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. Author manuscript; available in PMC: 2014 Feb 5.
Published in final edited form as: Stat Anal Data Min. 2012 Nov 19;6(4):302–314. doi: 10.1002/sam.11169

Table 1.

Comparison of mean squared prediction error (MSPE), true positive rate (TPR) and false positive rate (FPR) with standard errors (SE).

Simulation 1: n = 400, p = 40, SNR = 10 Simulation 2: n = 400, p = 40, SNR = 5
Method MSPE (SE) TPR (SE) FPR (SE) Method MSPE (SE) TPR (SE) FPR (SE)
PLS 504.2 (293.8) PLS 655.2 (212.9)
Sparse PLS 72.6 (4.1) 1.00 (0.00) 0.61 (0.27) Sparse PLS 143.7 (9.8) 1.00 (0.00) 0.66 (0.29)
RPLS 66.4 (3.8) 1.00 (0.00) 0.22 (0.35) RPLS 131.4 (9.3) 1.00 (0.00) 0.19 (0.37)
Lasso 70.9 (4.9) 0.60 (0.07) 0.00 (0.02) Lasso 139.3 (9.5) 0.49 (0.07) 0.00 (0.00)
Elastic net 70.5 (4.5) 0.61 (0.07) 0.01 (0.03) Elastic net 139.0 (9.5) 0.50 (0.07) 0.00 (0.00)
Simulation 3: n = 40, p = 80, SNR = 10 Simulation 4: n = 40, p = 80, SNR = 5
Method MSPE (SE) TPR (SE) FPR (SE) Method MSPE (SE) TPR (SE) FPR (SE)
PLS 624.1 (256.5) PLS 612.6 (256.8)
Sparse PLS 104.9 (26.3) 0.99 (0.05) 0.77 (0.30) Sparse PLS 206.4 (53.9) 0.98 (0.07) 0.70 (0.31)
RPLS 76.0 (20.8) 1.00 (0.00) 0.45 (0.43) RPLS 155.1 (59.0) 1.00 (0.00) 0.52 (0.43)
Lasso 83.7 (19.7) 0.17 (0.04) 0.02 (0.06) Lasso 178.3 (49.7) 0.12 (0.04) 0.01 (0.02)
Elastic net 82.4 (18.6) 0.17 (0.03) 0.02 (0.04) Elastic net 172.7 (46.0) 0.12 (0.04) 0.01 (0.03)
Simulation 5: n = 40, p = 200, SNR = 10 Simulation 2: n = 40, p = 200, SNR = 5
Method MSPE (SE) TPR (SE) FPR (SE) Method MSPE (SE) TPR (SE) FPR (SE)
PLS 649.7 (175.8) PLS 691.9 (188.5)
Sparse PLS 85.7 (20.4) 1.00 (0.02) 0.76 (0.32) Sparse PLS 182.0 (42.0) 0.98 (0.08) 0.61 (0.36)
RPLS 84.8 (52.2) 1.00 (0.00) 0.53 (0.47) RPLS 153.3 (40.9) 1.00 (0.00) 0.48 (0.49)
Lasso 83.1 (15.1) 0.19 (0.04) 0.01 (0.01) Lasso 163.1 (35.7) 0.15 (0.04) 0.00 (0.01)
Elastic net 82.2 (14.7) 0.19 (0.05) 0.00 (0.01) Elastic net 160.6 (33.7) 0.15 (0.03) 0.01 (0.02)