Response | \(p_a\) | Method | Scenario 1 | Scenario 2 | Scenario 3 | |||
---|---|---|---|---|---|---|---|---|
 |  |  | Bias | RMSE | Bias | RMSE | Bias | RMSE |
Linear | 0.1 | \(\textrm{QReR}_{\textrm{S}}\) | -0.032 | 0.31 | -0.051 | 0.36 | 0.011 | 0.35 |
 |  | \(\textrm{QReR}_{\textrm{M}}\) | -0.017 | 0.10 | -0.018 | 0.10 | -0.013 | 0.10 |
 |  | ReR | -0.001 | 0.27 | 0.019 | 0.29 | 0.031 | 0.32 |
 | 0.5 | \(\textrm{QReR}_{\textrm{S}}\) | -0.018 | 0.40 | -0.016 | 0.49 | -0.069 | 0.51 |
 |  | \(\textrm{QReR}_{\textrm{M}}\) | -0.034 | 0.11 | -0.029 | 0.10 | -0.036 | 0.11 |
 |  | ReR | 0.026 | 0.37 | 0.044 | 0.42 | -0.020 | 0.44 |
 | 1 | \(\textrm{QReR}_{\textrm{S}}\) | -0.031 | 0.49 | -0.053 | 0.55 | 0.012 | 0.53 |
 |  | \(\textrm{QReR}_{\textrm{M}}\) | -0.037 | 0.10 | -0.044 | 0.11 | -0.047 | 0.11 |
 |  | ReR | -0.022 | 0.48 | -0.015 | 0.55 | -0.067 | 0.57 |
NonLinear | 0.1 | \(\textrm{QReR}_{\textrm{S}}\) | -0.102 | 0.44 | -0.207 | 0.56 | -0.121 | 0.51 |
(Interaction) | Â | \(\textrm{QReR}_{\textrm{M}}\) | -0.081 | 0.18 | -0.143 | 0.23 | -0.146 | 0.25 |
 |  | ReR | 0.004 | 0.40 | 0.030 | 0.43 | 0.042 | 0.46 |
 | 0.5 | \(\textrm{QReR}_{\textrm{S}}\) | -0.089 | 0.57 | -0.122 | 0.69 | -0.201 | 0.76 |
 |  | \(\textrm{QReR}_{\textrm{M}}\) | -0.097 | 0.19 | -0.149 | 0.24 | -0.167 | 0.26 |
 |  | ReR | 0.038 | 0.52 | 0.056 | 0.59 | -0.030 | 0.61 |
 | 1 | \(\textrm{QReR}_{\textrm{S}}\) | -0.086 | 0.70 | -0.167 | 0.80 | -0.086 | 0.74 |
 |  | \(\textrm{QReR}_{\textrm{M}}\) | -0.092 | 0.19 | -0.157 | 0.25 | -0.174 | 0.27 |
 |  | ReR | -0.018 | 0.65 | -0.009 | 0.74 | -0.085 | 0.79 |
NonLinear | 0.1 | \(\textrm{QReR}_{\textrm{S}}\) | -0.281 | 1.76 | 4.671 | 7.17 | -4.674 | 6.52 |
(Polynomial) | Â | \(\textrm{QReR}_{\textrm{M}}\) | -0.267 | 1.63 | 4.819 | 6.82 | -4.817 | 6.25 |
 |  | ReR | 0.100 | 1.70 | 0.094 | 4.28 | -0.323 | 4.60 |
 | 0.5 | \(\textrm{QReR}_{\textrm{S}}\) | -0.298 | 1.93 | 5.055 | 7.28 | -5.632 | 7.32 |
 |  | \(\textrm{QReR}_{\textrm{M}}\) | -0.308 | 1.71 | 4.840 | 6.91 | -5.519 | 6.88 |
 |  | ReR | 0.114 | 1.67 | 0.238 | 4.24 | -0.382 | 5.06 |
 | 1 | \(\textrm{QReR}_{\textrm{S}}\) | -0.294 | 1.97 | 4.872 | 7.31 | -5.437 | 7.32 |
 |  | \(\textrm{QReR}_{\textrm{M}}\) | -0.310 | 1.74 | 4.859 | 7.04 | -5.925 | 7.32 |
 |  | ReR | 0.030 | 1.74 | 0.325 | 4.31 | 0.012 | 4.91 |