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Table 3 Observed Power for GAM Hypothesis Tests and Spatial Scan Statistic

From: A power comparison of generalized additive models and the spatial scan statistic in a case-control setting

Probability of Disease Unexposed

 

Odds Ratios

  

0.5

1.0

1.5

2.0

2.5

3.0

3.5

 

Case 1

Power

(95% CI)

Power

(95% CI)

Power

(95% CI)

Power

(95% CI)

Power

(95% CI)

Power

(95% CI)

Power

(95% CI)

0.05

CPT

0.081

(0.064-0.098)

0.043

(0.030-0.056)

0.070

(0.054-0.086)

0.174

(0.151-0.197)

0.301

(0.273-0.329)

0.474

(0.443-0.505)

 
 

FMSPT-3

0.055

(0.041-0.069)

0.033

(0.022-0.044)

0.048

(0.035-0.061)

0.139

(0.118-0.160)

0.250

(0.223-0.277)

0.403

(0.373-0.433)

 
 

FMSPT-5

0.044

(0.031-0.057)

0.023

(0.014-0.032)

0.039

(0.027-0.051)

0.103

(0.084-0.122)

0.225

(0.199-0.251)

0.361

(0.331-0.391)

 
 

Scan Statistic

0.087

(0.070-0.104)

0.052

(0.038-0.066)

0.075

(0.059-0.091)

0.169

(0.146-0.192)

0.302

(0.274-0.330)

0.494

(0.463-0.525)

 

0.20

CPT

0.239

(0.213-0.265)

0.047

(0.034-0.06)

0.149

(0.127-0.171)

0.447

(0.416-0.478)

0.764

(0.738-0.79)

0.923

(0.906-0.94)

 
 

FMSPT-3

0.166

(0.143-0.189)

0.027

(0.017-0.037)

0.111

(0.092-0.130)

0.378

(0.348-0.408)

0.697

(0.669-0.725)

0.890

(0.871-0.909)

 
 

FMSPT-5

0.152

(0.130-0.174)

0.020

(0.011-0.029)

0.094

(0.076-0.112)

0.33

(0.301-0.359)

0.673

(0.644-0.702)

0.880

(0.860-0.900)

 
 

Scan Statistic

0.243

(0.216-0.270)

0.044

(0.031-0.057)

0.121

(0.101-0.141)

0.467

(0.436-0.498)

0.833

(0.810-0.856)

0.963

(0.951-0.975)

 
 

Case 2

       

0.05

CPT

0.095

(0.077-0.113)

0.069

(0.053-0.085)

0.054

(0.040-0.068)

0.094

(0.076-0.112)

0.176

(0.152-0.200)

0.230

(0.204-0.256)

0.381

(0.351-0.411)

 

FMSPT-3

0.074

(0.058-0.090)

0.048

(0.035-0.061)

0.035

(0.024-0.046)

0.075

(0.059-0.091)

0.131

(0.110-0.152)

0.186

(0.162-0.210)

0.31

(0.281-0.339)

 

FMSPT-5

0.053

(0.039-0.067)

0.037

(0.025-0.049)

0.029

(0.019-0.039)

0.061

(0.046-0.076)

0.115

(0.095-0.135)

0.154

(0.132-0.176)

0.281

(0.253-0.309)

 

Scan Statistic

0.059

(0.044-0.074)

0.052

(0.038-0.066)

0.048

(0.035-0.061)

0.091

(0.073-0.109)

0.137

(0.116-0.158)

0.194

(0.169-0.219)

0.293

(0.265-0.321)

0.20

CPT

0.223

(0.197-0.249)

0.05

(0.036-0.064)

0.118

(0.098-0.138)

0.293

(0.265-0.321)

0.520

(0.489-0.551)

0.714

(0.686-0.742)

0.878

(0.858-0.898)

 

FMSPT-3

0.173

(0.150-0.196)

0.033

(0.022-0.044)

0.089

(0.071-0.107)

0.22

(0.194-0.246)

0.441

(0.410-0.472)

0.658

(0.629-0.687)

0.833

(0.810-0.856)

 

FMSPT-5

0.147

(0.125-0.169)

0.023

(0.014-0.032)

0.073

(0.057-0.089)

0.199

(0.174-0.224)

0.404

(0.374-0.434)

0.611

(0.581-0.641)

0.798

(0.773-0.823)

 

Scan Statistic

0.143

(0.121-0.165)

0.045

(0.032-0.058)

0.080

(0.063-0.097)

0.17

(0.147-0.193)

0.367

(0.337-0.397)

0.584

(0.553-0.615)

0.758

(0.731-0.785)

 

Case 3

       

0.05

CPT

0.094

(0.076-0.112)

0.040

(0.028-0.052)

0.059

(0.044-0.074)

0.131

(0.110-0.152)

0.240

(0.214-0.266)

0.426

(0.395-0.457)

0.547

(0.516-0.578)

 

FMSPT-3

0.071

(0.055-0.087)

0.027

(0.017-0.037)

0.037

(0.025-0.049)

0.078

(0.061-0.095)

0.178

(0.154-0.202)

0.359

(0.329-0.389)

0.478

(0.447-0.509)

 

FMSPT-5

0.056

(0.042-0.070)

0.017

(0.009-0.025)

0.028

(0.018-0.038)

0.064

(0.049-0.079)

0.152

(0.130-0.174)

0.324

(0.295-0.353)

0.437

(0.406-0.468)

 

Scan Statistic

0.068

(0.052-0.084)

0.042

(0.030-0.054)

0.059

(0.044-0.074)

0.085

(0.068-0.102)

0.129

(0.108-0.15)

0.201

(0.176-0.226)

0.285

(0.257-0.313)

0.20

CPT

0.276

(0.248-0.304)

0.058

(0.044-0.072)

0.137

(0.116-0.158)

0.400

(0.370-0.430)

0.712

(0.684-0.740)

0.882

(0.862-0.902)

0.970

(0.959-0.981)

 

FMSPT-3

0.218

(0.192-0.244)

0.036

(0.024-0.048)

0.094

(0.076-0.112)

0.327

(0.298-0.356)

0.622

(0.592-0.652)

0.843

(0.820-0.866)

0.954

(0.941-0.967)

 

FMSPT-5

0.191

(0.167-0.215)

0.026

(0.016-0.036)

0.074

(0.058-0.090)

0.298

(0.270-0.326)

0.587

(0.556-0.618)

0.818

(0.794-0.842)

0.942

(0.928-0.956)

 

Scan Statistic

0.158

(0.135-0.181)

0.047

(0.034-0.060)

0.067

(0.052-0.082)

0.192

(0.168-0.216)

0.348

(0.318-0.378)

0.534

(0.503-0.565)

0.703

(0.675-0.731)