Odds Ratios
    0.25 1.0 2.0 3.0 4.0 5.0
  Significance Cutoff Power
(95% CI)
Type I Error
(95% CI)
Power
(95% CI)
Power
(95% CI)
Power
(95% CI)
Power
(95% CI)
Pearson Chi-Square Test              
Theoretical Power 0.05 0.693 (0.664,0.722) 0.050
(0.036,0.064)
0.622 (0.592,0.652) 0.971 (0.961,0.981) 0.999 (0.997,>0.999) >0.999 (0.997,>0.999)
Observed Power 0.05 0.799 (0.774,0.824) 0.056
(0.042,0.07)
0.616 (0.586,0.646) 0.934 (0.919,0.949) 0.992 (0.986,0.998) >0.999 (0.997,>0.999)
ACST 0.0125 0.175 (0.151,0.199) 0.059
(0.044,0.074)
0.145 (0.123,0.167) 0.345 (0.316,0.374) 0.526 (0.495,0.557) 0.722 (0.694,0.750)
CPT 0.025 0.136 (0.115,0.157) 0.052
(0.038,0.066)
0.120 (0.100,0.14) 0.306 (0.277,0.335) 0.479 (0.448,0.510) 0.688 (0.659,0.717)
FSPT              
Span = 0.1 0.05 0.168 (0.145,0.191) 0.044
(0.031,0.057)
0.177 (0.153,0.201) 0.287 (0.259,0.315) 0.471 (0.4400.502) 0.672 (0.643,0.701)
Span = 0.3 0.05 0.145 (0.123,0.167) 0.047
(0.034,0.060)
0.125 (0.105,0.145) 0.321 (0.292,0.350) 0.504 (0.473,0.535) 0.711 (0.683,0.739)
Span = 0.5 0.05 0.104 (0.085,0.123) 0.052
(0.038,0.066)
0.106 (0.087,0.125) 0.247 (0.220,0.274) 0.396 (0.366,0.426) 0.593 (0.563,0.623)
Span = 0.7 0.05 0.103 (0.084,0.122) 0.053
(0.039,0.067)
0.101 (0.082,0.12) 0.222 (0.196,0.248) 0.363 (0.333,0.393) 0.517 (0.486,0.548)
Span = 0.9 0.05 0.095 (0.077,0.113) 0.058
(0.044,0.072)
0.098 (0.080,0.116) 0.210
(0.185,0.235)
0.354 (0.324,0.384) 0.521 (0.490,0.552)
FMSPT              
0.1, 0.3, 0.5, 0.7, 0.9 0.01 0.081 (0.064,0.098) 0.026
(0.016,0.036)
0.073 (0.057,0.089) 0.219 (0.193,0.245) 0.382 (0.352,0.412) 0.587 (0.556,0.618)
0.1, 0.5, 0.9 0.0167 0.122 (0.102,0.142) 0.04
(0.028,0.052)
0.100 (0.081,0.119) 0.268 (0.241,0.295) 0.443 (0.412,0.474) 0.648 (0.618,0.678)
UPT 0.05 0.161 (0.138,0.184) 0.041
(0.029,0.053)
0.125 (0.105,0.145) 0.275 (0.247,0.303) 0.463 (0.432,0.494) 0.650 (0.620,0.680)
Table 3: Scenario 2 Observed Power Estimates.