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.