How to detect what drives deviations from Benford’s law? An application to bank deposit data

Karlo Kauko

Empirical Economics, 2024, vol. 67, issue 3, No 6, 1045-1061

Abstract: Abstract The Newcomb-Benford law states that the frequency of different leading significant digits in many datasets typically follows a specific distribution. Deviations from this law are often a sign of data manipulation. There has been no established method to test whether the non-reliability of observations depends on some potential explanatory variables. A novel method to address this issue is presented. If a leading significant digit has a higher observed frequency than implied by Benford’s distribution, such observations are particularly likely to be non-reliable. Dividing the frequency in Benford’s distribution by the observed frequency of the same leading significant digit yields an ordinal explained variable. The method is applied to bank deposit data collected in interviews. Many interviewees have provided rounded data, which may be a problem. Answers seem unreliable if the respondent belongs to the age group 51–65, has only primary education, does not live alone, and lives in a city.

Keywords: Benford’s law; Newcomb-Benford’s law; Deposits; Household surveys; Data reliability (search for similar items in EconPapers)
JEL-codes: C49 D14 G21 (search for similar items in EconPapers)
Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s00181-024-02576-1 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:empeco:v:67:y:2024:i:3:d:10.1007_s00181-024-02576-1

Ordering information: This journal article can be ordered from
http://www.springer. ... rics/journal/181/PS2

DOI: 10.1007/s00181-024-02576-1

Access Statistics for this article

Empirical Economics is currently edited by Robert M. Kunst, Arthur H.O. van Soest, Bertrand Candelon, Subal C. Kumbhakar and Joakim Westerlund

More articles in Empirical Economics from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().