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Mean Absolute Deviation (MAD)

Definition

A practical Benford conformity measure that averages the absolute differences between observed and expected proportions across all leading digits, with Nigrini benchmarks classifying conformity as close, acceptable, marginal, or non-conforming.

Related terms

Benford's Law
An empirical regularity in naturally occurring numerical datasets: the leading digit follows a logarithmic distribution, with 1 appearing about 30% of the...
Chi-Square Test
A goodness-of-fit test comparing the observed digit frequencies in a dataset to the expected Benford frequencies, producing a test statistic that is...
Second-Digit Test
Analysis of the second significant digit in isolation, where 0 is expected to appear about 11.97% of the time. A spike in...
Two-Digit Test
An extension of Benford's Law to the first two significant digits, producing 90 possible combinations each with a predicted frequency, which is...
Z-Statistic
A per-digit test that calculates whether the deviation between an observed frequency and the Benford expected frequency for that single digit is...

Explained in

  • Benford's Law and Digital AnalysisA practical Benford conformity measure that averages the absolute differences between observed and expected proportions across all leading digits, with Nigrini...

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