Original Values

• The original values from the combine data set are marked on each plot by the horizontal line and the point labled “Value”

Simulation Plots

• I simulated 6 different levels of mode (range = 1.0,1.2,1.4,1.6,1.8 and 2.0) while holding the SD constant 0.55
• The plots all have had there y axis held constant for similar type plots (e.g. percentages range from 0 to 1)
• The black horizontal line on each point represents the value of the original COMBINE data set (N = 888; after removing 495 subjects due to missigness)

Drink Bias Plots

• These are profiles of the drink bias distributions we used for each level of the simulation. These are based on a gamma distribution which is parameterized by two different parameters (shape and rate). However, one can convert a mode and SD of a distribution into a shape and rate parameters.
• \(rate = ( mode + sqrt( mode^2 + 4*sd^2 ) ) / ( 2 * sd^2 )\)
• \(shape = 1 + mode * rate\)

Selecting parameters for simulation

  Mode   SD Mean Plot.Number
1  0.6 0.55 0.91           1
2  0.8 0.55 1.09           2
3  1.0 0.55 1.26           3
4  1.2 0.55 1.44           4
5  1.4 0.55 1.56           5
6  1.6 0.55 1.78           6
7  1.8 0.55 1.95           7
8  2.0 0.55 2.17           8