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.

The Future of Cloud Backup and Recovery

We came across a post on Docurated that pulled together thirty-seven suggestions for the top cloud storage mistakes user companies make. Given that cloud storage seems to be the best backup solution for now at least, we decided to turn these ideas around to sense the direction cloud backup and recovery needs to take, if it is still to be relevant in say ten years? time.

Has Cloud Storage Largely Saturated the West?
It probably has. Outside of major corporates who make their own arrangements ? and SME?s that use free services by email providers ? the middle band of companies in Europe and America have found their service providers, although they may have never tested the recovery process, to see if it works.

The new gold rush in the cloud backup and recovery business is, or should be emerging markets in Asia, Africa, South America, and the Middle East. There, connectivity is brittler than over here. To be relevant in these fragile, more populous areas our cloud backup and recovery industry need to be more agile and nimble.

? It must provide a simpler service emerging commerce can afford, refresh its user interfaces in third world languages, have more accessible help, and be patient to explain how cloud storage works to newbies. In other words, it must source its call centre operators in the areas it serves.

? It must adapt to local connectivity standards, and stop expecting someone with ADSL broadband to keep up with cloud server networks running at up to 1GBPS compared to their 10MBPS at best. For user sourcing and retention purposes, these new cloud backup and recovery services must be the ones who adapt.

? It must facilitate disaster recovery simulations among its clients in calmer moments when things are going well. Are they backing up the right files, are they updating these, and are their brittle ADSL networks able to cope with their cloud service providers? upload and download speeds?

? It must develop lean and agile systems slim enough to accommodate a micro client starting out, but sufficiently elastic to transfer them seamlessly to big data performance. The Asian, African, South American, and Middle Eastern regions are volume driven, and individual economies of scale are still rare.

? It must not expect its users to know automatically what they need, and be honest to admit that Western solutions may be wrong-sized. Conversion funnels in the new gold rush are bound to be longer. Engagements there depend on trust, not elevator sales letters. Our competition in these countries already works this way.

? It must be honest and admit cloud storage is only part of the solution. To recruit and retain users it must step back to 1983, when Compuserve offered its customers 128k of disc space, and spent an amount of effort explaining how to filter what to put there.

Cloud Storage of Data is Only One Part of the Solution
Governance reports and stock certificates burn just as easily as do servers in a fire. We must not transfer bad habits to exciting new markets. We close this article with the thoughts of John Howie, COO of Cloud Security Alliance, as reported in the Docurated post we mentioned, and these apply across the globe, we believe.
There is no single most important thing to carry forward into the future of cloud backup and recovery. We must be mindful when moving data that this can be fragile too. We must also create layers of backup the way insurance companies re-insure, that make any one cloud backup and recovery business redundant if it happens.
We hold the trust of our customers in our hands but trust is delicate too. We must cease trying to make a pile of money quickly, and become more interested in ensuring that data transferred back and forth is synchronised. The cloud backup and recovery industry needs only one notorious mistake, to become redundant itself in the ten years we mentioned.

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Six Sigma

Six Sigma has received much attention worldwide as a management strategy that is said to have brought about huge improvements and financial gains for such big-name companies as Allied Signal, General Electric (GE) and Motorola.

If you want to give your business the chance to attain the same resounding success, Six Sigma could be the method that will steer you towards that direction.

What is Six Sigma?

So what really is it? Six Sigma is a business management tool that was developed using the most effective quality improvement techniques from the last six decades. Basing its approach on discipline, verifiable data, and statistical calculations, Six Sigma aims to identify the causes of defects and eliminate them, thereby resulting in near-perfect products that meet or exceed customer’s satisfaction.

The core concept behind the Six Sigma method is that if an organisation can quantify the number of “defects” there are in a particular process, improvement activities can be implemented to eliminate them, and get as close to a “zero defects” scenario as possible. Defect here is defined as any process output that fails to meet customer specifications.

Six Sigma is also unique from other programs in that it calls for the creation of a special infrastructure of people within the organisation (“Champions“, “Black Belts“, “Green Belts“) who are to be expert in the methods.

Six Sigma Methodologies

When implementing Six Sigma projects, two methodologies are often employed. Although each method uses five phases each, these two are distinguished from each other using 5-letter acronyms and their specific uses.

DMAIC ? is the project methodology used to improve processes and maximise productivity of current business practices. The 5 letters stand for:

  • D ? Define (the problem)
  • M ? Measure (the main factors of the existing process)
  • A ??Analyse?(the information gathered to deter mine the causes of defects)
  • I ? Improve (the current process based on the analysis)
  • C ? Control (all succeeding processes so as to minimise additional defects)

DMADV – is the method most suitable if your business is looking to create new products or designs. The acronym stands for:

  • D ? Define (product goals as the consumer market demands)
  • M ? Measure (and identify product capabilities and risks)
  • A ??Analyse?(to create the best possible design)
  • D ? Design (the product or process details)
  • V ? Verify (the design)

How does Six Sigma differ from other quality programs?

If you think that Six Sigma is just another one of those business strategies that produce more hype than actual results, think again. Six Sigma uses three key concepts that sets it apart from other business management methods.

  • It is strictly a data-driven approach, where assumptions and guesswork do not figure in the decision making.
  • It focuses on achieving quantifiable financial results ? the bottom line ($) ? as much as giving emphasis on customer satisfaction.
  • It requires strong management leadership, while at the same time creating a role for every individual in the organisation.

Is Six Sigma right for your business?

While many other organisations such as Sony, Nokia, American Express, Xerox, Boeing, Kodak, Sun Micro-systems and many other blue chip companies have followed suit in adopting Six Sigma, the truth is, any company — whether you have a large manufacturing corporation, or a small business specialising in customer service.

Certainly, there is a lot more to Six Sigma than what you can probably absorb in one sitting or reading.

With our wide range of business management consultancy services, we can help you understand the Six Sigma method in the context of your business. We can also help you establish your improvement goals, set up your program, and train your own team of “champions” who can lead in implementing your Six Sigma goals.

Find out more about our Quality Assurance services in the following pages:

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