United Kingdom: Thunderball

Thunderball Autocorrelation Analysis

Thunderball: 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 "Thunderball" 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
1-0.2625Normal
20.0500Normal
30.1125Normal
40.0500Normal
5-0.0553Normal
6-0.0553Normal
70.0000Normal
8-0.1167Normal
9-0.0553Normal
10-0.1167Normal
11-0.1167Normal
12-0.0167Normal
13-0.0553Normal
14-0.1853Normal
150.2069Normal
16-0.1853Normal
17-0.1167Normal
18-0.0553Normal
19-0.1853Normal
20-0.2000Normal
21-0.0553Normal
22-0.1853Normal
23-0.2000Normal
24-0.2625Normal
25-0.0553Normal
26-0.0489Normal
27-0.1167Normal
28-0.1265Normal
290.3625Normal
30-0.1167Normal
31-0.0611Normal
32-0.0553Normal
33-0.0553Normal
34-0.0553Normal
350.1833Normal
36-0.0026Normal
370.0500Normal
38-0.0553Normal
39-0.1167Normal

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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