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. Author manuscript; available in PMC: 2013 Nov 20.
Published in final edited form as: Stat Med. 2013 Jun 19;32(26):4609–4623. doi: 10.1002/sim.5876

Table 5.

Average model selection and model performance for Example 4 based on 500 Simulations. The standard errors are given in the parentheses.

(n, Censoring Proportion) Method SS Correct Over Under Size Concordance AUC
Weibull. Survival, Exponential Censoring
(200,15%) LASSO 0.50 0.00 0.13 0.87 13.62 (0.51) 0.639 (0.002) 0.688 (0.002)
ALASSO 0.50 0.00 0.09 0.91 15.37 (0.22) 0.634 (0.002) 0.682 (0.002)
COSSO 0.60 0.00 0.36 0.64 19.55 (0.13) 0.643 (0.002) 0.693 (0.001)
ACOSSO 0.60 0.00 0.42 0.58 18.28 (0.13) 0.654 (0.002) 0.706 (0.001)

(200,30%) LASSO 0.40 0.00 0.10 0.90 11.21 (0.52) 0.618 (0.02) 0.659 (0.003)
ALASSO 0.40 0.00 0.05 0.95 15.87 (0.24) 0.617 (0.02) 0.659 (0.002)
COSSO 0.46 0.00 0.24 0.76 19.86 (0.11) 0.628 (0.02) 0.674 (0.002)
ACOSSO 0.46 0.00 0.26 0.74 18.60 (0.11) 0.635 (0.02) 0.682 (0.002)

(400,15%) LASSO 0.95 0.02 0.12 0.86 5.00 (0.10) 0.693 (0.01) 0.756 (0.001)
ALASSO 0.95 0.00 0.03 0.97 8.75 (0.29) 0.689 (0.01) 0.751 (0.001)
COSSO 0.98 0.00 0.27 0.73 24.38 (0.13) 0.668 (0.01) 0.725 (0.001)
ACOSSO 0.98 0.00 0.90 0.10 24.59 (0.16) 0.695 (0.01) 0.756 (0.001)

(400,30%) LASSO 0.91 0.02 0.11 0.87 4.81 (0.09) 0.688 (0.01) 0.751 (0.001)
ALASSO 0.91 0.00 0.04 0.96 9.08 (0.31) 0.684 (0.01) 0.745 (0.001)
COSSO 0.95 0.00 0.28 0.72 24.97 (0.13) 0.661 (0.01) 0.717 (0.001)
ACOSSO 0.95 0.00 0.75 0.25 25.43 (0.15) 0.682 (0.01) 0.741 (0.001)

Weibull. Survival, Uniform Censoring
(200,15%) LASSO 0.52 0.01 0.08 0.91 10.98 (0.52) 0.654 (0.002) 0.704 (0.002)
ALASSO 0.52 0.00 0.06 0.94 16.06 (0.27) 0.640 (0.002) 0.687 (0.002)
COSSO 0.70 0.00 0.13 0.87 15.30 (0.10) 0.664 (0.001) 0.719 (0.001)
ACOSSO 0.70 0.00 0.02 0.97 4.59 (0.07) 0.677 (0.001) 0.735 (0.001)

(200,30%) LASSO 0.41 0.00 0.06 0.94 9.39 (0.50) 0.645 (0.002) 0.688 (0.003)
ALASSO 0.41 0.00 0.05 0.95 16.66 (0.26) 0.632 (0.002) 0.673 (0.002)
COSSO 0.61 0.00 0.09 0.91 15.22 (0.10) 0.662 (0.001) 0.711 (0.001)
ACOSSO 0.61 0.00 0.01 0.99 4.54 (0.07) 0.676 (0.001) 0.729 (0.001)

(400,15%) LASSO 0.94 0.02 0.06 0.92 4.78 (0.09) 0.697 (0.001) 0.757 (0.001)
ALASSO 0.94 0.00 0.03 0.97 8.14 (0.26) 0.693 (0.001) 0.753 (0.001)
COSSO 0.99 0.00 0.21 0.80 19.65 (0.15) 0.686 (0.001) 0.744 (0.001)
ACOSSO 0.99 0.00 0.05 0.95 6.98 (0.07) 0.692 (0.001) 0.753 (0.001)

(400,30%) LASSO 0.85 0.01 0.04 0.95 4.80 (0.08) 0.699 (0.001) 0.756 (0.001)
ALASSO 0.85 0.00 0.03 0.97 8.32 (0.28) 0.694 (0.001) 0.750 (0.001)
COSSO 0.98 0.00 0.15 0.85 19.39 (0.17) 0.687 (0.001) 0.742 (0.001)
ACOSSO 0.98 0.00 0.03 0.97 7.15 (0.10) 0.694 (0.001) 0.751 (0.001)