Selecting Audit Samples Using Benford's Law
We contribute to digital analysis by developing two mathematical programming models that can assist auditors in selecting more promising audit samples, using Benford's law. One model identifies the smallest subset of nonconforming records in a dataset, given some predefined conformity criteria,...
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Published in | Auditing : a journal of practice and theory Vol. 32; no. 2; pp. 53 - 65 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
Sarasota
American Accounting Association
01.05.2013
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Abstract | We contribute to digital analysis by developing two mathematical programming models that can assist auditors in selecting more promising audit samples, using Benford's law. One model identifies the smallest subset of nonconforming records in a dataset, given some predefined conformity criteria, and the other highlights the k most nonconforming records. The models take into account several conformity tests and test statistics simultaneously. The application of the models is illustrated using suggested protocols on a set of simulated data. Finally, the effectiveness of the models in detecting typical data manipulations is assessed under different contamination levels. |
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AbstractList | We contribute to digital analysis by developing two mathematical programming models that can assist auditors in selecting more promising audit samples, using Benford's law. One model identifies the smallest subset of nonconforming records in a dataset, given some predefined conformity criteria, and the other highlights the k most nonconforming records. The models take into account several conformity tests and test statistics simultaneously. The application of the models is illustrated using suggested protocols on a set of simulated data. Finally, the effectiveness of the models in detecting typical data manipulations is assessed under different contamination levels. [PUBLICATION ABSTRACT] We contribute to digital analysis by developing two mathematical programming models that can assist auditors in selecting more promising audit samples, using Benford's law. One model identifies the smallest subset of nonconforming records in a dataset, given some predefined conformity criteria, and the other highlights the k most nonconforming records. The models take into account several conformity tests and test statistics simultaneously. The application of the models is illustrated using suggested protocols on a set of simulated data. Finally, the effectiveness of the models in detecting typical data manipulations is assessed under different contamination levels. |
Author | da Silva, Carlos Gomes Carreira, Pedro M. R. |
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Cites_doi | 10.1201/1079/43249.27.3.19990901/30268.1 10.1214/ss/1177009869 10.1016/S0748-5751(00)00008-7 10.1080/02664760601004940 10.2307/2369148 10.1080/00029890.1994.11997041 |
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Copyright | Copyright American Accounting Association Mar 2013 |
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References_xml | – volume: 27 start-page: 1 issue: 3 year: 1999 ident: 2024082916371454300_i1558-7991-32-2-53-Coderre1 article-title: Fraud detection using digital analysis publication-title: EDPACS doi: 10.1201/1079/43249.27.3.19990901/30268.1 contributor: fullname: Coderre – volume: 10 start-page: 354 issue: 4 year: 1995 ident: 2024082916371454300_i1558-7991-32-2-53-Hill1 article-title: A statistical derivation of the significant-digit law publication-title: Statistical Science doi: 10.1214/ss/1177009869 contributor: fullname: Hill – year: 1998 ident: 2024082916371454300_i1558-7991-32-2-53-Akresh1 article-title: Research opportunities in auditing: The second decade publication-title: Audit Approaches and Techniques contributor: fullname: Akresh – volume: 18 start-page: 127 year: 2000 ident: 2024082916371454300_i1558-7991-32-2-53-Drake1 article-title: Computer assisted analytical procedures using Benford's law publication-title: Journal of Accounting Education doi: 10.1016/S0748-5751(00)00008-7 contributor: fullname: Drake – volume: 2 start-page: 219 year: 2008 ident: 2024082916371454300_i1558-7991-32-2-53-Watrin1 article-title: Benford's law: An instrument for selecting tax audit targets publication-title: Review of Management Science contributor: fullname: Watrin – year: 2002 ident: 2024082916371454300_i1558-7991-32-2-53-AmericanInstituteofCertifiedPublicAccountantsAICPA2 article-title: Analytical Procedures publication-title: Statement on Auditing Standards No. 99 contributor: fullname: American Institute of Certified Public Accountants (AICPA) – volume: 34 start-page: 321 issue: 3 year: 2007 ident: 2024082916371454300_i1558-7991-32-2-53-Diekmann1 article-title: Not the first digit! Using Benford's law to detect fraudulent scientific data publication-title: Journal of Applied Statistics doi: 10.1080/02664760601004940 contributor: fullname: Diekmann – volume: 4 start-page: 39 year: 1881 ident: 2024082916371454300_i1558-7991-32-2-53-Newcomb1 article-title: Note of the frequency of use of the different digits in natural numbers publication-title: American Journal of Mathematics doi: 10.2307/2369148 contributor: fullname: Newcomb – start-page: 879 year: 1994 ident: 2024082916371454300_i1558-7991-32-2-53-Boyle1 article-title: An application of Fourier series to the most significant digit problem publication-title: American Mathematical Monthly doi: 10.1080/00029890.1994.11997041 contributor: fullname: Boyle – volume: 5 start-page: 17 year: 2004 ident: 2024082916371454300_i1558-7991-32-2-53-Durtschi1 article-title: The effective use of Benford's law to assist in detecting fraud in accounting data publication-title: Journal of Forensic Accounting contributor: fullname: Durtschi – start-page: 3 year: 1994 ident: 2024082916371454300_i1558-7991-32-2-53-Nigrini1 article-title: Using digital frequencies to detect fraud publication-title: The White Paper contributor: fullname: Nigrini – volume: 63 start-page: 321 issue: 2 year: 1988 ident: 2024082916371454300_i1558-7991-32-2-53-Carlslaw1 article-title: Anomalies in income numbers: Evidence of goal oriented behavior publication-title: The Accounting Review contributor: fullname: Carlslaw – year: 1988 ident: 2024082916371454300_i1558-7991-32-2-53-AmericanInstituteofCertifiedPublicAccountantsAICPA1 article-title: Analytical Procedures publication-title: Statement on Auditing Standards No. 56 contributor: fullname: American Institute of Certified Public Accountants (AICPA) – ident: 2024082916371454300_i1558-7991-32-2-53-Coderre2 – volume: 51 start-page: 16 issue: 3 year: 2002 ident: 2024082916371454300_i1558-7991-32-2-53-Wallace1 article-title: Assessing the quality of the data used for benchmarking and decision-making publication-title: Journal of Government Financial Management contributor: fullname: Wallace – volume: 16 start-page: 52 issue: 2 year: 1997 ident: 2024082916371454300_i1558-7991-32-2-53-Nigrini2 article-title: The use of Benford's law as an aid in analytical procedures publication-title: Auditing: A Journal of Practice & Theory contributor: fullname: Nigrini – volume: 78 start-page: 551 issue: 4 year: 1938 ident: 2024082916371454300_i1558-7991-32-2-53-Benford1 article-title: The law of anomalous numbers publication-title: Proceedings of the American Philosophical Society contributor: fullname: Benford |
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SubjectTerms | Auditing Auditors Conformity Manipulation Mathematical models Mathematical programming Studies |
Title | Selecting Audit Samples Using Benford's Law |
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