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Table 4 Illustrative examples of FIS and SCDS BNT results corrected for selection bias.

From: Estimating uncertainty in observational studies of associations between continuous variables: example of methylmercury and neuropsychological testing in children

Scenario Shift in Exposurea Shift in outcomeb Slope multiplierc Regression slope
     Observed Corrected
FIS      
Scenario 1 5% 10% 2.0 -0.019 -0.024
Scenario 2 5% -10% 0.0 -0.019 -0.013
Scenario 3 -5% -10% 1.5 -0.019 -0.021
Scenario 4 -5% 10% 2.0 -0.019 -0.027
Scenario 5 10% 10% 0.5 -0.019 -0.013
Scenario 6 10% -10% 1.5 -0.019 -0.025
Scenario 7 -10% -10% 0.0 -0.019 -0.009
Scenario 8 -10% 10% 0.5 -0.019 -0.018
SCDS      
Scenario 1 5% 10% 2.0 -0.012 0.008
Scenario 2 5% -10% 0.0 -0.012 -0.016
Scenario 3 -5% -10% 1.5 -0.012 -0.004
Scenario 4 -5% 10% 2.0 -0.012 -0.030
Scenario 5 10% 10% 0.5 -0.012 0.014
Scenario 6 10% -10% 1.5 -0.012 -0.037
Scenario 7 -10% -10% 0.0 -0.012 0.017
Scenario 8 -10% 10% 0.5 -0.012 -0.031
  1. a Difference (expressed as a percent change) between the mean exposure among the sampled subjects ( s) compared to the entire target population which includes both sampled and non-sampled subjects ( s+n)
  2. b Difference (expressed as a percent change) between the mean outcome measure among the sampled subjects ( s) compared to the entire target population which includes both sampled an non sampled subjects ( s+n)
  3. cSlope modifier (ν) was used to allow for scenarios where the regression slope based on the non-sampled subjects was different from the slope based on the sampled subjects: bn = νbs