Research Workbench

First-digit distribution audit

Compare observed first-digit counts with Benford reference proportions.

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The starting values are hypothetical. Use aggregate or synthetic inputs only.

Calculation results

Total observations
100
Mean absolute proportion gap
0.0028619434
Observed minus reference by digit
1: -0.00103 · 2: 0.003909 · 3: -0.004939 · 4: 0.00309 · 5: 0.0008188 · 6: 0.003053 · 7: 0.002008 · 8: -0.001153 · 9: -0.005757

How to interpret the output

Expected first-digit probability is log10(1+1/d). Use only where the generating process plausibly supports this reference. Assigned identifiers, restricted ranges and reporting thresholds frequently violate it. Differences are descriptive and cannot establish misconduct.

Method reference