Statistics Analyzer

Analyzer window shows summary statistics of past winning numbers or summary statistics of tickets in the Package. Analyzer window opens from Tickets Analyzer wizard which is available from menu File - New - Analyzer.

Toolbar at the top of the analyzer window provides the following options:

- reopens Ticket Analyzer wizard where you can choose a different selection of tickets or draws to be analyzed or select different statistics to be calculated.
Analyzer list - the combo box lists statistics selected in the Tickets Analyzer wizard. Use the combo box to switch to a different statistical table or chart in the analyzer window.
- shows the currently selected statistics as a table, see below.
- shows the currently selected statistics as a chart, see below.

Hover mouse cursor above Analyzer window title bar to see a tooltip showing which tickets have been analyzed, for example a selection of past winning numbers draws or tickets in the Package.

Statistical Tables

Most statistical tables in the Analyzer window have the following columns:

Statistical property name - the name of the first table column depends on the statistics currently selected in the combo box at the top of the Analyzer window.
Occurrence - shows the count of tickets/draws that have the given statistical property.
[%] - shows the percentage of tickets/draws that have the given statistical property.

Example

Odd / Even	Occurrence	[%]
0:6	134,596	0.96
1:5	1,062,600	7.60
2:4	3,187,800	22.80
3:3	4,655,200	33.29
4:2	3,491,400	24.97
5:1	1,275,120	9.12
6:0	177,100	1.27

The table above shows the ratio of odd/even ticket numbers calculated for all possible combinations in a 6/49 lottery. From the table you can see that the most frequent combination is 3 odd numbers and 3 even numbers. There are 4,655,200 such tickets which makes 33.29% of all possible number combinations. The least frequent combination is 0 : 6, there are only 134,596 such tickets, that means 0.96% of all possible numbers combinations. So from strictly statistical point of view number, combinations with odd/even ratio 3:3 should be preferred while number combinations with odd/even 0:6 should be avoided when preparing your bet for the next draw.

Click any table column header to sort the table in ascending or descending order. Drag column header borders to resize table columns. Drag column headers to change the order of columns in the table.

You can change the count of decimal places used for values in statistical tables using menu Tools - Options - Statistics - Decimal places.

Draw Intervals

When estimating which statistical property will hit in the next draw it's useful to know how many draws elapsed since the last hit of that property in the selected section of winning numbers database.

The table below shows the odd/even ratio for the latest 30 draws in Expert Lotto 6/49 demo lottery:

Date	Numbers	Odd/Even
2010/28 Sun 2nd	23,29,36,42,44,47 [7]	3:3
2010/28 Sun 1st	6,13,14,19,41,42 [29]	3:3
2010/28 Wed 2nd	2,13,16,17,25,40 [27]	3:3
2010/28 Wed 1st	16,18,22,23,28,29 [24]	2:4
2010/27 Sun 2nd	1,6,12,24,32,41 [44]	2:4
2010/27 Sun 1st	2,15,22,29,30,37 [42]	3:3
2010/27 Wed 2nd	20,23,25,30,33,35 [7]	4:2
2010/27 Wed 1st	8,11,19,26,48,49 [18]	3:3
2010/26 Sun 2nd	8,11,18,32,36,38 [6]	1:5
2010/26 Sun 1st	5,6,11,31,40,43 [32]	4:2
2010/26 Wed 2nd	4,18,26,33,35,47 [11]	3:3
2010/26 Wed 1st	5,12,25,31,44,46 [33]	3:3
2010/25 Sun 2nd	10,15,28,30,36,43 [35]	2:4
2010/25 Sun 1st	16,21,24,25,35,46 [47]	3:3
2010/25 Wed 2nd	9,12,23,34,39,49 [24]	4:2
2010/25 Wed 1st	1,6,22,24,34,40 [33]	1:5
2010/24 Sun 2nd	8,12,23,31,37,49 [27]	4:2
2010/24 Sun 1st	11,19,28,29,32,39 [30]	4:2
2010/24 Wed 2nd	12,25,27,33,35,41 [20]	5:1
2010/24 Wed 1st	1,5,27,33,39,48 [36]	5:1
2010/23 Sun 2nd	1,12,24,33,38,42 [11]	2:4
2010/23 Sun 1st	3,13,14,19,23,48 [15]	4:2
2010/23 Wed 2nd	2,19,20,23,32,48 [24]	2:4
2010/23 Wed 1st	3,4,13,25,29,34 [37]	4:2
2010/22 Sun 2nd	4,7,8,23,25,28 [31]	3:3
2010/22 Sun 1st	3,13,19,27,31,44 [2]	5:1
2010/22 Wed 2nd	3,5,6,18,20,22 [48]	2:4
2010/22 Wed 1st	3,7,12,27,30,32 [1]	3:3
2010/21 Sun 2nd	3,9,11,20,23,43 [18]	5:1
2010/21 Sun 1st	1,12,20,23,30,34 [33]	2:4

