Odds Ratios
  0.5 1.0* 1.5 2.0 2.5 3.0
  Sensitivity False Positive False Positive Sensitivity False Positive Sensitivity False Positive Sensitivity False Positive Sensitivity False Positive
  Mean (Median;Std) Mean (Median;Std) Mean (Median;Std) Mean (Median;Std) Mean (Median;Std) Mean (Median;Std) Mean (Median;Std) Mean (Median;Std) Mean (Median;Std) Mean (Median;Std) Mean (Median;Std)
CPT 0.88
(>0.99;0.27)
0.14
(0.11;0.13)
0.06
(0;0.09)
0.65
(0.91;0.4)
0.11
(0.09;0.12)
0.93
(>0.99;0.21)
0.21
(0.21;0.13)
0.98
(>0.99;0.1)
0.28
(0.28;0.11)
0.99
(>0.99;0.08)
0.31
(0.3;0.11)
FSPT                      
Span = 0.1 0.55
(0.6;0.35)
0.08
(0.08;0.05)
0.05
(0.05;0.03)
0.38
(0.26;0.36)
0.07
(0.06;0.04)
0.64
(0.74;0.34)
0.10
(0.10;0.04)
0.78
(0.91;0.27)
0.14
(0.14;0.04)
0.89
(>0.99;0.21)
0.17
(0.17;0.04)
Span = 0.3 0.91
(>0.99;0.2)
0.11
(0.1;0.09)
0.05
(0.04;0.06)
0.66
(0.79;0.37)
0.08
(0.07;0.07)
0.96
(>0.99;0.12)
0.14
(0.14;0.08)
0.99
(>0.99;0.06)
0.20
(0.20;0.07)
>0.99 (>0.99;0.02) 0.24
(0.24;0.06)
Span = 0.5 0.89
(>0.99;0.27)
0.14
(0.12;0.12)
0.05
(0.01;0.07)
0.75
(0.98;0.34)
0.10
(0.09;0.10)
0.97
(>0.99;0.13)
0.20
(0.21;0.12)
0.99
(>0.99;0.06)
0.29
(0.30;0.09)
>0.99 (>0.99;0.01) 0.35
(0.36;0.08)
Span = 0.7 0.86
(>0.99;0.31)
0.15
(0.13;0.14)
0.05
(0;0.08)
0.77
(>0.99;0.36)
0.12
(0.09;0.12)
0.96
(>0.99;0.14)
0.24
(0.26;0.14)
0.99
(>0.99;0.07)
0.35
(0.37;0.1)
>0.99
(>0.99;0.01)
0.41
(0.42;0.08)
Span = 0.9 0.84
(>0.99;0.33)
0.13
(0.1;0.13)
0.05
(0;0.09)
0.78
(>0.99;0.36)
0.11
(0.07;0.12)
0.95
(>0.99;0.2)
0.22
(0.24;0.14)
0.99
(>0.99;0.07)
0.33
(0.35;0.11)
>0.99 (>0.99;0.01) 0.39
(0.39;0.08)
UPT 0.95
(>0.99;0.15)
0.13
(0.04;0.16)
0.05
(0;0.10)
0.76
(0.95;0.33)
0.10
(0.01;0.13)
0.97
(>0.99;0.1)
0.22
(0.24;0.16)
>0.99
(>0.99;0.03)
0.33
(0.35;0.12)
>0.99 (>0.99;0.03) 0.38
(0.39;0.09)
*Note that Sensitivity is not meaningful under the null hypothesis
Table 4: Scenario 1 Sensitivity and False Positive Rates of Permutation Test Methods under Alternative Hypotheses.