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Table 5 Cases 2 and 3 Sensitivity - Detecting the Exposure Source Location

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 1.5 2.0 2.5 3.0 3.5
  Case 2^ Sensitivity
(95% CI)
Sensitivity
(95% CI)
Sensitivity
(95% CI)
Sensitivity
(95% CI)
Sensitivity
(95% CI)
Sensitivity
(95% CI)
0.05 CPT 0.453
(0.422-0.484)
0.352
(0.322-0.382)
0.543
(0.512-0.574)
0.688
(0.659-0.717)
0.896
(0.877-0.915)
0.882
(0.862-0.902)
  FMSPT-3 0.541
(0.510-0.572)
0.543
(0.512-0.574)
0.773
(0.747-0.799)
0.824
(0.800-0.848)
0.952
(0.939-0.965)
0.952
(0.939-0.965)
  FMSPT-5 0.585
(0.554-0.616)
0.517
(0.486-0.548)
0.754
(0.727-0.781)
0.8
(0.775-0.825)
0.968
(0.957-0.979)
0.947
(0.933-0.961)
  Scan Statistic 0.026
(0.016-0.036)
0.012
(0.005-0.019)
0.038
(0.026-0.050)
0.094
(0.076-0.112)
0.153
(0.131-0.175)
0.229
(0.203-0.255)
0.20 CPT 0.740
(0.713-0.767)
0.559
(0.528-0.590)
0.860
(0.838-0.882)
0.950
(0.936-0.964)
0.976
(0.967-0.985)
0.987
(0.980-0.994)
  FMSPT-3 0.936
(0.921-0.951)
0.652
(0.622-0.682)
0.964
(0.952-0.976)
0.995
(0.991-0.999)
0.995
(0.991-0.999)
0.998
(0.995-1.000)
  FMSPT-5 0.973
(0.963-0.983)
0.644
(0.614-0.674)
0.965
(0.954-0.976)
0.995
(0.991-0.999)
0.997
(0.994-1.000)
0.999
(0.997-1.000)
  Scan Statistic 0.082
(0.065-0.099)
0.029
(0.019-0.039)
0.12
(0.100-0.140)
0.301
(0.273-0.329)
0.533
(0.502-0.564)
0.725
(0.697-0.753)
  Case 3* Mean
(SD)
Mean
(SD)
Mean
(SD)
Mean
(SD)
Mean
(SD)
Mean
(SD)
0.05 CPT 0.256
(0.097)
0.234
(0.069)
0.333
(0.134)
0.391
(0.190)
0.463
(0.258)
0.524
(0.293)
  FMSPT-3 0.308
(0.101)
0.344
(0.072)
0.436
(0.129)
0.516
(0.213)
0.59
(0.301)
0.634
(0.334)
  FMSPT-5 0.368
(0.101)
0.353
(0.065)
0.473
(0.126)
0.549
(0.209)
0.622
(0.306)
0.661
(0.343)
  Scan Statistic 0.263
(0.319)
0.189
(0.234)
0.232
(0.261)
0.299
(0.279)
0.315
(0.268)
0.346
(0.277)
0.20 CPT 0.394
(0.203)
0.339
(0.134)
0.454
(0.253)
0.548
(0.286)
0.641
(0.255)
0.704
(0.192)
  FMSPT-3 0.511
(0.228)
0.453
(0.145)
0.574
(0.287)
0.659
(0.340)
0.737
(0.296)
0.788
(0.204)
  FMSPT-5 0.550
(0.229)
0.475
(0.136)
0.598
(0.290)
0.638
(0.355)
0.758
(0.317)
0.807
(0.222)
  Scan Statistic 0.363
(0.280)
0.242
(0.280)
0.282
(0.300)
0.390
(0.287)
0.441
(0.267)
0.443
(0.257)
  1. ^Sensitivity reflects the probability of the identification of the center of the region as high or low risk, given that the global null hypothesis was rejected, i.e.
  2. Sensitivity = P(Exposure Source Located | Rejected Ho)
  3. * Sensitivity reflects the mean percent of the vertical exposure source identified as high or low risk, given that the global null hypothesis was rejected, i.e.
  4. Sensitivity = mean(Percent Exposure Source Located | Rejected Ho)