Chi-Square Test
Definition
A goodness-of-fit test comparing the observed digit frequencies in a dataset to the expected Benford frequencies, producing a test statistic that is compared against a critical value at a chosen significance level.
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...
- Mean Absolute Deviation (MAD)
- A practical Benford conformity measure that averages the absolute differences between observed and expected proportions across all leading digits, with Nigrini benchmarks...
- 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 goodness-of-fit test comparing the observed digit frequencies in a dataset to the expected Benford frequencies, producing a test statistic that is compared a...