Statistical Analysis: Your Fraud Early Warning System
Despite implementation of the Sarbanes-Oxley Act of 2002 and other regulatory reforms, fraud remains an enormous problem for U.S. companies. In the Association of Certified Fraud Examiners’ (ACFE’s) 2008 Report to the Nation on Occupational Fraud & Abuse, survey participants estimated that companies lose 7% of their annual revenues to fraud — up from 5% two years earlier. (ACFE was preparing its 2010 report at press time.)
Simple approaches
Auditors use a variety of techniques to detect fraud, including statistical
analysis, which can identify anomalies that call for further
investigation. Increasingly, companies are using statistical tools
internally to detect signs of fraud as early as possible. In many
cases, a simple computer program or spreadsheet is all you need.
One effective approach is to search for duplicate invoice numbers
or transactions, or even for dollar amounts, which may indicate
that numbers have been rounded. More sophisticated fraud detection
methods include financial ratio analysis, which identifies
trends that may be symptomatic of fraud, and Benford’s Law, a
tool that can reveal whether numbers have been manipulated.
Data that isn’t random
According to Benford’s Law, in sets of random data, numbers beginning with smaller digits occur more frequently.
Numbers beginning with 1, for example, occur about 30% of the time, numbers beginning with 2 occur
about 18% of the time, and so on, down to numbers beginning with 9, which occur less than 5% of the time.
When fraudsters attempt to manipulate numbers in certain financial documents, this pattern becomes
skewed. Indeed, it’s nearly impossible to manipulate data so that it conforms to Benford’s Law.
Applying Benford’s Law
To use Benford’s Law as a fraud detection tool, you can run a spreadsheet program designed to examine
the distribution of first digits in random sets of numbers and calculate the frequency with which the digits
1 through 9 occur. The spreadsheet can be converted into a chart that highlights any significant deviations
from the patterns the rule predicts. A chart that shows, for example, that 20% of the numbers in a data set
begin with 9 and only 10% begin with 1 may indicate fraud.
However, Benford’s Law and other statistical tools don’t prove fraud. Often, innocent explanations lie behind suspicious patterns. That’s why it’s essential to enlist the
Consult a Financial Adviser for more information.
