View More View Less
  • 1 Departamento de Física, Universidad de Alcalá, 28871, Alcalá de Henares, Madrid, Spain
  • | 2 Departamento de Gestión de la Información Científica Integrada, Fundación Española para la Ciencia y la Tecnología, C/Pedro Teixeira, 8 (planta 2), 28020, Madrid, Spain, mangeles.coslado@fecyt.es
Restricted access

Abstract

First order digits in data sets of natural and social data often follow a distribution called Benford's law. We studied the number of articles published, citations received and impact factors of all journals indexed in the Science Citation Index from 1998 to 2007. We tested their compliance with Benford's law. Citations data followed Benford's law remarkably well in all years studied. However, for the data on the numbers of articles, the differences between the values predicted by Benford's law and the observed values were always statistically significant. This was also the case for most data for impact factors.

  • Benford, F 1938 The law of anomalous numbers. Proceedings of the American Philosophical Society 78:551572.

  • Cohen, D 1976 An explanation of first digit phenomenon. Journal of Combinatorial Theory Series A 20:367370 .

  • Gauvrit, N, Delahaye, JP 2008 A new general explanation of Bendford's law. Mathematics and Social Sciences 182:715.

  • Hales, DN, Sridharan, V, Radhakrishnan, A, Chakravorty, SS, Siha, SM 2008 Testing the accuracy of employee-reported data: An inexpensive alternative approach to traditional methods. European Journal of Operational Research 189:583593 .

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Jolion, JM 2001 Images and Benford's Law. Journal of Mathematical Imaging and Vision 14:7381 .

  • Judge, G, Schechter, L 2009 Detecting problems in survey data using Benford's law. Journal of Human Resources 44:124.

  • Kumar, K, Bhattacharya, S 2002 Benford's law and its application in financial fraud detection. Advances in Financial Planning and Forecasting 11:5770 .

    • Crossref
    • Search Google Scholar
    • Export Citation
  • Newcomb, S 1881 Note on the frequency of use of the different digits in natural numbers. American Journal of Mathematics 4:3940 .

  • Ni, DD, Wei, L, REN, ZZ 2009 Benford's Law and β-decay half-lives. Communications in Theoretical Physics 51:713716 .

  • Pain, JC 2008 Benford's law and complex atomic spectra. Physical Review E 77:012008012102 .

  • Shao, L, Ma, BQ 2009 First digit distribution of hadron full width. Modern Physics Letters A 24:32753282 .

Manuscript submission: http://www.editorialmanager.com/scim/

  • Impact Factor (2019): 2.867
  • Scimago Journal Rank (2019): 1.210
  • SJR Hirsch-Index (2019): 106
  • SJR Quartile Score (2019): Q1 Computer Science Apllications
  • SJR Quartile Score (2019): Q1 Library and Information Sciences
  • SJR Quartile Score (2019): Q1 Social Sciences (miscellaneous)
  • Impact Factor (2018): 2.770
  • Scimago Journal Rank (2018): 1.113
  • SJR Hirsch-Index (2018): 95
  • SJR Quartile Score (2018): Q1 Library and Information Sciences
  • SJR Quartile Score (2018): Q1 Social Sciences (miscellaneous)

For subscription options, please visit the website of Springer

Scientometrics
Language English
Size B5
Year of
Foundation
1978
Volumes
per Year
4
Issues
per Year
12
Founder Akadémiai Kiadó
Founder's
Address
H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
Publisher Akadémiai Kiadó
Springer Nature Switzerland AG
Publisher's
Address
H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible
Publisher
Chief Executive Officer, Akadémiai Kiadó
ISSN 0138-9130 (Print)
ISSN 1588-2861 (Online)