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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What Heijunka is & How it Smooths Call Centre Production

The Japanese word Heijunka, pronounced hi-JUNE-kuh means ?levelling? in the sense of balancing workflows. It helps lean organizations shift priorities in the face of fluctuating customer demand. The goal is to have the entire operation working at the same pace throughout, by continuously adjusting the balance between predictability, flexibility, and stability to level out demand.

Henry Ford turned the American motor manufacturing industry upside down by mass-producing his iconic black motor cars on two separate production lines. In this photograph, body shells manufactured upstairs come down a ramp and drop onto a procession of cars almost ready to roll in 1913.

Smoothing Production in the Call Centre Industry

Call Centres work best in small teams, each with a supervisor to take over complex conversations. In the past, these tended to operate in silos with each group in semi-isolation representing a different set of clients. Calls came through to operators the instant the previous ones concluded. By the law of averages, inevitably one had more workload than the rest at a particular point in time as per this example.

Modern telecoms technology makes it possible to switch incoming lines to different call centre teams, provided these are multi-skilled. A central operator controls this manually by observing imbalanced workflows on a visual system called a Heijunka Box. The following example comes from a different industry, and highlights how eight teams share uneven demand for six products.

This departure from building handmade automobiles allowed Henry to move his workforce around to eliminate bottlenecks. For example, if rolls of seat leather arrived late he could send extra hands upstairs to speed up the work there, while simultaneously slowing chassis production. Ford had the further advantage of a virtual monopoly in the affordable car market. He made his cars at the rate that suited him best, with waiting lists extending for months.

A Modern, More Flexible Approach

Forces of open competition and the Six Sigma drive for as-close-to-zero defects dictates a more flexible approach, as embodied in this image published by the Six Sigma organisation. This represents an ideal state. In reality, one force usually has greater influence, for example decreasing stability enforces a more flexible approach.

Years ago, Japanese car manufacturer Toyota moved away from batching in favour of a more customer-centric approach, whereby buyers could customise orders from options held in stock for different variations of the same basic model. The most effective approach lies somewhere between Henry Ford?s inflexibility and Toyota?s openness, subject to the circumstances at the moment.

A Worked Factory Example

The following diagram suggests a practical Heijunka application in a factory producing three colours of identical hats. There are two machines for each option, one or both of which may be running. In the event of a large order for say blue hats, the company has the option of shifting some blue raw material to the red and green lines so to have the entire operation working at a similar rate.

Predictability, Flexibility, and Stability at Call Centre Service

The rate of incoming calls is a moving average characterised by spikes in demand. Since the caller has no knowledge whether high activity advisories are genuine, it is important to service them as quickly as possible. Lean process engineering provides technology to facilitate flexibility. Depending on individual circumstances, each call centre may have its own definition of what constitutes an acceptably stable situation.

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What Energy Management Software did for CDC

Chrome Deposit Corporation ? that’s CDC for short ? reconditions giant rollers used to finish steel and aluminium sheets in Portage, Indiana by applying grinding, texturing and plating methods. While management was initially surprised when the University of Delaware singled their plant out for energy assessment, this took them on a journey to bring energy consumption down despite being in an expansion phase.

Metal finishing and refinishing is an energy-intensive business where machines mainly do the work while workforces as small as 50 individuals tend them. Environmental impacts also need countering within a challenging environment of burgeoning natural gas and electricity prices.

The Consultant’s Recommendations

The University of Delaware was fortunate that Chrome Deposit Corporation had consistently measured its energy consumption since inception in 1986. This enabled it to pinpoint six strategies as having potential for technological and process improvements.

  • Insulate condensate tanks and pipes
  • Analyse flue gas air-fuel ratios
  • Lower compressed air pressures
  • Install stack dampers on boilers
  • Replace belts with pulleys and cogs
  • Fit covers on plant exhaust fans

CDC implemented only four of the six recommendations. This was because the boiler manufacturer did not recommend stack dampers, and the company was unable to afford certain process automation and controls.

Natural Gas Savings

The project team began by analysing stack gases from boilers used to heat chrome tanks and evaporate wastewater. They found the boilers were burning rich and that several joints in gas lines were leaking. Correcting these issues achieved an instant gas saving of 12% despite increased production.

Reduced Water Consumption

The team established that city water was used to cool the rectifiers. It reduced this by an astonishing 85% by implementing a closed-loop system and adding two chillers. This also helped the water company spend less on chemicals, and energy to drive pumps, purifiers and fans.

Summary of Benefits

Electricity consumption reduced by 18% in real terms, and natural gas by 35%. When these two savings are merged they represent an overall 25% energy saving. These benefits were implemented across the company?s six other plants, resulting in benefits CDC management never dreamed of when the University of Delaware approached them.

ecoVaro offers a similar data analytics service that is available online worldwide. We have helped other companies slash their energy bills with similarly exciting results. We?ll be delighted to share ideas that only data analytics can reveal.

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Article 8 of the EU Energy Efficiency Directive ? Orientation

Following in-depth discussion of the UK?s ESOS response, we decided to backtrack to the source, especially since every EU member is facing similar challenges. The core purpose of the directive is to place a pair of obligations on member states. These are

  1. To promote the availability of energy audits among final customers in all sectors, and;
  2. To ensure that enterprises that are not SMEs carry out energy audits at least every four years.

Given the ability for business to look twice at every piece of legislation it considers unproductive, the Brussels legislators took care to define what constitutes an enterprise larger than an SME.

Definition of a Large Undertaking

A large undertaking meets one or both of the following conditions:

  1. It employs 250 or more people
  2. Its annual turnover is more than ?50 million and its balance sheet total exceeds ?43 million

Rules for Energy Audits

If accredited / qualified in-house specialists are unavailable then independent experts should supervise audits. The talent shortage seems common to many EU businesses. In hindsight, the Union could have ramped up slower, especially since the first compliance date of 5 December 2015 does not leave much swing room.

ecoVaro doubts there was a viable alternative, given the urgent imperative to beat back the scourge of carbon that is threatening the viability of our planet. The legislators must have been of a similar mind when laying down the guidelines. Witness for example the requirement that penalties be ?effective, proportionate and dissuasive?.

In order to be compliant, an energy audit must

  1. Be based on twelve months of verifiable data that is
    • over a continuous period beginning no more than 24 months before the beginning of the energy audit, and;
    • identifies energy saving opportunities including paths to their achievement
  2. Analyse the participant’s energy consumption and energy efficiency
  3. Have not been used as the basis for an energy audit in a previous compliance period

Measurement of current status and progress tracing are at the core of energy saving and good governance generally. EcoVaro has a powerhouse of software tools available on the cloud to help project teams save time and money.

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