BMC Medical Research Methodology

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

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

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