Table 4.
Ranking the performance of models
| Models | GMAE | Rank in GMAE | GMSE | Rank in GMSE | Predicted mean | Rank in predicting mean | Predicted minimum | Rank in predicting minimum | Predicted maximum | Rank in predicting maximum | Average ranking |
|---|---|---|---|---|---|---|---|---|---|---|---|
| Direct mapping (using explanatory variable set 5) | |||||||||||
| OLS | 0.0889 | 4 | 0.0242 | 3 | 0.8280 | 4 | −0.2914 | 5 | 1 | 1 | 3.4 |
| Tobit | 0.0897 | 6 | 0.0245 | 4 | 0.8201 | 5 | −0.1071 | 8 | 0.9532 | 8 | 6.2 |
| GLM | 0.0883 | 2 | 0.0240 | 2 | 0.8279 | 1 | −0.3335 | 1 | 0.9971 | 5 | 2.2 |
| CLAD | 0.0911 | 7 | 0.0251 | 6 | 0.8371 | 7 | −0.2941 | 4 | 1 | 1 | 5.0 |
| Betamix | 0.0888 | 3 | 0.0245 | 5 | 0.8279 | 1 | −0.2911 | 6 | 0.9970 | 6 | 4.2 |
| ALDVMM-2 part | 0.0882 | 1 | 0.0229 | 1 | 0.8279 | 1 | −0.3246 | 2 | 0.9972 | 4 | 1.8 |
| ALDVMM-3 part | 0.0893 | 5 | 0.0256 | 7 | 0.8301 | 6 | −0.2954 | 3 | 0.9958 | 7 | 5.6 |
| Indirect mapping | |||||||||||
| GLOGIT | 0.1010 | 8 | 0.0346 | 8 | 0.8413 | 8 | −0.2520 | 7 | 1 | 1 | 6.4 |
All the reported statistics are after truncation
Explanatory variables for set 5: the PROMIS-29 (as categorical variables), age, age squared and sex
ALDVMM Adjusted Limited Dependent Variable Mixture Model, ALDVMM-2 part ALDVMM model with two components, ALDVMM-3: part ALDVMM model with three components, Betamix Mixture beta regression model, CLAD censored least absolute deviation, GLM generalised linear model, GLOGIT generalised logistic regression, GMAE geometric mean absolute error, GMSE geometric mean squared error, OLS ordinary least square