Table 1:

Edge-wise results of extracting mediation pattern $U_c\otimes V_d$ by all methods. We demonstrate the false discovery rate (FDR), sensitivity (sens) and specificity (spec) across different settings for all comparable methods.

Mediation effect size and Sample size	Method	Cluster Size = 10 × 10			Cluster Size = 20 × 20
		FDR	sens	spec	FDR	sens	spec
Effect=0.24 n=80	BH	0	0.021(0.135)	1	0	0.155(0.359)	1*
	3-step	0.118(0.247)	0.371(0.459)	1*	0.014(0.101)	0.296(0.433)	1*
	PathL	0.222(0.245)	0.490(0.179)	0.973(0.042)	0.098(0.018)	0.365(0.127)	0.979(0.042)
	MMO	0.106(0.188)	0.955(0.129)	0.998(0.004)	0.057(0.116)	0.950(0.131)	0.997(0.001)
Effect=0.24 n=200	BH	0.017(0.048)	0.728(0.434)	1*	0.001(0.013)	0.895(0.299)	1*
	3-step	0.149(0.162)	0.952(0.161)	0.998(0.003)	0.022(0.24)	0.974(0.131)	1*
	PathL	0.129(0.102)	0.740(0.182)	0.984(0.017)	0.106(0.125)	0.629(0.086)	0.980(0.023)
	MMO	0.040(0.084)	0.994(0.028)	1*	0.004(0.020)	1	1*
Effect=0.16 n = 80	BH	0	0	1	0	0.017(0.128)	1
	3-step	0.082(0.215)	0.204(0.368)	1*	0.009(0.025)	0.112(0.294)	1*
	PathL	0.208(0.248)	0.530(0.142)	0.971(0.046)	0.106(0.181)	0.405(0.128)	0.976(0.043)
	MMO	0.136(0.208)	0.950(0.154)	0.997(0.005)	0.124(0.129)	0.937(0.152)	0.993(0*)
Effect=0.16 n = 200	BH	0	0.607(0.481)	1	0.004(0.019)	0.758(0.409)	1*
	3-step	0.114(0.160)	0.899(0.207)	0.998(0.003)	0.037(0.082)	0.946(0.189)	0.998(0.005)
	PathL	0.086(0.193)	0.460(0.135)	0.993(0.015)	0.036(0.095)	0.379(0.141)	0.996(0.009)
	MMO	0.041(0.076)	1	1*	0.047(0.078)	1	0.998(0.004)
Effect=−0.24 n = 200	BH	0*	0.763(0.420)	1	0.007(0.027)	0.863(0.341)	1*
	3-step	0.003(0.019)	0.150(0.359)	0.999(0.003)	0.0002(0.002)	0.111(0.313)	1*
	PathL	0.167(0.214)	0.630(0.134)	0.981(0.027)	0.057(0.121)	0.445(0.107)	0.993(0.016)
	MMO	0.030(0.099)	0.999(0.009)	0.999(0.002)	0.023(0.070)	0.993(0.057)	0.999(0.004)
p, q = 300 Effect=0.16 Cluster Size = 30 × 30		Sample size = 200			Sample size = 80
	BH	0.017(0.060)	0.504(0.492)	1*	0	0	1
	3-step	0.131(0.155)	0.712(0.437)	0.999(.0002)	0.025(0.033)	0.096(0.287)	1*
	PathL	0.087(0.084)	0.667(0.096)	0.993(0.007)	0.238(0.149)	0.393(0.113)	0.985(0.011)
	MMO	0.076(0.129)	0.966(0.106)	0.999(0.003)	0.089(0.126)	0.867(0.219)	0.999(0.002)

^*represents a rounded number.