Blue background highlights all draws with odd/even ratio 4:2. You can see that this combination of odd/even numbers hasn't hit in the last 7 draws as its latest hit is from draw 2010/27 Wed 2nd. The longest interval between two following hits of 4:2 is 5 draws, it happened between dates 2010/25 Wed 2nd and 2010/26 Sun 1st. The shortest draw interval between two hits is one draw, dates 2010/24 Sun 1st and 2010/24 Sun 2nd. The average count of draws between two following hits of odd/even combination 4:2 is 2.83.

Statistical table in Analyzer window shows the information above in this form:

Odd/Even	Occurrence	[%]	Latest	AVG Interval	Min Interval	Max Interval	Due
0:6	134,596	0.96	n/a	n/a	n/a	n/a	n/a
1:5	1,062,600	7.60	9	7.00	7	7	1.29
2:4	3,187,800	22.80	4	4.33	1	8	0.92
3:3	4,655,200	33.29	1	3.00	1	11	0.33
4:2	3,491,400	24.97	7	2.83	1	5	2.47
5:1	1,275,120	9.12	19	3.33	1	6	5.70
6:0	177,100	1.27	n/a	n/a	n/a	n/a	n/a

Latest - shows how many draws elapsed since the last hit of the given statistical property. Value 1 means that the statistical property was found in the latest draw.
AVG Interval - the average count of draws between two following hits of the given statistical property.
Min Interval - the lowest count of draws between two hits of the given statistical property.
Max Interval - the highest count of draws between two hits of the given statistical property.
Due - this columns gives a hint how likely it is - from statistical point of view - that a given property will hit in the next draw. Due values lower than 1 mean that the given property isn't expected in the next draw. Due values higher than 1 mean that the given property is long overdue and should hit in the next draw. Due values close to 1 mean that the given property is very close to its average hit cycle and should come up in the next draw.
For example odd/even ratio 4:2 in the example above has an average draw interval of 2.83 draws. This combination of odd/even numbers is long overdue because it hasn't hit for 7 draws in a row. Therefore its Due value is 7 / 2.83 = 2.47.
On the other hand, odd/even combination 3:3 has an average cycle of 3 draws and it came up in the very latest draw. Its Due value is 1 / 3 = 0.33 so it shouldn't be expected in the next draw.
Odd/even combination 2:4 hits approximately every 4 draws and it hasn't hit for 4 draws in a row. Its Due value is 4 / 4.33 = 0.92 so it is expected in the next draw as it is close to its average hit/skip cycle.

The draw interval data always apply to the selection of past winning numbers made in Ticket Analyzer window under option Analyze intervals of past winning numbers draws. The most common selection should be either several latest draw or the whole winning numbers database. It doesn't make much sense to analyze draw intervals of draws that have no relation to the latest draw in your winning numbers database. But for back-testing purposes you may want to exclude the very latest draw to verify your lottery strategy.

