The power of one: Benford's Law

The concept of Benford’s law, also known as the first-digit phenomenon, has been known to mathematicians since 1881. It is counter-intuitive, difficult to explain in simple terms, and has suffered from being described variously as ‘a numerical aberration’, ‘an oddity’, ‘a mystery’ – but also as ‘a m...

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Main Authors: Kruger, Paul, Yadavalli, Sarma
Format: Article
Language:English
Published: Stellenbosch University 2017-08-01
Series:South African Journal of Industrial Engineering
Subjects:
Online Access:http://sajie.journals.ac.za/pub/article/view/1753
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author Kruger, Paul
Yadavalli, Sarma
author_facet Kruger, Paul
Yadavalli, Sarma
author_sort Kruger, Paul
collection DOAJ
description The concept of Benford’s law, also known as the first-digit phenomenon, has been known to mathematicians since 1881. It is counter-intuitive, difficult to explain in simple terms, and has suffered from being described variously as ‘a numerical aberration’, ‘an oddity’, ‘a mystery’ – but also as ‘a mathematical gem’. However, it has developed into a recognised statistical technique with several practical applications, of which the most notable is as a fraud detection mechanism in forensic accounting. This paper will briefly discuss and demonstrate the special numerical characteristics of Benford’s law. It will attempt to investigate the law’s possible application to the detection of data manipulation and data tampering that might exist in papers published in engineering and scientific journals. Firstly, it will be applied to an investigation of the so-called Fisher-Mendel controversy. Secondly, Benford’s analysis will be applied to six recently published papers selected from the South African Journal of Industrial Engineering.
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spelling doaj.art-bf0404b50eca4b24bd023932a6b20afa2022-12-22T03:57:30ZengStellenbosch UniversitySouth African Journal of Industrial Engineering1012-277X2224-78902017-08-0128211310.7166/28-2-1753The power of one: Benford's LawKruger, Paul0Yadavalli, Sarma1University of PretoriaUniversity of PretoriaThe concept of Benford’s law, also known as the first-digit phenomenon, has been known to mathematicians since 1881. It is counter-intuitive, difficult to explain in simple terms, and has suffered from being described variously as ‘a numerical aberration’, ‘an oddity’, ‘a mystery’ – but also as ‘a mathematical gem’. However, it has developed into a recognised statistical technique with several practical applications, of which the most notable is as a fraud detection mechanism in forensic accounting. This paper will briefly discuss and demonstrate the special numerical characteristics of Benford’s law. It will attempt to investigate the law’s possible application to the detection of data manipulation and data tampering that might exist in papers published in engineering and scientific journals. Firstly, it will be applied to an investigation of the so-called Fisher-Mendel controversy. Secondly, Benford’s analysis will be applied to six recently published papers selected from the South African Journal of Industrial Engineering.http://sajie.journals.ac.za/pub/article/view/1753Benford's Lawstatistical techniques
spellingShingle Kruger, Paul
Yadavalli, Sarma
The power of one: Benford's Law
South African Journal of Industrial Engineering
Benford's Law
statistical techniques
title The power of one: Benford's Law
title_full The power of one: Benford's Law
title_fullStr The power of one: Benford's Law
title_full_unstemmed The power of one: Benford's Law
title_short The power of one: Benford's Law
title_sort power of one benford s law
topic Benford's Law
statistical techniques
url http://sajie.journals.ac.za/pub/article/view/1753
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