BeyondBenford: An R Package to Determine Which of Benford's or BDS's Distributions is the Most Relevant

TL;DR

BeyondBenford is an R package that compares the fit of Benford's and BDS's digit distributions in datasets, helping determine which distribution best models the data.

Contribution

The package provides a new tool for assessing the relevance of Benford's versus BDS's distributions using goodness-of-fit tests and visualizations.

Findings

Enables comparison of digit distribution fits in datasets.

Uses chi-squared test to quantify goodness of fit.

Provides histograms for visual assessment.

Abstract

The package BeyondBenford compares the goodness of fit of Benford's and Blondeau Da Silva's (BDS's) digit distributions in a dataset. The package is used to check whether the data distribution is consistent with theoretical distributions highlighted by Blondeau Da Silva or not: this ideal theoretical distribution must be at least approximately followed by the data for the use of BDS's model to be well-founded. It also allows to draw histograms of digit distributions, both observed in the dataset and given by the two theoretical approaches. Finally, it proposes to quantify the goodness of fit via Pearson's chi-squared test.