Simulation Analyses

 

Histograms of exposure effect parameter estimates derived via Poisson Regression under varying methods for assigning scores to exposure categories.

 

Exposure Intensity Conforms to the Lognormal (0,1) Distribution

 

10 Exposure Groups (defined by deciles of the exposure distribution among cases). 

 

1.  Scores assigned based on Cell-Specific Mean Values

 

   Frequency

 

                     |                                                       *****

                     |                                                       *****

                     |                                                       *****

                     |                                                       *****

                  45 +                                                       *****

                     |                                                       *****

                     |                                                       *****

                     |                                                       *****

                     |                                                       *****

                  40 +                                                       *****

                     |                                                       *****

                     |                                                       *****

                     |                                                       *****

                     |                                                       *****

                  35 +                                                       *****

                     |                                                       *****

                     |                                                       *****

                     |                                                       *****

                     |                                                       *****

                  30 +                                                       *****

                     |                                                       *****

                     |                                                       *****

                     |                                                       *****

                     |                                                       *****

                  25 +                                                       *****

                     |                                                       *****

                     |                                                       *****

                     |                                                       *****       *****

                     |                                                       *****       *****

                  20 +                                                       *****       *****

                     |                                                       *****       *****

                     |                                                       *****       *****

                     |                                                       *****       *****

                     |                                                       *****       *****

                  15 +                                           *****       *****       *****

                     |                                           *****       *****       *****

                     |                                           *****       *****       *****

                     |                                           *****       *****       *****

                     |                                           *****       *****       *****

                  10 +                                           *****       *****       *****

                     |                                           *****       *****       *****

                     |                               *****       *****       *****       *****

                     |                               *****       *****       *****       *****

                     |                               *****       *****       *****       *****

                   5 +                               *****       *****       *****       *****

                     |                               *****       *****       *****       *****       *****

                     |                               *****       *****       *****       *****       *****

                     |                               *****       *****       *****       *****       *****

                     |       *****       *****       *****       *****       *****       *****       *****

                     --------------------------------------------------------------------------------------------

                            -0.0320     -0.0240     -0.0160     -0.0080     0.0000      0.0080      0.0160

 

                                                           Estimate Midpoint

 

2.  Scores assigned based on Category Mean Values

 

                  Frequency

 

                     |                                                       *****

                  45 +                                                       *****

                     |                                                       *****

                     |                                                       *****

                     |                                                       *****

                     |                                                       *****

                  40 +                                                       *****

                     |                                                       *****

                     |                                                       *****

                     |                                                       *****

                     |                                                       *****

                  35 +                                                       *****

                     |                                                       *****

                     |                                                       *****

                     |                                                       *****

                     |                                                       *****

                  30 +                                                       *****

                     |                                                       *****

                     |                                                       *****

                     |                                                       *****

                     |                                                       *****

                  25 +                                                       *****

                     |                                                       *****

                     |                                                       *****

                     |                                                       *****       *****

                     |                                                       *****       *****

                  20 +                                                       *****       *****

                     |                                                       *****       *****

                     |                                                       *****       *****

                     |                                           *****       *****       *****

                     |                                           *****       *****       *****

                  15 +                                           *****       *****       *****

                     |                                           *****       *****       *****

                     |                                           *****       *****       *****

                     |                                           *****       *****       *****

                     |                                           *****       *****       *****

                  10 +                                           *****       *****       *****

                     |                               *****       *****       *****       *****

                     |                               *****       *****       *****       *****

                     |                               *****       *****       *****       *****

                     |                               *****       *****       *****       *****

                   5 +                               *****       *****       *****       *****

                     |                               *****       *****       *****       *****       *****

                     |                               *****       *****       *****       *****       *****

                     |                               *****       *****       *****       *****       *****

                     |       *****       *****       *****       *****       *****       *****       *****

                     --------------------------------------------------------------------------------------------

                            -0.0320     -0.0240     -0.0160     -0.0080     0.0000      0.0080      0.0160

 

                                                           Estimate Midpoint

 

3.  Scores assigned based on Category Midpoint Values

 

                  Frequency

 

                  40 +                                                       *****

                     |                                                       *****

                     |                                                       *****

                     |                                                       *****

                     |                                                       *****

                  35 +                                                       *****

                     |                                                       *****

                     |                                                       *****

                     |                                                       *****

                     |                                                       *****

                  30 +                                                       *****

                     |                                                       *****

                     |                                                       *****

                     |                                                       *****

                     |                                                       *****

                  25 +                                                       *****

                     |                                                       *****

                     |                                                       *****       *****

                     |                                                       *****       *****

                     |                                                       *****       *****

                  20 +                                                       *****       *****

                     |                                                       *****       *****

                     |                                                       *****       *****

                     |                                                       *****       *****

                     |                                                       *****       *****

                  15 +                                           *****       *****       *****

                     |                                           *****       *****       *****

                     |                                           *****       *****       *****

                     |                                           *****       *****       *****

                     |                                           *****       *****       *****

                  10 +                                           *****       *****       *****

                     |                                           *****       *****       *****

                     |                               *****       *****       *****       *****

                     |                               *****       *****       *****       *****       *****

                     |                               *****       *****       *****       *****       *****

                   5 +                               *****       *****       *****       *****       *****

                     |                   *****       *****       *****       *****       *****       *****

                     |       *****       *****       *****       *****       *****       *****       *****

                     |       *****       *****       *****       *****       *****       *****       *****

                     |       *****       *****       *****       *****       *****       *****       *****

                     --------------------------------------------------------------------------------------------

                            -0.0100     -0.0075     -0.0050     -0.0025     0.0000      0.0025      0.0050