Skip to main content
. Author manuscript; available in PMC: 2021 Jan 30.
Published in final edited form as: Stat Med. 2019 Nov 20;39(2):146–155. doi: 10.1002/sim.8408

TABLE 1.

Scale free case (a) with M = p/2: summary statistics on the models of Akaike information criterion (AIC)-selected λ1 and λ2

Pd Method λ3/n b Θ
Angle NR TPR FPR ER TPR FPR MCC
0 JMG - - - - - 1.41 0.82 0.16 0.25
- - - - (0.07) (0.03) (0.01) (0.01)
Proposed 0 5.47 1.00 1.00 0.30 0.98 0.86 0.11 0.32
(0.41) (0.03) 0.00 (0.04) (0.05) (0.02) (0.00) (0.01)
0.01 5.36 1.00 1.00 0.30 0.67 0.86 0.08 0.36
(0.38) (0.03) 0.00 (0.05) (0.06) (0.03) (0.01) (0.03)
0.05 4.99 1.00 1.00 0.30 0.34 0.83 0.05 0.44
(0.34) (0.03) 0.00 (0.04) (0.02) (0.03) (0.00) (0.02)
0.1 4.64 1.00 1.00 0.31 0.28 0.78 0.02 0.56
(0.33) (0.03) 0.00 (0.04) (0.02) (0.03) (0.00) (0.02)
0.1 JMG - - - - - 1.26 0.80 0.14 0.26
- - - - (0.05) (0.02) (0.00) (0.01)
Proposed 0 5.31 0.99 1.00 0.29 0.94 0.85 0.11 0.33
(0.30) (0.02) 0.00 (0.06) (0.04) (0.02) (0.00) (0.01)
0.01 5.21 0.99 1.00 0.28 0.64 0.84 0.08 0.37
(0.30) (0.02) 0.00 (0.06) (0.03) (0.02) (0.00) (0.01)
0.05 4.86 0.99 1.00 0.29 0.37 0.82 0.05 0.44
(0.28) (0.02) 0.00 (0.06) (0.02) (0.03) (0.00) (0.02)
0.1 4.51 0.99 1.00 0.28 0.31 0.75 0.02 0.55
(0.28) (0.03) 0.00 (0.05) (0.01) (0.03) (0.00) (0.02)
0.3 JMG - - - - - 1.31 0.79 0.16 0.26
- - - - (0.05) (0.02) (0.01) (0.01)
Proposed 0 5.33 0.98 1.00 0.29 0.92 0.81 0.10 0.33
(0.26) (0.03) 0.00 (0.04) (0.04) (0.02) (0.00) (0.01)
0.01 5.23 0.98 1.00 0.29 0.74 0.82 0.10 0.35
(0.27) (0.03) 0.00 (0.04) (0.07) (0.02) (0.01) (0.02)
0.05 4.86 0.98 1.00 0.30 0.40 0.77 0.05 0.44
(0.30) (0.03) 0.00 (0.04) (0.02) (0.03) (0.00) (0.02)
0.1 4.50 0.98 1.00 0.30 0.35 0.70 0.02 0.54
(0.34) (0.03) 0.00 (0.05) (0.02) (0.02) (0.00) (0.02)
0.5 JMG - - - - - 1.21 0.79 0.16 0.27
- - - - (0.03) (0.02) (0.00) (0.01)
Proposed 0 5.26 0.99 1.00 0.29 0.85 0.82 0.11 0.34
(0.33) (0.02) 0.00 (0.04) (0.04) (0.02) (0.00) (0.02)
0.01 5.16 0.99 1.00 0.29 0.64 0.81 0.09 0.37
(0.32) (0.02) 0.00 (0.04) (0.10) (0.03) (0.02) (0.03)
0.05 4.84 0.99 1.00 0.29 0.39 0.78 0.05 0.45
(0.28) (0.02) 0.00 (0.04) (0.02) (0.03) (0.00) (0.02)
0.1 4.48 0.99 1.00 0.29 0.36 0.70 0.02 0.56
(0.23) (0.03) 0.00 (0.03) (0.02) (0.03) (0.00) (0.03)

Abbreviations: ER, estimation error; FPR, false positive rate; MCC, Matthews correlation coefficient; NR, the mean ratio of b^(k)b(k)s); TPR, true positive rate.