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. Author manuscript; available in PMC: 2023 Jun 12.
Published in final edited form as: J Am Stat Assoc. 2021 Aug 20;118(542):898–912. doi: 10.1080/01621459.2021.1957900

Table 4:

Results of Example 3 based on the simulated datasets.

Bias
EmpSD SE Cov Freq Power
Oracle Fused Z18 Fused Fused M09

n = 300, p = 1000
−0.05 0.06 0.59 0.34 0.36 0.94 0.06 0.00
β2 = φ1(τ ) 0.11 0.37 1.01 0.52 0.51 0.89 0.71 0.20 0.00
0.04 −0.20 −0.05 0.80 0.72 0.89 0.87 0.06
0.08 0.14 0.27 0.65 0.50 0.90 0.77 0.36
β11 = φ10(τ ) 0.10 −0.20 −0.36 0.62 0.51 0.91 0.67 0.19 0.00
0.16 0.06 −0.03 0.56 0.52 0.90 0.10 0.00
β21 = 1.5 0.03 0.03 0.04 0.25 0.23 0.95 0.65 1.00 0.77
β41 = 2 0.00 −0.00 0.02 0.23 0.25 0.93 0.93 1.00 0.99
β61 = 2.5 0.09 0.07 0.19 0.21 0.26 0.94 0.99 1.00 1.00

n = 700, p = 1000
0.02 0.04 0.27 0.21 0.23 0.94 0.06 0.00
β2 = φ1(τ ) 0.17 0.30 0.79 0.37 0.40 0.88 0.96 0.27 0.01
0.15 0.08 0.35 0.51 0.51 0.90 1.00 0.77
0.07 0.09 0.18 0.33 0.33 0.91 0.99 0.92
β11 = φ10(τ ) −0.01 −0.19 −0.23 0.35 0.34 0.85 0.92 0.21 0.00
−0.00 −0.04 −0.08 0.37 0.31 0.94 0.06 0.00
β21 = 1.5 −0.00 0.00 0.04 0.16 0.17 0.97 0.98 1.00 1.00
β41 = 2 −0.03 −0.02 −0.01 0.15 0.18 0.95 1.00 1.00 1.00
β61 = 2.5 0.00 0.00 0.07 0.18 0.18 0.94 1.00 1.00 1.00

n = 700, p = 2000
0.05 0.11 0.13 0.32 0.32 0.93 0.07 0.00
β2 = φ1(τ ) 0.09 0.34 0.87 0.46 0.44 0.91 0.93 0.09 0.02
0.25 0.36 1.77 0.53 0.46 0.87 0.74 0.58
0.13 0.25 0.73 0.45 0.35 0.84 1.00 0.83
β11 = φ10(τ ) 0.09 −0.02 0.56 0.41 0.36 0.89 0.90 0.76 0.01
−0.04 −0.30 −0.13 0.36 0.34 0.85 0.15 0.00
β21 = 1.5 0.01 0.01 0.03 0.18 0.21 0.98 0.98 1.00 1.00
β41 = 2 0.01 0.03 −0.07 0.22 0.20 0.91 0.99 1.00 0.98
β61 = 2.5 −0.02 −0.01 −0.05 0.25 0.20 0.94 1.00 1.00 0.98

Note: See the footnote of Tables 2 and 3; For β2 and β11, the numbers are shown at τ = .25,.5,.75 from the top to the bottom and, for the other β’s, at τ = 0.5.