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. Author manuscript; available in PMC: 2024 Jan 1.
Published in final edited form as: J Am Stat Assoc. 2021 Jul 19;118(541):424–439. doi: 10.1080/01621459.2021.1938082

Table 2.

Simulation example with random missing, for varying observation probability p, signal strength wk*, and fusion setting f0.

p wk* f 0 method Error of B* Error of βk,j* TPR FPR
0.5 30 0.3 No-fusion 0.091 (0.001) 0.059 (0.001) 1.000 (0.000) 0.121 (0.001)
POSTER 0.055 (0.001) 0.037 (0.001) 1.000 (0.000) 0.021 (0.004)
0.7 No-fusion 0.088 (0.001) 0.056 (0.001) 1.000 (0.000) 0.099 (0.026)
POSTER 0.079 (0.002) 0.051 (0.001) 1.000 (0.000) 0.079 (0.024)
40 0.3 No-fusion 0.068 (0.001) 0.044 (0.001) 1.000 (0.000) 0.120 (0.000)
POSTER 0.042 (0.001) 0.029 (0.001) 1.000 (0.000) 0.019 (0.003)
0.7 No-fusion 0.066 (0.001) 0.043 (0.001) 1.000 (0.000) 0.072 (0.000)
POSTER 0.059 (0.001) 0.039 (0.001) 1.000 (0.000) 0.056 (0.003)
0.3 30 0.3 No-fusion 0.119 (0.002) 0.078 (0.002) 0.998 (0.001) 0.148 (0.023)
POSTER 0.077 (0.002) 0.054 (0.002) 1.000 (0.000) 0.052 (0.016)
0.7 No-fusion 0.113 (0.002) 0.074 (0.002) 0.998 (0.001) 0.104 (0.026)
POSTER 0.103 (0.002) 0.066 (0.002) 0.998 (0.001) 0.086 (0.024)
40 0.3 No-fusion 0.092 (0.020) 0.060 (0.001) 1.000 (0.000) 0.120 (0.000)
POSTER 0.058 (0.001) 0.042 (0.001) 1.000 (0.000) 0.025 (0.005)
0.7 No-fusion 0.084 (0.001) 0.054 (0.001) 0.999 (0.000) 0.074 (0.001)
POSTER 0.075 (0.001) 0.049 (0.001) 1.000 (0.000) 0.054 (0.030)

NOTES: Reported are the average estimation errors of B* and of βk,j*, and the true and false positive rates of selection based on 30 data replications (the standard errors in the parentheses). Two methods are compared: our method without the fusion constraint (No-fusion), and our proposed method (POSTER).