// Fun Experiment: Benford’s Law and Physical Quantity Estimation in SYNCHRO 4D Pro

Fun Experiment: Benford’s Law and Physical Quantity Estimation in SYNCHRO 4D Pro

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In this fun experiment, we tried to check if the physical quantity estimation for all the tasks follows Benford’s law or not. Surprisingly (not so surprising) we found that the result has some resemblance with Benford’s law. Through this exercise, we get ourselves familiar with the potential of user fields and user field formulas in SYNCHRO 4D Pro.

What is Benford’s Law?

It has been observed that for a large set of numerical data, the frequency of the first digit of the numbers shows a particular distribution. It has been found number 1 occurs the most number of times. This accounts for 30.1% of all the values. The below table and the plot shows the distribution of other numbers.

A good video to understand Benford’s Law

Preparing Data in SYNCHRO 4D Pro

We start with our sample training example file that can be found inside Synchro PRO Training.sp FilesSYNCHRO Training Building Completed.sp.
The tutorial files are available here.

User Field Formula Used

1. Volume:
`SUM(3D.CALCULATE_VOLUME)`
`LEFT(STRING(UFV("Volume")),1)`
3. Leading Digit (For modifying the values with ‘0’) :
`[UFV("Volume")<1]MID(STRING( UFV("Volume")), 3,1)`

Result & Discussions

We can see the digit 1 as the most frequent digit and 9 being the least. This has some similarities with Benford’s Law. The total number of values considered was 72. If the number increases and may be for a larger project, we might find a closer resemblance with Benford’s Law.

Let us know the findings of your SYNCHRO Project.

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Learn more about User Fields and User Field formula from OnDemand Training | Automation in SYNCHRO 4D

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