Parameter Trivariate model Bivariate model† γ1♣=3.5, γ2♣=2.7, γ3♣=3.0 Bias_1*100 Bias_2*100 Bias_3*100 MSEa_1*103 MSEa_2*103 MSEa_3*100 MSEb_1*100 MSEb_2*10 MSEb_3*100 -0.007 -0.028 -0.119 0.144 0.853 0.127 0.102 0.091 0.215 -0.021 -0.076 0.163 0.205 0.909 0.187 0.113 0.094 0.567 γ1♣=4.2, γ2♣=4.8, γ3♣=5.1 Bias_1*100 Bias_2*100 Bias_3*100 MSEa_1*103 MSEa_2*103 MSEa_3*100 MSEb_1*100 MSEb_2*10 MSEb_3*100 -0.012 -0.151 -0.132 0.140 0.805 0.154 0.104 0.097 0.266 0.022 0.343 0.346 0.150 0.856 0.173 0.116 0.110 0.611 γ1♣=7.8, γ2♣=7.5, γ3♣=7.2 Bias_1*100 Bias_2*100 Bias_3*100 MSEa_1*103 MSEa_2*103 MSEa_3*100 MSEb_1*100 MSEb_2*10 MSEb_3*100 -0.073 -0.303 -0.126 0.132 0.083 0.182 0.107 0.099 0.335 0.101 -0.310 -0.237 0.161 0.921 0.214 0.115 0.109 0.588 1♣, first outcome; 2♣, second outcome; 3♣, third outcome; Bivariate model† mean bias, mean MSEa, mean MSEb of the pairwise bivariate model estimates.

Table 1: Comparisons of the performance of the trivariate and bivariate models,