Table 4.
Parameter estimates for hybrid models
| Dimension/level | Model 6 | Model 7 | Model 8 | Model 9 | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Hybrid (random-effect, conditional logit model) | Hybrid Tobit (random-effect, censored at -1, conditional logit model) | Hybrid heteroskedastic Tobit (random-effect, censored at -1 with heteroskedasticity, conditional logit model) | Hybrid heteroskedastic model (heteroskedasticity, conditional logit model) |
|||||||||
| Coeff. | SE | p value | Coeff. | SE | p value | Coeff. | SE | p value | Coeff. | SE | p value | |
| Mobility (MO) | ||||||||||||
| Disutility MO1–MO2 | 0.1 | 0.011 | 0.000 | 0.089 | 0.012 | 0.000 | 0.055 | 0.009 | 0.000 | 0.085 | 0.009 | 0.000 |
| Disutility MO1–MO3 | 0.142 | 0.012 | 0.000 | 0.126 | 0.013 | 0.000 | 0.104 | 0.014 | 0.000 | 0.139 | 0.012 | 0.000 |
| Disutility MO1–MO4 | 0.348 | 0.012 | 0.000 | 0.34 | 0.013 | 0.000 | 0.342 | 0.014 | 0.000 | 0.341 | 0.012 | 0.000 |
| Disutility MO1–MO5 | 0.583 | 0.012 | 0.000 | 0.621 | 0.013 | 0.000 | 0.709 | 0.014 | 0.000 | 0.586 | 0.012 | 0.000 |
| Self-care (SC) | ||||||||||||
| Disutility SC1–SC2 | 0.063 | 0.011 | 0.000 | 0.06 | 0.012 | 0.000 | 0.045 | 0.008 | 0.000 | 0.062 | 0.009 | 0.000 |
| Disutility SC1–SC3 | 0.09 | 0.012 | 0.000 | 0.081 | 0.013 | 0.000 | 0.082 | 0.013 | 0.000 | 0.089 | 0.012 | 0.000 |
| Disutility SC1–SC4 | 0.245 | 0.012 | 0.000 | 0.238 | 0.013 | 0.000 | 0.242 | 0.014 | 0.000 | 0.242 | 0.012 | 0.000 |
| Disutility SC1–SC5 | 0.333 | 0.011 | 0.000 | 0.38 | 0.012 | 0.000 | 0.456 | 0.013 | 0.000 | 0.349 | 0.011 | 0.000 |
| Usual activities (UA) | ||||||||||||
| Disutility UA1–UA2 | 0.082 | 0.011 | 0.000 | 0.076 | 0.012 | 0.000 | 0.045 | 0.008 | 0.000 | 0.065 | 0.009 | 0.000 |
| Disutility UA1–UA3 | 0.095 | 0.012 | 0.000 | 0.092 | 0.013 | 0.000 | 0.073 | 0.013 | 0.000 | 0.092 | 0.012 | 0.000 |
| Disutility UA1–UA4 | 0.236 | 0.012 | 0.000 | 0.244 | 0.013 | 0.000 | 0.247 | 0.013 | 0.000 | 0.239 | 0.012 | 0.000 |
| Disutility UA1–UA5 | 0.342 | 0.011 | 0.000 | 0.395 | 0.012 | 0.000 | 0.442 | 0.013 | 0.000 | 0.337 | 0.011 | 0.000 |
| Pain/discomfort (PD) | ||||||||||||
| Disutility PD1–PD2 | 0.059 | 0.011 | 0.000 | 0.052 | 0.011 | 0.000 | 0.039 | 0.008 | 0.000 | 0.054 | 0.008 | 0.000 |
| Disutility PD1–PD3 | 0.087 | 0.012 | 0.000 | 0.087 | 0.013 | 0.000 | 0.077 | 0.014 | 0.000 | 0.103 | 0.012 | 0.000 |
| Disutility PD1–PD4 | 0.23 | 0.012 | 0.000 | 0.244 | 0.013 | 0.000 | 0.263 | 0.014 | 0.000 | 0.239 | 0.012 | 0.000 |
| Disutility PD1–PD5 | 0.341 | 0.012 | 0.000 | 0.396 | 0.013 | 0.000 | 0.475 | 0.015 | 0.000 | 0.37 | 0.012 | 0.000 |
| Anxiety/depression (AD) | ||||||||||||
| Disutility AD1–AD2 | 0.06 | 0.011 | 0.000 | 0.059 | 0.012 | 0.000 | 0.042 | 0.007 | 0.000 | 0.055 | 0.008 | 0.000 |
| Disutility AD1–AD3 | 0.137 | 0.012 | 0.000 | 0.125 | 0.013 | 0.000 | 0.114 | 0.014 | 0.000 | 0.133 | 0.012 | 0.000 |
| Disutility AD1–AD4 | 0.267 | 0.012 | 0.000 | 0.282 | 0.012 | 0.000 | 0.293 | 0.013 | 0.000 | 0.276 | 0.011 | 0.000 |
| Disutility AD1–AD5 | 0.395 | 0.012 | 0.000 | 0.436 | 0.012 | 0.000 | 0.507 | 0.014 | 0.000 | 0.399 | 0.011 | 0.000 |
| Dimension ranking | MO-UA-PD-AD-SC | MO-AD-PD-UA-SC | MO-AD-PD-SC-UA | MO-AD-PD-SC-UA | ||||||||
| Insignificant | 0 | 0 | 0 | 0 | ||||||||
| Illogically ordered | 0 | 0 | 0 | 0 | ||||||||
| AIC | 19232.64 | 21297.46 | 19207.84 | 18103.23 | ||||||||
| BIC | 19401.14 | 21465.95 | 19529.51 | 18424.9 | ||||||||
| MAE | 0.362216 | 0.382768 | 0.416236 | 0.363773 | ||||||||
| RMSE | 0.485575 | 0.497105 | 0.543049 | 0.486582 | ||||||||
| 55555 | − 0.997 | − 1.229 | − 1.575 | − 1.047 | ||||||||
AIC Akaike information criteria, BIC Bayesian information criteria, Coeff coefficient, MAE mean absolute error, RMSE root mean square error, SE standard error