Mathematical Problems in Engineering / 2020 / Article / Tab 2 / Research Article
Modified Least Trimmed Quantile Regression to Overcome Effects of Leverage Points Table 2 RMSE and MAE values for QReg, LTQReg (20%), LTQReg (30%), RWLTQReg, RMD-LTQReg, and GM6-LTQReg at the three quantiles 0.25, 0.50, and 0.75, in the different contamination levels 20%, 30%, and 40% for the second experiment.
Sample size Contamination rate 10% 20% 30% Tau Methods RMSE MAE RMSE MAE RMSE MAE 100 0.25 QReg 7.60072 2.71137 12.63955 5.40649 15.29570 7.76377 LTQReg (20%) 0.96439 0.79551 1.12911 0.90803 2.57547 1.52490 LTQReg (30%) 0.83776 0.69587 0.94068 0.77194 1.10528 0.89317 RWLTQReg 0.61278 0.50790 0.70393 0.58018 0.76134 0.62801 RMD-LTQReg 0.61412 0.50472 0.63576 0.51919 0.60821 0.49545 GM6-LTQReg 1.00462 0.82615 1.04673 0.85208 1.07611 0.87303 0.50 QReg 7.03403 2.49861 9.50562 4.90036 11.69555 6.27158 LTQReg (20%) 0.75641 0.61555 1.34668 1.08131 2.43778 1.87786 LTQReg (30%) 0.62499 0.51160 1.04447 0.85431 1.67420 1.36147 RWLTQReg 0.39408 0.32070 0.68870 0.56272 1.01328 0.82816 RMD-LTQReg 0.44134 0.35757 0.45001 0.36310 0.45131 0.36386 GM6-LTQReg 0.75162 0.61254 1.10578 0.90201 1.49676 1.22331 0.75 QReg 6.48270 2.98638 10.87028 5.68746 13.19635 6.99549 LTQReg (20%) 1.27777 1.04650 2.76438 2.25273 3.10530 2.52145 LTQReg (30%) 1.19103 0.98439 2.32918 1.91100 2.54114 2.09051 RWLTQReg 0.93936 0.77860 1.59655 1.31319 1.73952 1.43453 RMD-LTQReg 0.62520 0.51422 0.64571 0.52944 0.64247 0.52357 GM6-LTQReg 1.33548 1.08809 2.51296 2.05925 2.42449 1.99687 200 0.25 QReg 8.09625 2.93802 12.50005 5.39671 15.54302 7.89287 LTQReg (20%) 0.97660 0.81400 1.12126 0.91353 2.58969 1.53480 LTQReg (30%) 0.85519 0.71915 0.93652 0.78048 1.10876 0.90673 RWLTQReg 0.65875 0.55684 0.69650 0.58754 0.76961 0.64687 RMD-LTQReg 0.62150 0.52297 0.61801 0.51920 0.62247 0.52132 GM6-LTQReg 1.03788 0.85881 1.05223 0.86622 1.08009 0.88672 0.50 QReg 7.46737 2.69586 9.44630 4.89712 11.81101 6.27112 LTQReg (20%) 0.76073 0.62729 1.14512 0.92500 2.45982 1.97166 LTQReg (30%) 0.62627 0.52152 0.92752 0.76556 1.81734 1.48822 RWLTQReg 0.41374 0.34492 0.68605 0.57105 1.07019 0.89003 RMD-LTQReg 0.41887 0.34717 0.43697 0.36076 0.41705 0.34530 GM6-LTQReg 0.77188 0.63616 1.01386 0.82994 1.73916 1.42738 0.75 QReg 7.45019 3.97614 10.92026 5.62669 13.21633 7.00179 LTQReg (20%) 1.61894 1.34617 2.74805 2.27645 3.17620 2.61515 LTQReg (30%) 1.41970 1.19561 2.36234 1.98466 2.65588 2.22840 RWLTQReg 1.09951 0.93351 1.74217 1.48032 1.94745 1.65112 RMD-LTQReg 0.61526 0.51805 0.63496 0.53380 0.64102 0.53548 GM6-LTQReg 1.78427 1.46644 2.57393 2.14842 2.57785 2.16814