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.

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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.

How Mid-South Metallurgical cut Energy Use by 22%

Mid-South in Murfreesboro, Tennessee operates a high-energy plant providing precision heat treatments for high-speed tools – and also metal annealing and straightening services. This was a great business to be in before the energy crisis struck. That was about the same time the 2009 recession arrived. In no time at all the market was down 30%.

Investors had a pile of capital sunk into Mid-South?s three facilities spread across 21,000 square feet (2,000 square meters) of enclosed space. Within them, a number of twenty-five horsepower compressors plus a variety of electric, vacuum and atmospheric furnaces pumped out heat 27/7, 52 weeks a year. After the company called in the U.S. Department of Energy for assistance, several possibilities presented.

Insulate the Barium Chloride Salt Baths

The barium chloride salt baths used in the heat treatment process and operating at 1600?F (870?C) were a natural choice, since they could not be cooled below 1200?F (650?C) when out of use without hardening the barium chloride and clogging up the system. The amount of energy taken to prevent this came down considerably after they covered and insulated them. The recurring annual electricity saving was $53,000.

Manage Electrical Demand & Power

The utility delivers 480 volts of power to the three plants that between them consume between 825- and 875-kilowatt hours depending on the season. Prior to the energy crisis Mid-South Metallurgical regarded this level of consumption as a given. Following on the Department of Energy survey the company replaced the laminar flow burner tips with cyclonic burner ones, and implemented a number of other modifications to enhance thermal efficiency further. The overall natural gas reduction was 20%.

Implement Large Scale Site Lighting Upgrade

The 24/7 nature of the business makes lighting costs a significant factor. Prior to the energy upgrade this came from 44 older-type 400-watt metal halide fixtures. By replacing these with 88 x 8-foot (2.5 meter) fluorescent fittings Mid-South lowered maintenance and operating costs by 52%

The Mid-South Metallurgical Trophy Cabinet

These three improvements cut energy use by 22%, reduced peak electrical demand by 21% and brought total energy costs down 18%. Mid-South continues to monitor energy consumption at each strategic point, as it continues to seek out even greater energy efficiency in conjunction with its people.

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Could Kanban Be?Best for Knowledge Workers?

Knowledge Workers include academics, accountants, architects, doctors, engineers, lawyers, software engineers, scientists and anybody else whose job it is to think for a living. They are usually independent-minded people who do not appreciate project managers dishing out detailed orders. Kanban project management resolves this by letting them choose the next task themselves.

The word ?Kanban? comes from a Japanese word meaning ?billboard? or ?signboard?. Before going into more detail how this works let’s first examine how Japanese beliefs of collaboration, communication, courage, focus on value, respect for people and a holistic approach to change fit into the picture.

The Four Spokes Leading to the Kanban Hub

  1. Visualise the Workflow ?You cannot improve what you cannot see. The first step involves team members reducing a project to individual stages and posting these on a noticeboard.
  2. Create Batches ? These stages are further reduced to individual tasks or batches that are achievable within a working day or shift. More is achievable when we do not have to pick up where we left off the previous day.
  3. Choose a Leader the Team Respects – Without leadership, a group of people produces chaotic results. To replace this with significant value they need a leader, and especially a leader they can willingly follow.
  4. Learn and Improve Constantly ? Kaizen or continuous improvement underpins the Japanese business model, and respects that achievement is a step along the road, and not fulfilment.

The Kanban Method in Practice

Every Kanban project begins with an existing process the participants accept will benefit from continuous change. These adjustments should be incremental, not radical step-changes to avoid disrupting the stakeholders and the process. The focus is on where the greatest benefits are possible.

Anybody in the team is free to pull any batch from the queue and work on it in the spirit of collaboration and cooperation. That they do so, should not make any waves in a culture of respect for people and a holistic approach to working together. All it needs is the courage to step out of line and dream what is possible.

The Kanban Project Method ? Conclusions and Thoughts

Every engine needs some sort of fuel to make it go. The Kanban project management method needs collaboration, communication, courage, focus on value, respect for people and a holistic approach to work. This runs counter to traditional western hierarchies and probably limits its usefulness in the West.

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  • (+44)(0)20-7193-9751 – UK

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