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# Table 1 Simulated power of four statistics, UniFrac (UniF), W-UniFrac (WUniF), VAW-UniFrac (T), and SqT in Simulation 1.

Radius of B (Overlap)    offset (Overlap)
0 (100%) 0.012 (95%) 0.024 (90%) 0.035 (85%) 0.047 (80%)
0.15 (100%) UniF: 0.050 UniF: 0.224 UniF: 0.898 UniF: 0.999 UniF: 1.000
WUniF: 0.049 WUniF: 0.152 WUniF: 0.600 WUniF: 0.945 WUniF: 0.999
T: 0.057 T: 0.208 T: 0.761 T: 0.994 T: 1.000
SqT: 0.061 SqT: 0.200 SqT: 0.755 SqT: 0.991 SqT: 1.000
0.134 (80%) UniF: 0.820 UniF: 0.918 UniF: 0.997 UniF: 1.000 UniF: 1.000
WUniF: 0.124 WUniF: 0.339 WUniF: 0.726 WUniF: 0.973 WUniF: 1.000
T: 0.311 T: 0.578 T: 0.926 T: 0.997 T: 1.000
SqT: 0.252 SqT: 0.546 SqT: 0.933 SqT: 1.000 SqT: 1.000
0.116 (60%) UniF: 1.000 UniF: 1.000 UniF: 1.000 UniF: 1.000 UniF: 1.000
WUniF: 0.778 WUniF: 0.886 WUniF: 0.974 WUniF: 0.998 WUniF: 1.000
T: 1.000 T: 1.000 T: 1.000 T: 1.000 T: 1.000
SqT: 0.999 SqT: 1.000 SqT: 1.000 SqT: 1.000 SqT: 1.000
1. The first community is represented as a circle with radius 0.15, and the second community is represented as circle "B" with radii 0.15, 0.134, and 0.116, respectively. The offset is the distance between the centers of the two circles. The number of simulations is 1000, and the type 1 error rate is set at 0.05.