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
-0.064
-0.078
-0.071
0.143
0.777
0.132
0.116
0.121
0.270
-0.107
-0.128
0.091
0.146
0. 810
0.198
0.121
0.122
0.617
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
-0.055
-0.178
-0.048
0.139
0.839
0.148
0.119
0.124
0.264
-0.111
-0.443
-0.141
0.152
0.892
0.205
0.122
0.124
0.615
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
-0.135
-0.479
-0.216
0.140
0.801
0.165
0.120
0.119
0.317
-0.183
-0.648
-0.241
0.154
0.958
0.195
0.121
0.125
0.666

1, first outcome; 2, second outcome; 3, third outcome; Bivariate model mean bias, mean MSEa, mean MSEb of the pairwise bivariate model estimates.
Table 3: Comparisons of the performance of the trivariate and bivariate models,