Mathematical Formulation of the Effectiveness of “Separation of Duties” as a Preventive Control Activity

Author:

Barra Roberta Ann1,Savage Arline2ORCID,Im Eric1

Affiliation:

1. University of Hawai'i at Hilo

2. The University of Alabama at Birmingham

Abstract

ABSTRACT We contribute to the literature by examining, for the first time, degrees of separation of duties and ask whether SOD is an effective preventive control. We develop a mathematical model of the theoretical number of organizational fraud incidents, with and without SOD. We find that SOD results in the same or increased possibilities of fraud, relative to a lack of SOD, and that SOD needs to prevent 99 percent of frauds to always be an effective preventive control. Moreover, SOD's effectiveness is impaired by collusion. We suspect, however, that while acknowledging this impairment most people disregard or assign a low probability to collusion. We find that even when we assign low probabilities, the sheer number of possible collusive engagements weakens SOD as an effective preventive control. We illustrate our results with evidence provided by the Association for Certified Fraud Examiners (ACFE).

Publisher

American Accounting Association

Subject

General Medicine,Cell Biology,Developmental Biology,Embryology,Anatomy

Reference43 articles.

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2. Ashton, R. H. 1974. An experimental study of internal control judgments. Journal of Accounting Research12 ( 1): 143– 157. https://doi.org/10.2307/2490532

3. Association of Certified Fraud Examiners (ACFE). 2018. Report to the Nations: 2018 Global Study on Occupational Fraud and Abuse. Austin, TX: ACFE.

4. Barra, R. A. 2010. The impact of internal controls and penalties on fraud. Journal of Information Systems24 ( 1): 1– 21. https://doi.org/10.2308/jis.2010.24.1.1

5. Barra, R. A., and GriggsK. 2007. Internal controls: Lessons to be learned from fire. International Journal of Services and Standards3 ( 4): 375– 389. https://doi.org/10.1504/IJSS.2007.015222

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