History Differences

History Differences page shows the differences of values in neighboring columns from Number History table. Table cells contain drawn numbers and row headers show the history difference these numbers were assigned at Number History table.

Option History to show allows selecting Number History table column to be displayed in this table. Row headers show the difference value. The cells in each row contain the drawn numbers which have the same difference shown in the row header. According to the example above the difference (between columns "0" and "-1") for number 20 is 16. Number 20 has a black border, which is used to highlight all numbers currently entered in Draw Simulation edit fields. The black border is displayed even when the Draw Simulation option is inactive. When the Draw Simulation is active (button is depressed) the table is recalculated as if the entered numbers were actually drawn as the winning ones.
The labels at the top right part of the window show the maximum possible differences for currently selected Number History column. Max(-) is the maximum possible difference if the last six numbers of this table will be drawn, Max(+) is the maximum possible difference if the first six numbers of this table will be drawn, Sim is the difference value if numbers from the simulation edit fields will be drawn.

Note: Selection of winning numbers to be used is the same as in other parts of the application. However please note that when playing a lottery that draws more then one set of winning numbers on each draw day then this table for History to Show "0" looks like follows: the first row of this table is the 2nd draw and the second row in the table is the 1st draw from the same draw day. This ordering differs from the order of draws in other parts of the application.

The right hand part of the screen contains three option panels allowing to divide the table rows into three segments for package filtering. The default segment ranges are set so that the first segment ends at 6th table row (inclusive) and the second segment ends at 12th table row (inclusive). You can adjust the segment size using edit fields

The second segment begins always in the row following the end of the first segment regardless whether this row is empty or not. The third segment begins in the row following the end of the second segment and it ends in the last table row.

Each segment has option Numbers in ticket, which defines the minimum and maximum count of numbers from the given segment that a ticket must contain.

This function can be used for package filtering.

Following controls offer information on the lowest (Min Diff) and highest (Max Diff) possible differences according to current segment sizes and ticket number distribution.

Note: You must pay close attention to segment definitions when playing a lottery drawing more winning numbers than you can actually bet (e.g. Expert Lotto Keno demo lottery - 20 numbers are drawn and each bet can contain up to 10 numbers only). Naturally the package cannot be filtered with a requirement that a ticket must contain more than 10 numbers from each segment. In this case all tickets would be filtered out.

Click button Filter to start package filtering. The filtering process will leave in the package only tickets passing the filter condition for the history currently selected in option History to Show.
Evaluation of segment sizes and their contents allows estimating the future sum values more accurately. In the example above (see figure for column "-1") all combinations of any 6 numbers from the first 8 rows lead to sum increase. Even the sum of differences for numbers from rows 6,7 and 8 is lower than 49.

Each draw will change the sum in all columns. The change in each column is given by the possible maximum increase (49) reduced by the sum of differences corresponding to the actually drawn numbers. Let's assume that numbers 2,15,18, 22, 24 and 36 will be drawn in the example above. In this case the sum of differences for numbers from rows 6,7 and 8 is 42. The corresponding difference for number 22 is 6; numbers 2, 15, 18 a 24 have corresponding difference 7 (so the sum is 28) and number 36 has difference 8. In this case the resulting sum will increase by 7. (Try to simulate the draw and check the sums in column"-1" in Draw Simulation row in Summary History table). Thus when we assume that the sum in the first column ("-1") is to be reduced at least two numbers from the bottom part of the table must be drawn in order to reach the sum of difference higher than 49.

You can use Simulate button in the lower right corner of the screen to estimate the probability that the sum will decrease or increase. This button starts random ticket generator to simulate winning numbers draws. After 100000 simulations the minimum, maximum and median values (note: it is arithmetical approximation, not exact median value) are determined for the currently selected column. Before using the simulation feature these values show the n/a symbol. The progress bar with the probability percentage shows how many simulated draws would lead to the sum reduction in the appropriate column (red color) and how many simulations lead to sum increase (green color). You should use "0" for the minimum and "6" for the maximum counts of numbers in all segments to get feasible simulation results (therefore the segment ranges will be ignored in this case). Otherwise the simulation is affected by the segment settings and only random tickets that pass such a filter will be used for draw simulation. The example above shows that the 32% of random draw simulations would lead to sum decrease.

You can adjust the draw simulation using a requirement for the count of numbers from each segment. Only random draw simulations passing your requirement are accepted then. For example a requirement for at least one number from segment 3 (Min=1) means that all draw simulation tickets containing only numbers from segments 1 and/or 2 are excluded from simulation.

Usually the actual winning numbers are scattered over all segments. It is not very frequent that four or more drawn numbers belong to one row only in any segment (applies for each number history column). Therefore another function can be used to remove tickets containing a given set of numbers.

Clicking the first table row selects the following numbers 7,16,23,27,29,34,42. These numbers are highlighted in table header in Visual Package page:

Then you can remove tickets containing 4, 5 and 6 numbers from the set defined in table header using function Remove Match in:

You can select more than one row in History Difference tables for the function described above. Use Shift key of continuous selection and Ctrl key for non-continuous selection. In the following example tickets containing 4, 5 and 6 numbers form the end of table presented in the figure above are removed from the package:

Transferred to page Visual Package:

Then using option:

 

The background of table cells can have different colors. The colors are transferred automatically from Winning Numbers page when Panel Coloring function is activated.

Note: To avoid distorted values in this and other Winning Numbers History tables (i.e. incomplete) you should be using either the All Draws option or Latest "xx" option, where "xx" is the highest value in column "-10" in Number History table.