Simulation Table
This function is used for "large-scale" simulation of Winning Numbers History values.
Controls Description
- Simulation Tickets - click button > to select whether the tickets for draw simulations will come from Ticket Generator or from the Package. Generator option brings up Ticket Generator window where you can choose the range of numbers and the number of tickets to be used for draw simulation. Please note that in this case you should not be using Maximum overlap option when generating random tickets for the simulation. The Generator may get stuck while trying to find tickets that fit your overlap settings and the draw simulation would never finish. A possible workaround is to generate such tickets into the Package first (press Cancel button when Generator's progress indicator stops moving) and then select option Package in the Simulation tab.
Package option will use the current contents of the package for draw simulation. This option is disabled when the package is empty.
- Simulation Filter - you can choose any filter or combination of filters to be applied to tickets (either package tickets or generated ones) before they are passed to the draw simulator. Only tickets that pass filter's condition will then affect the simulation statistics. This way you can verify how various filters affect the winning numbers history values.
- Start Simulation - click this button to start draw simulation
-
Results Table
- Column - shows Winning History Number column names
- Sum - contains WN History sums calculated for the current winning numbers selection at the left-hand part of the screen. Simulation column relates to these values
- Simulation - shows whether most simulated draws led to sum Decrease or sum Increase (compared with sum values from column Sum). Value "same" means that exactly half of the simulated draws caused sum increase and the other half caused sum decrease.
- [%] - percentage value of how many simulations led to increase/decrease. For example "Increase - 71%" means that 71% of simulated draws caused sum increase in the particular history column, likewise "Decrease - 56%" means that 56% of simulated draws lead to decreasing sum and 44% lead to sum increase.
- Med* - median sum value calculated from all simulated draws. Note: It is an arithmetical approximation, not exact median value.
- Diff - an average sum difference value calculated from all simulated draws
- Diff StdDev - standard deviation for sum differences from all simulated draws
- Min - the minimum value of sum obtained from all simulations
- Max - the maximum value of sum obtained from all simulations
- Chart/Sum/Min, Chart/Sum/Max, Chart/Diff/Min, Chart/Diff/Max - if you move any drag-able range line within Sum Charts or within Differences Chart then their numerical values appear in these fields. These fields will change their background color if the simulation Avg sum values are outside these ranges (see Tolerances below).
- Notes - you can enter your comments or notes here
- Standard Deviation - shows the standard deviation for all values given in column Diffs
-
Tolerance - you can provide allowed error margins for comparing the median values of draw simulations with your chart estimates. Cells in Chart/xxx/yyy columns will have red background when:
- bottom range value from the chart minus tolerance is higher than the appropriate median sum in the simulation table (your estimated range is above the computed median value)
- upper range value plus tolerance is lower than the appropriate median sum in the simulation table (your estimated range is below the computed median value)
Note: This tool does not predict any data. It just provides probability of history sum increase or decrease based on statistics from draw simulations.