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Volume 17   Issue 2   Year 2022
Starunova O.A., Rudnev S.G., Ivanova A.E., Semenova V.G., Starodubov V.I.

Application of Benford's Law for Quality Assessment of Preventive Screening Data

Mathematical Biology & Bioinformatics. 2022;17(2):230-249.

doi: 10.17537/2022.17.230.

References

  1. Benford F. The law of anomalous numbers. Proc. Am. Phil. Soc. 1938;78(4):551–572.
  2. Durtschi C., Hillison W., Pacini C. The effective use of Benford’s law to assist in detecting fraud in accounting data. J. Forensic Accounting. 2004;5(1):17–33.
  3. Mebane W.R. Jr. Election forensics: vote counts and Benford’s law. https://www-personal.umich.edu/~wmebane/pm06.pdf (accessed 02 November 2022).
  4. Khosravani A., Rasinariu C. Emergence of Benford’s law in music. ArXiv: 1805.06506 [physics.soc-ph]. 2018. https://arxiv.org/abs/1805.06506 (accessed 11 October 2022).
  5. Coeurjolly J.-F. Digit analysis for Covid-19 reported data. ArXiv: 2005.05009 [stat.AP]. 2020. https://arxiv.org/pdf/2005.05009.pdf (accessed 11 October 2022).
  6. Newcomb S. Note on the frequency of use of different digits in natural numbers. Am. J. Math. 1881;4(1):39–40. doi: 10.2307/2369148
  7. Franel J. A propos des tables de logarithmes. Vjschr. Naturf. Ges. Zurich. 1917;62(1–2):286–295.
  8. Boring E.G. The logic of normal law of error in mental measurement. Am. J. Psychology. 1920;31(1):1–30. doi: 10.2307/1413989
  9. Hill T.P. A statistical derivation of the significant-digit law. Statist. Sci. 1995;10(4):354–363. doi: 10.1214/ss/1177009869
  10. Nigrini M.J. Benford's law: application for forensic accounting, auditing and fraud detection. Wiley and Sons: New Jersey, 2012. P. 352. doi: 10.1002/9781119203094
  11. Berger A., Hill T.P., Rogers E. Benford online bibliography. 2009-2022. http://www.benfordonline.net (accessed 11 October 2022).
  12. Berger A., Hill T.P. A basic theory of Benford’s law. Probab. Surveys. 2011;8:1–126. doi: 10.1214/11-PS175
  13. Chuchalin A.G. Prevention and control of chronic non-infectious diseases. Pulmonologiya. 2009(1):5–10 (in Russ.). doi: 10.18093/0869-0189-2009-0-1-5-10
  14. Kobyakova O.S., Kulikov E.S., Malykh R.D., Chernogoryuk G.E., Deev I.A., Starovoytova E.A., Kirillova N.A., Zagromova T.A., Balaganskaya M.A. Strategies for the prevention of chronic non-communicable diseases: a modern look at the problem. Cardiovascular Therapy and Prevention. 2020;18(4):92–98 (in Russ.). doi: 10.15829/1728-8800-2019-4-92-98
  15. NCD Risk Factor Collaboration. Worldwide trends in body-mass index, underweight, overweight, and obesity from 1975 to 2016: a pooled analysis of 2416 population-based measurement studies in 128·9 million children, adolescents, and adults. Lancet. 2017;390(10113):2627–2642. doi: 10.1016/S0140-6736(17)32129-3
  16. Silverio R., Goncalves D.C., Andrade M.F., Seelaender M. Coronavirus disease 2019 (COVID-19) and nutritional status: the missing link? Adv. Nutr. 2021;12(3):682–692. doi: 10.1093/advances/nmaa125
  17. Heymsfield S.B., Lohman T.G., Wang Z., Going S.B. Human body composition. 2nd ed. Champaign, IL: Human Kinetics, 2005. 533 p. doi: 10.5040/9781492596950
  18. Nikolaev D.V., Smirnov A.V., Bobrinskaia I.G., Rudnev S.G. Bioimpedansnyi analiz sostava tela cheloveka (Bioimpedance analysis of human body composition). Moscow, 2009. 392 p. (in Russ.).
