Benford's law states that the distribution of the first digit of many data sets is not uniform. The first digit of any random number will be 1 almost 30% of the time, and larger digits occur as the first digit with lower and lower frequency, to the point where 9 occurs as a first digit only 5% of the time. Here, we demonstrate that several data sets in the field of drug discovery follow Benford's distribution, whereas 'doctored' data do not. Our findings indicate the applicability of Benford's law in assessing data quality in the field of drug discovery. We also propose a useful index of evaluating data quality based on Benford's law.
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http://dx.doi.org/10.1016/j.drudis.2010.03.003 | DOI Listing |
J Clin Epidemiol
January 2025
Department of Obstetrics and Gynaecology, Monash University, Clayton, Australia; Aberdeen Centre for Women's Health Research, School of Medicine, University of Aberdeen, Aberdeen, UK. Electronic address:
Objective: No published methods for research integrity review include both statistical techniques applied to groups of randomised trials and individual assessment of papers. We propose a method based on practical experience of investigating data integrity across the collected papers of one author or author-group.
Study Design And Setting: We report our approach to investigating the collected papers of an author or author-group suspected of academic misconduct.
PLoS One
December 2024
Faculty of Management, Department of Economics and Finance, Comenius University Bratislava, Bratislava, Slovakia.
Purpose: The current research analyzes cosmetic earnings management practices in emerging and developed markets before and after the global financial crisis.
Design/methodology/approach: Using digital analysis, by applying Benford's Law the study analyzes the earnings adjustments that exceed a key reference point to determine whether earnings management anomaly exists or not? Based on a sample of 87165 firm-year observations of UK, US, Brazil, Russia, India, China and Pakistan listed corporations.
Findings: Findings show that the managers of emerging markets have more incentive to manipulate earnings than their counterparts from developed markets.
Health Econ Policy Law
September 2024
Department of Finance, Insurance and Real Estate, University of Memphis, Memphis, TN, USA.
We use Benford's law to examine the non-random elements of health care costs. We find that as health care expenditures increase, the conformity to the expected distribution of naturally occurring numbers worsens, indicating a tendency towards inefficient treatment. Government insurers follow Benford's law better than private insurers indicating more efficient treatment.
View Article and Find Full Text PDFSoc Sci Med
September 2024
College of Economics and Management, Huazhong Agricultural University, Wuhan, 430070, China. Electronic address:
This paper utilizes Benford's law, the distribution that the first significant digit of numbers in certain datasets should follow, to assess the accuracy of self-reported health expenditure data known for measurement errors. We provide both simulation and real data evidence supporting the validity assumption that genuine health expenditure data conform to Benford's law. We then conduct a Benford analysis of health expenditure variables from two widely utilized public datasets, the China Health and Nutrition Survey and the China Family Panel Studies.
View Article and Find Full Text PDFJ Health Monit
June 2024
Digital Global Public Health at the Hasso-Plattner-Institute (HPI), University of Potsdam, Potsdam, Germany.
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