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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)