  19. Pogosova N.V., Vergazova É.K., Ausheva A.K., Suvorov S.S., Boĭtsov S.A. Health centers: achieved results and prospects. Profilakticheskaya meditsina. 2014;17(4):16–24 (in Russ.).
  20. Krivonos O.V., Boitsov S.A., Pogosova N.V., Iufereva Iu.M., Ianushevich O.O., Kuz'mina E.M., Neroev V.V., Tutel'ian V.A., Baturin A.K., Pogozheva A.V., Briun E.A. Okazanie meditsinskoi pomoshchi vzroslomu naseleniiu v tsentrakh zdorov'ia: metodicheskie rekomendatsii (Provision of medical care to the adult population in health centers: guidelines). Moscow, 2012. 110 p. (in Russ.).
  21. Starodubov V.I., Rudnev S.G., Nikolaev D.V., Korostylev K.A. Federal information resource of health centres: current state and developmental perspectives. Social Aspects of Population Health. 2015;45(5). http://vestnik.mednet.ru/content/view/706/30/lang,ru/ (accessed 11 October 2022).
  22. Starunova O.A., Rudnev S.G., Starodubov V.I. HCViewer: software and technology for quality control and processing raw mass data of preventive screening. Russ. J. Numer. Anal. Math. Model. 2017;32(5):315–326. doi: 10.1515/rnam-2017-0030
  23. Rudnev S.G., Soboleva N.P., Sterlikov S.A., Nikolaev D.V., Starunova O.A., Chernykh S.P., Eriukova T.A., Kolesnikov V.A., Mel'nichenko O.A., Ponomareva E.G. Bioimpedansnoe issledovanie sostava tela naseleniia Rossii (Bioimpedance study of the body composition of the population of Russia). Moscow, 2014. 493 p. (in Russ.).
  24. Starunova O.A., Rudnev S.G., Starodubov V.I. HCViewer: programma dlia avtomatizirovannogo analiza kachestva, fil'tratsii i obrabotki massovykh dannykh profilakticheskogo skrininga v tsentrakh zdorov'ia (HCViewer: software for automated quality analysis, filtering and processing of preventive screening mass data in health centers): Certificate of state registration of the computer program No. 2020665580 27.11.2020 (in Russ.).
  25. Mikkers M., Sauter W., Vincke P., Boertjens J. Healthcare fraud, corruption and waste in Europe: national and academic perspectives. The Hague: Eleven International Publishing, 2017. 336 p.
  26. Global Health Care Anti-Fraud Network. 2022. http://www.ghcan.org (accessed 11 October 2022).
  27. Federal Service for Surveillance in Healthcare. System for evaluating the effectiveness and efficiency of control and supervisory activities. https://roszdravnadzor.gov.ru/reform/effectiveness (accessed 11 October 2022).
  28. Cinelli C. Package «benford.analysis». Benford analysis for data validation and forensic analytics. Version 0.1.5. December 21, 2018. https://cran.r-project.org/web/packages/benford.analysis/benford.analysis.pdf (accessed 11 October 2022).
  29. UK Biobank. Data-Field 23106. Impedance of whole body. Data. 2022. https://biobank.ndph.ox.ac.uk/ukb/field.cgi?id=23106 (accessed 11 October 2022).
  30. Morrow J. Benford's law, families of distributions and a test basis. Centre for Economic Performance, London School of Economics and Political Science, 2014. 29 p. http://cep.lse.ac.uk/pubs/download/dp1291.pdf (accessed 11 October 2022).
  31. Starodubov V.I., Rudnev S.G., Nikolaev D.V., Korostylev K.A. Analiticheskii vestnik Soveta Federatsii FS RF (Analytical Bulletin of the Federation Council of the Federal Assembly of the Russian Federation). 2015;44(597):43–49 (in Russ.).
Table of Contents
Original Article
Math. Biol. Bioinf.
2022;17(2):230-249
doi: 10.17537/2022.17.230
published in Russian

Abstract (rus.)
Abstract (eng.)
Full text (rus., pdf)
References

 
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