Empirical Information on the Small Size Effect Bias Relative to the False Positive Rejection Error for Benford Test-Screening

Yan Bao, Chuo-Hsuan Lee, Frank Heilig, Edward J. Lusk

Abstract


Due to the theoretical work of Hill Benford digital profile testing is now a staple in screening data for forensic investigations and audit examinations. Prior empirical literature indicates that Benford testing when applied to a large Benford Conforming Dataset often produces a bias called the FPE Screening Signal [FPESS] that misleads investigators into believing that the dataset is Non-Conforming in nature. Interestingly, the same FPESS can also be observed when investigators partition large datasets into smaller datasets to address a variety of auditing questions. In this study, we fill the empirical gap in the literature by investigating the sensitivity of the FPESS to partitioned datasets. We randomly selected 16 balance-sheet datasets from: China Stock Market Financial Statements Database™, that tested to be Benford Conforming noted as RBCD. We then explore how partitioning these datasets affects the FPESS by repeated randomly sampling: first 10% of the RBCD and then selecting 250 observations from the RBCD. This created two partitioned groups of 160 datasets each. The Statistical profile observed was: For the RBCD there were no indications of Non-Conformity; for the 10%-Sample there were no overall indications that Extended Procedures would be warranted; and for the 250-Sample there were a number of indications that the dataset was Non-Conforming. This demonstrated clearly that small datasets are indeed likely to create the FPESS. We offer a discussion of these results with implications for audits in the Big-Data context where the audit In-charge would find it necessary to partition the datasets of the client.


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DOI: https://doi.org/10.5539/ijef.v10n2p1

Copyright (c) 2018 Yan Bao, Chuo-Hsuan Lee, Frank Heilig, Edward J. Lusk

License URL: http://creativecommons.org/licenses/by/4.0

International Journal of Economics and Finance  ISSN  1916-971X (Print) ISSN  1916-9728 (Online)  Email: ijef@ccsenet.org

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