Note: The number of draws elapsed since the latest hit of a statistical property is excluded from the calculation of AVG, Min and Max Intervals since it isn't considered as an actual hit.

Note: Value n/a in statistical tables means that are not enough occurrences of the given statistical property in analyzed past draws to provide draw interval data.

Toolbar above statistical tables provides the following options:

- hides table rows where the Occurrence column shows value 0. It's useful especially for tables showing many rows, for example when analyzing triplets or quads.
- displays the complete history of draw intervals for selected table row. See below.
- opens Statistical Properties Filter window to accept/reject Package tickets that have the selected statistical property or properties. Note: This button is enabled only when the Package isn't empty.

Interval Details

To see the complete history of draw intervals for a selected statistical property, click button at the top of Analyzer window. The draw interval details tables and chart are displayed at the bottom of Analyzer window:

The screenshot above shows draw interval details for odd/even ratio 4:2 for the latest 30 draws in Expert Lotto 6/49 demo lottery. See also the tables above.

Interval Sequence table on the left-hand side shows how many draws elapsed between each hit of 4:2 odd/even ratio. The oldest intervals are at the top of the table, latest values are at the bottom of the table. As you can see from the table odd/even 4:2 hasn't hit for 7 latest draws, 3 draws elapsed between the latest hit and the previous hit of this odd/even ratio. Before that, 4:2 skipped 4 draws etc. Data in this table correspond to statistical properties table above. Interval Sequence table also shows that the minimum interval is 1 and maximum interval is 5 (the number of draws elapsed from the latest hit is excluded from min/max/avg interval calculation).

The same information is also available as a chart in the middle section where you can use various chart tools to estimate the probability that the given statistical property will hit in the next draw.

You can toggle button to run automated prediction of the next draw interval. The predicted value is then displayed in chart's toolbar.

Coefficient of variation indicator in chart's toolbar shows the measure of dispersion of data in the chart. Read more details here.

The table on the right shows how many times each draw interval repeats. In the example above interval of 2 draws repeats two times. It is another hint when evaluating the statistics for the next draw: Draw intervals with high repeat counts are likely - from statistical point of view - to repeat again in the coming draws.

You can sort the Interval Repeats table by clicking its column headers.

Statistical Charts

Summary statistics are also available as bar charts where it's easier to make a better mental picture how many analyzed tickets have a given statistical property.

Use the toolbar at the top of Analyzer window to customize the chart:

Zoom - by default each chart shows the whole horizontal axis. You can zoom any part of the axis by clicking into the chart and dragging the mouse cursor to the right. To reset the zoom either click this button or click the chart window and drag the mouse to the left.
Range Tool - toggles adjustable chart ranges. There are two sliders to the right of chart window highlighting a portion of the vertical axis when toggled on. Use your mouse to move the sliders, hold down CTRL key to move both sliders at the same time. Alternatively you can enter chart ranges directly from keyboard into the spinner fields at the top and at the bottom of the sliders. The range tool helps when evaluating how many statistical properties fall into highlighted area.
Average Value - displays a horizontal line in the chart which denotes the average occurrence of the given statistical property in analyzed tickets.
Additional axis - when a chart window shows more than one data set this button can be used to toggle the display of additional vertical axis.
- Sorts the chart in ascending order.
- Sorts the chart in descending order.
- opens Statistical Properties Filter window to accept/reject Package tickets that have the selected statistical property or properties. Note: This button is enabled only when the Package isn't empty and chart ranges are showing.
More - this button shows a popup menu where you can toggle additional bars to be displayed in the chart: Latest, AVG Interval and Due. So you can compare occurrences of each statistical property with e.g. Due values.

Hover mouse cursor above any bar in the chart window to see a tooltip with detailed information for the corresponding statistical property.

You can export any chart as a JPG or PNG image using menu File - Export.