Table 1 Simulation result evaluation metrics from different models in simulation scenario 1
Measure | Model | π = 0.4 | π = 0.8 | ||
|---|---|---|---|---|---|
ρ = 0.3 | ρ = 0.8 | ρ = 0.3 | ρ = 0.8 | ||
Bias | ZIPGLM | 0.037 | 0.055 | −0.008 | 0.012 |
ZIPDLM | −0.003 | 0.008 | −0.004 | −0.006 | |
GLM | −0.178 | −0.438 | − 0.093 | −0.067 | |
DLM | −0.091 | −0.217 | − 0.071 | −0.051 | |
RMSE | ZIPGLM | 0.791 | 0.881 | 0.508 | 0.574 |
ZIPDLM | 0.487 | 0.505 | 0.288 | 0.314 | |
GLM | 0.942 | 0.959 | 0.833 | 0.875 | |
DLM | 0.552 | 0.568 | 0.471 | 0.485 | |
CrI Coverage | ZIPGLM | 0.773 | 0.710 | 0.764 | 0.700 |
ZIPDLM | 0.933 | 0.799 | 0.927 | 0.740 | |
GLM | 0.665 | 0.522 | 0.726 | 0.682 | |
DLM | 0.607 | 0.484 | 0.710 | 0.599 | |
DIC (pD) | ZIPGLM | 1839.276 (36.599) | 1994.511 (37.958) | 3577.608 (61.961) | 4056.092 (63.363) |
ZIPDLM | 1838.029 (36.446) | 1991.848 (35.182) | 3576.794 (62.771) | 4053.807 (61.442) | |
GLM | 1871.325 (58.264) | 2025.734 (48.241) | 3610.005 (69.376) | 4078.526 (69.081) | |
DLM | 1868.994 (45.269) | 2030.592 (45.277) | 3629.755 (68.752) | 4076.888 (65.247) | |
DICr (pDr) | ZIPGLM | 1839.296 (36.579) | 1998.464 (39.911) | 3577.627 (61.978) | 4059.542 (68.232) |
ZIPDLM | 1838.321 (36.223) | 1992.372 (35.182) | 3576.157 (65.141) | 4055.133 (62.772) | |
GLM | 1881.538 (58.264) | 2035.515 (49.288) | 3642.345 (81.376) | 4085.638 (74.148) | |
DLM | 1874.314 (50.584) | 2040.936 (54.709) | 3637.313 (74.097) | 4082.538 (72.898) | |
MSPE | ZIPGLM | 81.268 | 160.155 | 143.496 | 332.312 |
ZIPDLM | 81.108 | 159.774 | 143.082 | 315.261 | |
GLM | 82.093 | 164.001 | 144.612 | 315.224 | |
DLM | 81.609 | 165.531 | 144.096 | 313.981 | |
π | ZIPGLM | 0.399 | 0.402 | 0.802 | 0.797 |
ZIPDLM | 0.401 | 0.401 | 0.802 | 0.797 | |
GLM | – | – | – | – | |
DLM | – | – | – | – | |