, SE, ER and PR stand for estimate, standard error, estrogen receptor and progesterone receptor, respectively. We have included second-order contrasts in the model for the logodds ratio parameters.