Kazakhstan: KENO2

KENO2 Autocorrelation Analysis

KENO2: do draws have "memory"? Are results correlated between draws?

Autocorrelation shows whether the results of draw N are related to draw N-1, N-2, and beyond. If significant autocorrelation is detected, it's a valuable signal for forecasting. If not, it confirms the randomness of the "KENO2" lottery.

Analysis based on 20 draws from to
Max lag:

Draw sums autocorrelation

Correlogram with 95% confidence intervals
20
Observations
0
Significant lags
±0.4383
95% confidence interval
No autocorrelation detected
All ACF values are within the 95% confidence interval. The sequence is statistically random.

ACF(1) for All Numbers

Autocorrelation at lag 1 — quick overview of each number's "memory"
BallACF(1)Status
1-0.0553Normal
20.1833Normal
3-0.0489Normal
4-0.2000Normal
50.1709Normal
60.4500Significant
70.2500Normal
80.2657Normal
9-0.1405Normal
100.3625Normal
110.3357Normal
12-0.0833Normal
130.1833Normal
140.1833Normal
15-0.0833Normal
16-0.0833Normal
170.0262Normal
18-0.1265Normal
19-0.1853Normal
20-0.1405Normal
21-0.1375Normal
22-0.1853Normal
230.4389Significant
240.1333Normal
25-0.2000Normal
26-0.0833Normal
270.1833Normal
28-0.0167Normal
29-0.1167Normal
30-0.1167Normal
310.2069Normal
32-0.1405Normal
330.0262Normal
34-0.3500Normal
35-0.2833Normal
36-0.2625Normal
37-0.1167Normal
38-0.2000Normal
39-0.0489Normal
400.0500Normal
41-0.1853Normal
42-0.0833Normal
430.0262Normal
440.0940Normal
45-0.1853Normal
460.1833Normal
470.4389Significant
48-0.3071Normal
49-0.0750Normal
50-0.1853Normal
510.3625Normal
52-0.2000Normal
53-0.1621Normal
540.2643Normal
550.4389Significant
56-0.0167Normal
57-0.0167Normal
58-0.0833Normal
59-0.0489Normal
60-0.2833Normal
610.1690Normal
62-0.2625Normal
630.0940Normal
64-0.0553Normal
650.1333Normal
66-0.3786Normal
670.0940Normal
68-0.2833Normal
690.3167Normal
70-0.3786Normal
710.5990Significant
72-0.2119Normal
73-0.0167Normal
740.2643Normal
75-0.4500Significant
76-0.0167Normal
77-0.2833Normal
78-0.2000Normal
79-0.3250Normal
80-0.0833Normal

About Autocorrelation

Mathematical foundations

The autocorrelation function (ACF) measures the linear dependence between values of a time series separated by k steps (lag). In the context of a lottery: is the result of draw N related to the result of draw N-k?

ACF Formula

ACF(k) = Σ(xₜ - x̄)(xₜ₊ₖ - x̄) / [n · Var(x)]

ACF values range from -1 to +1. If |ACF| exceeds the confidence interval ±1.96/√n, the correlation is statistically significant.

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