# Not the First Digit! Using Benford's Law to Detect Fraudulent Scientif ic Data

@article{Diekmann2005NotTF, title={Not the First Digit! Using Benford's Law to Detect Fraudulent Scientif ic Data}, author={Andreas Diekmann}, journal={Journal of Applied Statistics}, year={2005}, volume={34}, pages={321 - 329} }

Abstract Digits in statistical data produced by natural or social processes are often distributed in a manner described by ‘Benford's law’. Recently, a test against this distribution was used to identify fraudulent accounting data. This test is based on the supposition that first, second, third, and other digits in real data follow the Benford distribution while the digits in fabricated data do not. Is it possible to apply Benford tests to detect fabricated or falsified scientific data as well…

## 154 Citations

Benford's Law as an Instrument for Fraud Detection in Surveys Using the Data of the Socio-Economic Panel (SOEP)

- Economics
- 2010

This paper focuses on fraud detection in surveys using Socio-Economic Panel (SOEP) data as an example for testing newly methods proposed here, and develops a measure that reflects the plausibility of the digit distribution in interviewer clusters and shows that in several SOEP subsamples, Benford's Law holds for the available continuous data.

Benford’s Law as an Instrument for Fraud Detection in Surveys Using the Data of the Socio-Economic Panel (SOEP)

- Sociology
- 2011

Summary This paper focuses on fraud detection in surveys using Socio-Economic Panel (SOEP) data as an example for testing newly methods proposed here. A statistical theorem referred to as Benford’s…

The First Digits Analysis Until the Fifth Benford Law in Financial Statement

- Business
- 2017

research aims to explore if there is fraud in a financial statement, use the Act stated that Benford’s distribution number the first digit until the fifth will follow the trend of lower number.…

Testing for Benford's Law: A Monte Carlo Comparison of Methods

- Business
- 2014

Testing data for conformity to Benford's law is used not only by auditors exploiting a numerical phenomenon to detect fraudulently reported data. Operationally goodness-of-fit tests are used to…

Does Benford’s Law hold in economic research and forecasting?

- Economics
- 2007

First and higher order digits in data sets of natural and socio-economic processes often follow a distribution called Benford’s law. This phenomenon has been used in business and scientific…

Benford’s Law as an Indicator of Fraud in Economics

- Economics
- 2009

Abstract Contrary to intuition, first digits of randomly selected data are not uniformly distributed but follow a logarithmically declining pattern, known as Benford’s law. This law is increasingly…

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- Computer Science
- 2009

The results suggest that Benford’s law is a product of the way people generate responses, rather than sensitivity to the relationship itself, which is a key part of adaptive approaches to decision making such as that of Gigerenzer, et al.

Do people fit to Benford's law, or do they have a Benford bias?

- EconomicsCogSci
- 2020

This paper argues that testing for fit to Benford’s law is the wrong question for behavioural data, instead it should be thought in terms of a “Benford bias” in which the first-digit distribution is distorted towards Benford's law.

Goodness-of-Fit Testing for the Newcomb-Benford Law With Application to the Detection of Customs Fraud

- Computer Science
- 2018

A new way of testing the Newcomb-Benford law for digit sequences is suggested that turns out to be particularly attractive for the detection of frauds in customs data collected from international trade.

A PPLICATION TO THE DETECTION OF CUSTOMS FRAUD OF THE G OODNESS-OFFIT TESTING FOR THE N EWCOMB-B ENFORD LAW

- Mathematics
- 2015

KEYWORDS: " anti-fraud " , " international trade " , " multiple testing " , " outlier detection " , " significant digit distribution ". 1 Abstract The " first digit " law, also called the " leading…

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