Skip to main content

Table 2 Simulation results from logistic spline fit by RIDGE and LASSO penalties

From: LASSO type penalized spline regression for binary data

  Full Curve At Boundaries
     Lower 10% Upper 10%
Penalty MASE MACP MACL MASE MACP MACL MASE MACP MACL
Function : Linear
K=7          
LASSO 0.105 0.96 1.332 0.270 0.96 2.755 0.281 0.96 2.765
RIDGE 0.149 0.96 1.369 0.445 0.95 2.830 0.537 0.95 3.024
K=20          
LASSO 0.104 0.96 1.358 0.255 0.96 2.821 0.285 0.97 2.826
RIDGE 0.148 0.96 1.403 0.415 0.95 2.907 0.549 0.96 3.071
K=35          
LASSO 0.096 0.96 1.356 0.223 0.96 2.813 0.287 0.97 2.815
RIDGE 0.142 0.96 1.401 0.365 0.96 2.898 0.553 0.96 3.045
Function : Concave
K=7          
LASSO 0.338 0.95 1.791 1.282 0.92 3.461 1.123 0.93 3.467
RIDGE 0.341 0.95 1.786 1.313 0.92 3.465 1.150 0.93 3.471
K=20          
LASSO 0.359 0.96 1.953 1.421 0.94 3.886 1.151 0.95 3.787
RIDGE 0.364 0.96 1.951 1.476 0.94 3.979 1.206 0.95 3.855
K=35          
LASSO 0.350 0.96 1.958 1.351 0.95 3.873 1.113 0.96 3.829
RIDGE 0.355 0.96 1.953 1.424 0.94 3.965 1.173 0.95 3.846
Function : Double Hump
K=7          
LASSO 0.301 0.90 1.502 0.291 0.92 1.655 0.472 0.92 2.441
RIDGE 0.345 0.89 1.583 0.328 0.92 1.769 0.678 0.91 2.506
K=20          
LASSO 0.316 0.95 1.901 0.315 0.94 1.854 0.514 0.95 2.697
RIDGE 0.383 0.94 1.932 0.382 0.93 1.980 0.753 0.93 2.786
K=35          
LASSO 0.323 0.95 1.942 0.382 0.95 2.021 0.531 0.95 2.818
RIDGE 0.396 0.94 1.987 0.445 0.94 2.152 0.780 0.93 2.894
  1. We report mean average squared distance (MASE), mean average 95% coverage probability (MACP), and mean average coverage length (MACL) measures for full curve and boundaries for each K, penalty and curve