The Better Way of Applying Benford’s Law for Fraud Detection

Applying Benford’s Law on large collections of data is an effective way of detecting fraud. In this article, we?ll introduce you to Benford’s Law, talk about how auditors are employing it in fraud detection, and introduce you to a more effective way of integrating it into an IT solution.

Benford’s Law in a nutshell

Benford’s Law states that certain data sets – including certain accounting numbers – exhibit a non-uniform distribution of first digits. Simply put, if you gather all the first digits (e.g. 8 is the first digit of ?814 and 1 is the first digit of ?1768) of all the numbers that make up one of these data sets, the smallest digits will appear more frequently than the larger ones.

That is, according to Benford’s Law,

1 should comprise roughly 30.1% of all first digits;
2 should be 17.6%;
3 should be 12.5%;
4 should be 9.7%, and so on.

Notice that the 1s (ones) occur far more frequently than the rest. Those who are not familiar with Benford’s Law tend to assume that all digits should be distributed uniformly. So when fraudulent individuals tinker with accounting data, they may end up putting in more 9s or 8s than there actually should be.

Once an accounting data set is found to show a large deviation from this distribution, then auditors move in to make a closer inspection.

Benford’s Law spreadsheets and templates

Because Benford’s Law has been proven to be effective in discovering unnaturally-behaving data sets (such as those manipulated by fraudsters), many auditors have created simple software solutions that apply this law. Most of these solutions, owing to the fact that a large majority of accounting departments use spreadsheets, come in the form of spreadsheet templates.

You can easily find free downloadable spreadsheet templates that apply Benford’s Law as well as simple How-To articles that can help you to implement the law on your own existing spreadsheets. Just Google “Benford’s law template” or “Benford’s law spreadsheet”.

I suggest you try out some of them yourself to get a feel on how they work.

The problem with Benford’s Law when used on spreadsheets

There’s actually another reason why I wanted you to try those spreadsheet templates and How-To’s yourself. I wanted you to see how susceptible these solutions are to trivial errors. Whenever you work on these spreadsheet templates – or your own spreadsheets for that matter – when implementing Benford’s Law, you can commit mistakes when copy-pasting values, specifying ranges, entering formulas, and so on.

Furthermore, some of the data might be located in different spreadsheets, which can likewise by found in different departments and have to be emailed for consolidation. The departments who own this data will have to extract the needed data from their own spreadsheets, transfer them to another spreadsheet, and send them to the person in-charge of consolidation.

These activities can introduce errors as well. That’s why we think that, while Benford’s Law can be an effective tool for detecting fraud, spreadsheet-based working environments can taint the entire fraud detection process.

There?s actually a better IT solution where you can use Benford’s Law.

Why a server-based solution works better

In order to apply Benford’s Law more effectively, you need to use it in an environment that implements better controls than what spreadsheets can offer. What we propose is a server-based system.

In a server-based system, your data is placed in a secure database. People who want to input data or access existing data will have to go through access controls such as login procedures. These systems also have features that log access history so that you can trace who accessed which and when.

If Benford’s Law is integrated into such a system, there would be no need for any error-prone copy-pasting activities because all the data is stored in one place. Thus, fraud detection initiatives can be much faster and more reliable.

You can get more information on this site regarding the disadvantages of spreadsheets. We can also tell you more about the advantages of server application solutions.

Check our similar posts

Saving Energy Step 2 ? More Practical Ideas

In my previous blog, we wrote about implementing a management system. This boils down to sharing a common vision up and down and across the organisation, measuring progress, and pinning accountability on individuals. This time, we would like to talk about simple things that organisations can do to shrink their carbon footprints. But first let’s talk about the things that hold us back.

When we take on new clients we sometimes find that they are baffled by what I call energy industry-speak. We blame this partly on government. We understand they need clear definitions in their regulations. It’s just a pity they don’t use ordinary English when they put their ideas across in public forums.

Consultants sometimes seem to take advantage of these terms, when they roll words like audit, assessment, diagnostic, examination, survey and review across their pages. Dare we suggest they are trying to confuse with jargon? We created ecoVaro to demystify the energy business. Our goal is to convert data into formats business people understand. As promised, here are five easy things your staff could do without even going off on training.

  1. Right-size equipment? outsource peak production in busy periods, rather than wasting energy on a system that is running at half capacity mostly.
  2. Re-Install equipment to OEM specifications ? individual pieces of equipment need accurate interfacing with larger systems, to ensure that every ounce of energy delivers on its promise.
  3. Maintain to specification ? make sure machine tools are within limits, and that equipment is well-lubricated, optimally adjusted and running smoothly.
  4. Adjust HVAC to demand ? Engineers design heating and ventilation systems to cope with maximum requirements, and not all are set up to adapt to quieter periods. Try turning off a few units and see what happens.
  5. Recover Heat ? Heat around machines is energy wasted. Find creative ways to recycle it. If you can’t, then insulate the equipment from the rest of the work space, and spend less money cooling the place down.

