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

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.

Convert visits to sales to repeat purchases

The moment you start seeing more than a thousand unique visitors in just one day, we won’t be surprised if you’d be grinning ear to ear the entire week. But when weeks turn into months, you’ll then remember why you started off on this venture in the first place … and it wasn’t about just owning an immensely popular website.

People, like you, who’ve chosen to invest in eCommerce were most likely thinking along the lines of great ROI, revenues, and profits. Now that you have thousands of visitors, how would you like to have, say for a start, 1% of them buying the products on your site?

You know more about your own product prices; you do the math. But what might really interest you is that a slight change in that 1% conversion rate can already spell a big difference in your profits. Now imagine bringing that 1% up to at least 10%. That’s possible, but not if you simply rely on guesswork.

We rely on tests applicable to complex multi-variable systems, just like today’s typical eCommerce websites, in determining which combination of copy text, landing page images, form layouts, and background colours generate higher conversion rates.

Here’s how we’ll convert your visitors into buyers:

  • We’ll conduct A/B or even multivariate tests on your eCommerce website, thus eliminating guesswork in determining how to increase those conversion rates.
  • We’ll perform on-site and off-site web analytics to gain a deeper understanding of web usage to aid in our optimisation operations.
  • Through our expertise in copywriting, graphics and web designing, UI designing, and website QA, we can enhance and fine tune your site to give each visitor a uniquely engaging browsing experience.
  • We can also integrate CRM (Customer Relationship Management) systems so that you’ll have the technical advantage to turn one-time buyers into repeat customers.
Technology and process improvement

Tightening organisational flow to improve productivity and minimise costs is a growing concern for many businesses post the Global Financial Crisis. Businesses can no longer afford to waste time and personnel on inefficient processes. Organisations using either Six Sigma or Lean techniques better manage their existing resources to maximise product out-put. Both of these techniques involve considerable evaluation of current processes.

What is Six Sigma?

Six Sigma is an organisational management strategy that evaluates processes for variation. In the Six Sigma model, variation equates waste. Eliminating variation for customer fulfilment allows a business to better serve the end-user. In this thought model, the only way to streamline processes is to use statistical data. Each part of a process must be carefully recorded and analysed for variation and potential improvements. The heart of the strategy embodied by Six Sigma is mathematical. Every process is subject to mathematical analysis and this allows for the most effective problem solving.

What is a Lean Model?

Lean businesses do not rely on mathematical models for improvement. Instead, the focus is on reducing steps in the customer delivery cycle, which do not add value to the final deliverable. For example, maintaining excess inventory or dealing with shortages would both be examples of waste behaviour. Businesses that operate using Lean strategies have strong cash flow cycles. One of the best and most famous examples of Lean in action is the Toyota Production System (TPS). In this system, not only is inventory minimised, but physical movement for employees also remains sharply controlled. Employees are able to reach everything needed to accomplish their tasks, without leaving the immediate area. By reducing the amount of movement needed to work, companies also remove wasted employee time.

Industry Applications for Lean and Six Sigma

Lean businesses reduce the number of steps between order and delivery. The less inventory on hand, the less it costs a business to operate. In industries where it is possible to create to order, Lean thinking offers significant advantages. Lean is best utilised in mature businesses. New companies, operating on a youthful model, may not be able to identify wasteful processes. Six Sigma has shown its value across industries through several evolution’s. Its focus on quality of process makes it a good choice for even brand new businesses. The best use is the combination of the two strategies. With the Lean focus on speed and the Six Sigma focus on quality combined, the two organisational processes create synergy. By itself, Lean does not help create stable, repeating success. Six Sigma does not help increase speed and reduce non value-added behaviours. Combined, these two strategies offer incredible value to every business in cost savings.

Using Technology to Implement Lean Six Sigma

Automation processes represent an opportunity for businesses to implement a combination of both Lean and Six Sigma strategies. Any technology that replaces the need for direct human oversight reduces costs and increases productivity. A few examples of potentially cost saving IT solutions include document scanning, the Internet, and automated workflow systems.

  • Document Scanning – Reducing dependency on paper copies follows both Lean and Six Sigma strategies. It is a Lean addition in that it allows employees to access documents instantly from any physical location. It is Six Sigma compliant in that it allows a reduction on process variation, since there is no bottleneck on the flow of information.
  • The Internet – The automation potential offered by the Internet is limitless. Now, businesses can enter orders, manage logistics and perform customer service activities from anywhere, through a hosted portal. With instant access to corporate processes from anywhere, businesses can manage workflow globally, allowing them to realise cost savings from decentralisation.
  • Automated Work Systems – One of the identified areas of waste in any business is processing time. The faster orders are processed and delivered, the greater the profits for the company and the less the expense per order. When orders sit waiting for attention, they represent lost productivity and waste. Automated work systems monitor workflow and alert users when an item sits longer than normal. These systems can also reroute work to an available employee when the original worker is tied up.

Each of these IT solutions provides a method for businesses to either reduce the number of steps in a process or improve the quality of the process for improved customer service.

Identifying Areas for Lean Six Sigma Implementation

Knowing that improved processes result in improved profits, identifying areas for improvement is the next step. There are several techniques for creating tighter processes with less waste and higher quality. Value Stream Mapping helps business owners and managers identify areas of waste by providing a visual representation of the total process stream. Instead of improving single areas for minimal increases in productivity, VSM shows the entire business structure and flow, allowing management to target each area of slow down for maximum improvement in all areas.

Seeing the areas of waste helps management better determine how processes should work to best obtain the desired outcomes. Adding in automated processes helps with improved process management, when put in place with a complete understanding of current systems and their weaknesses. Start with mapping and gain a bird’s-eye view of the situation, in order to make the changes needed for improvement.

Contact Us

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

Ready to work with Denizon?

Contact Us Today