Table 2 Simulation result evaluation metrics from different models in simulation scenario 2
Measure | Model | π = 0.4 | π = 0.8 | ||
|---|---|---|---|---|---|
ρ = 0.3 | ρ = 0.8 | ρ = 0.3 | ρ = 0.8 | ||
Bias | ZIPGLM | 0.131 | −0.052 | 0.082 | 0.008 |
ZIPDLM | −0.039 | −0.021 | −0.014 | −0.002 | |
GLM | −0.157 | −0.408 | −0.119 | −0.099 | |
DLM | −0.175 | −0.418 | −0.091 | −0.081 | |
RMSE | ZIPGLM | 0.874 | 0.932 | 0.727 | 0.559 |
ZIPDLM | 0.522 | 0.608 | 0.388 | 0.291 | |
GLM | 1.186 | 1.124 | 0.828 | 0.669 | |
DLM | 0.619 | 0.702 | 0.434 | 0.328 | |
CrI Coverage | ZIPGLM | 0.712 | 0.700 | 0.750 | 0.740 |
ZIPDLM | 0.933 | 0.817 | 0.923 | 0.803 | |
GLM | 0.632 | 0.580 | 0.755 | 0.695 | |
DLM | 0.619 | 0.468 | 0.756 | 0.630 | |
DIC (pD) | ZIPGLM | 1720.445 (35.864) | 2012.758 (38.732) | 3635.735 (62.453) | 3983.145 (69.391) |
ZIPDLM | 1718.355 (34.256) | 2011.769 (37.748) | 3633.122 (60.932) | 3969.928 (61.206) | |
GLM | 1762.11 (48.589) | 2058.123 (50.145) | 3660.459 (68.444) | 4002.552 (74.235) | |
DLM | 1754.994 (44.321) | 2053.159 (46.978) | 3658.244 (64.442) | 4000.879 (72.926) | |
DICr (pDr) | ZIPGLM | 1723.112 (39.782) | 2016.447 (42.552) | 3638.445 (65.534) | 3986.157 (70.763) |
ZIPDLM | 1719.562 (35.834) | 2012.224 (38.026) | 3634.559 (61.952) | 3970.251 (62.529) | |
GLM | 1764.965 (55.123) | 2059.624 (53.998) | 3672.428 (79.952) | 4009.482 (75.992) | |
DLM | 1762.889 (52.216) | 2051.223 (52.217) | 3667.393 (73.591) | 4005.938 (73.576) | |
MSPE | ZIPGLM | 98.299 | 140.603 | 196.451 | 289.122 |
ZIPDLM | 97.002 | 140.102 | 196.112 | 288.112 | |
GLM | 99.506 | 140.989 | 197.125 | 289.756 | |
DLM | 98.954 | 140.559 | 196.478 | 288.422 | |
π | ZIPGLM | 0.3976 | 0.425 | 0.789 | 0.789 |
ZIPDLM | 0.3976 | 0.425 | 0.791 | 0.791 | |
GLM | – | – | – | – | |
DLM | – | – | – | – | |