Well that wasn’t rocket science, was it? There are many more things that we can do to streamline energy use, and coax our profits up. This is as true in a factory as in the office and at home. The power we use is largely non-renewable. Small savings help, and banknotes pile up quickly.

Can you do away with the Project Initiation Meeting?

Project initiation meetings are often skipped to fast-track projects. Once a sponsor is found, organisations go straight to project planning and execution. But based on our own experience, holding a project initiation meeting can actually eliminate many issues that may crop up in the future and hence may speed things up instead in the long run.

It is in the project initiation meeting where your project objectives and scope are clarified and all stakeholders are brought to the same page. Project sponsors and stakeholders will have to know in a nutshell what is needed from them, what the possible risks are, what different resources are required, and so on. So that, when it’s time to proceed to the next phase, everyone is already in-sync.

So what are taken up in such a meeting? Perhaps an actual example can help. Sometime in the past, we set out to work on an eCommerce website project. After conducting the project initiation meeting, these were some of the things we were able to accomplish:

  • Identified deliverables e.g. site design, interface to payment system, etc.
  • Come up with the project phases
  • Agreed what should be in and out of scope
  • Defined the acceptance test criteria
  • Identified possible risks
  • Identified the possible training and documentation work needed
  • Established whether any analysis was required, e.g. as with regards to payment interfaces
  • Formulated disaster recovery plans
  • Defined roles and responsibilities
  • Drafted timelines and due dates

Aren’t these covered in project planning? If the project is a big one, the answer is no. In a large project, project planning is a much more exhaustive activity. In a project initiation meeting, only the basic framework is defined.

Some questions may still remain unanswered after a project initiation meeting, but at least you already know what answers you need to look for. In the example we gave earlier, we left the meeting knowing that we needed:

  • a list of all necessary hardware to estimate the costs
  • to identify possible dependencies we might have with third parties
  • to identify what software had to be bought and what skills we needed to hire

When it was time to proceed to project planning, everyone involved already knew what direction we were taking. In effect, by not skipping the project initiation meeting, we were able to avoid many potential obstacles.

FUJIFILM Cracks the Energy Code

FUJIFILM was in trouble at its Dayton, Tennessee plant in 2008 where it produced a variety of speciality chemicals for industrial use. Compressed-air breakdowns were having knock-on effects. The company decided it was time to measure what was happening and solve the problem. It hoped to improve reliability, cut down maintenance, and eliminate relying on nitrogen for back-up (unless the materials were flammable).

The company tentatively identified three root causes. These were (a) insufficient system knowledge within maintenance, (b) weak spare part supply chain, and (c) generic imbalances including overstated demand and underutilised supply. The maintenance manager asked the U.S. Department of Energy to assist with a comprehensive audit of the compressed air system.

The team began on the demand side by attaching flow meters to each of several compressors for five days. They noticed that – while the equipment was set to deliver 120 psi actual delivery was 75% of this or less. They found that demand was cyclical depending on the production phase. Most importantly, they determined that only one compressor would be necessary once they eliminated the leaks in the system and upgraded short-term storage capacity.

The project team formulated a three-stage plan. Their first step would be to increase storage capacity to accommodate peak demand; the second would be to fix the leaks, and the third to source a larger compressor and associated gear from a sister plant the parent company was phasing out. Viewed overall, this provided four specific goals.

  • Improve reliability with greater redundancy
  • Bring down system maintenance costs
  • Cut down plant energy consumption
  • Eliminate nitrogen as a fall-back resource

They reconfigured the equipment in terms of lowest practical maintenance cost, and moved the redundant compressors to stations where they could easily couple as back-ups. Then they implemented an online leak detection and repair program. Finally, they set the replacement compressor to 98 psi, after they determined this delivered the optimum balance between productivity and operating cost.

Since 2008, FUJIFILM has saved 1.2 million kilowatt hours of energy while virtually eliminating compressor system breakdowns. The single compressor is operating at relatively low pressure with attendant benefits to other equipment. It is worth noting that the key to the door was measuring compressed air flow at various points in the system.

ecoVaro specialises in analysing data like this on any energy type.?

Contact Us

  • (+353)(0)1-443-3807 – IRL
  • (+44)(0)20-7193-9751 – UK

Ready to work with Denizon?