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
-0.011
0.015
0.041
0.133
0.797
0.125
0.103
0.098
0.219
0.015
0.141
0.144
0.146
0.846
0.169
0.112
0.111
0.593
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
-0.016
-0.204
-0.147
0.142
0.841
0.135
0.105
0.099
0.234
0.054
-0.265
-0.177
0.158
0.922
0.168
0.115
0.111
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
-0.114
-0.413
-0.158
0.133
0.899
0.129
0.105
0.102
0.228
-0.123
-0.513
-0.234
0.140
0.921
0.199
0.114
0.113
0.636

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