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:

tip 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:

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.

tip 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.

tip 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
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:

tip You can select one or more table rows, click menu Edit - Copy and then switch to a complex filter window and press menu Edit - Paste to create a new Occurrences filter.

tip Some Analyzer tables are connected to ticket filters. For example you can selected several rows in Ticket Numbers analyzer and then open Match Numbers ticket filter. You will see that the numbers highlighted in Analyzer table are automatically pre-selected in the filter window. So you can easily build a Complex Filter that accepts/rejects number with desired statistical properties (Latest, AVG Interval, Due etc). The following ticket filters support this feature:

Ticket Filter Analyzer Table
Match Numbers Ticket Numbers
Consecutive Pairs Consecutive Pairs
Consecutive Triplets Consecutive Triplets
Consecutive Quads Consecutive Quads
First/Last Digits Digits Per Ticket
Numbers at Positions Ticket Positions
Digits at Positions Positional First/Last Digits
Bonus Numbers Bonus Numbers
Segment Combinations Segment Combinations

Interval Details

To see the complete history of draw intervals for a selected statistical property, click button intervals at the top of Analyzer window. The draw interval details tables and chart are displayed at the bottom of Analyzer window:
analyzer1.png

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.

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

hint You can change the layout of split windows using menu View - Split orientation.

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.

tip 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:

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

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