Distribution
In the Distribution column, users can select the type of probability distribution that defines the possible values of drivers. Normal Distribution is set as default; however, users can also select Uniform Distribution if required.
Normal Distribution:
For a normal distribution, approximately 99.7% of the data falls within three standard deviations of the mean.
The values that a user inserts into the value configuration are translated to the mean and standard deviation, the two parameters of a normal distribution.
- Mean: The average of the minimum and maximum values added by the users.
- Standard deviation: The range users specify can be approximated to cover six standard deviations, so the estimated standard deviation is calculated by dividing the range by 6.
Let’s use the example of a value configuration range for a driver of 10 to 70. The mean is 40 and the standard deviation is 10. So, of the generated randomized driver values for each driver:
- Approximately 68% will fall within 30 and 50, or one standard deviation (+/- 1 standard deviation) of the mean.
- Approximately 95% will fall within 20 and 60, or two standard deviations (+/- 2 standard deviations) of the mean.
- Approximately 99.7% will fall within 10 and 70, or within three standard deviations (+/- 3 standard deviations) of the mean.
If a user selects Uniform Distribution, then all values in the value range (as defined in its Value Configuration) are equally likely to occur for a driver.
For each time of random sampling or simulation iteration, specific randomized values for drivers are generated based on the randomness settings, and these values will be used for the calculation of the target for each simulation iteration. In this way, a set of target values, or simulation results, will be generated.