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Benford's law for fraud detection

Posted on 11/05/2020 11:17:39 AM PST by Truthsearcher

I don't know how many of you have heard of Benford's test. It's basically a very easy and simple way to spot fake numbers.

It basically says in an random set of numbers in a base 10 system, the likelihood of each number appearing is

1 30.1%

2 17.6%

3 12.5%

4 9.7%

5 7.9%

6 6.7%

7 5.8%

8 5.1%

9 4.6%

When numbers a totally out of synch with those numbers, you know you're not dealing with completely random numbers and dealing with fake made up numbers.

Now here is graph for the number of votes in each precinct for both Trump and Biden in each precinct in Detroit, Milwaukee and Philadelphia

Notice the top 3 Trump numbers are all in line with the Benford curve, whereas the Biden numbers are ridiculously out of line with Benford's law.

This is how even a cursory look at the data alert you to human made up numbers.


TOPICS: Miscellaneous
KEYWORDS: benfordslaw
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To: DoodleBob

My statistics is rusty, but wouldn’t the basic chi-square test more or less prove that these Biden votes during that “downtime” at 3AM are fraudulent?


21 posted on 11/05/2020 11:38:39 AM PST by PallMal
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To: freeandfreezing
Yeah, I saw the 4chan thread. I kinda like this one in meme form.


22 posted on 11/05/2020 11:39:29 AM PST by Pollard (You can’t be for “defunding the police” and against “vigilantism” at the same time.)
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To: freeandfreezing

Ok...I’m really not trying to be dense...you’re saying if there are 100 precincts, the bar under “1” represents the vote tally from all precincts where the first digit in that precinct number is “1”, e.g. 1, 10-19, 100?


23 posted on 11/05/2020 11:41:41 AM PST by DoodleBob (Gravity's waiting period is about 9.8 m/s^2)
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To: LilFarmer
I personally think this chart presents the fraud in a manner more easily digestible - I'd like to see this chart for all States:


24 posted on 11/05/2020 11:43:22 AM PST by DoodleBob (Gravity's waiting period is about 9.8 m/s^2)
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To: DoodleBob

If there are 100 precincts, there would be 100 total Biden vote tallies, if you take those 100 numbers and look at each numbers’ leading digit, you would expect 30 of them to begin with the number 1, and about 18 to start with the number 2, and so on and so forth.

When people are making up numbers though, they rarely follow this pattern. That’s often how fraud detectors can quickly look at a set of records and immediately suspect fake made up numbers instead of real life data.


25 posted on 11/05/2020 11:49:29 AM PST by Truthsearcher
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To: Truthsearcher

What is “naturally occuring” about vote counts? They are generated by man, using purely deterministic processes...


26 posted on 11/05/2020 11:51:53 AM PST by Boogieman
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To: Truthsearcher

The Wikipedia article provides a version of Benford’s Law for the third digit, at which the distribution of the ten possible values is almost completely random (it ranges from about 10.2% for “1” to about 9.8% for “9”). I kind of suspect that if people were making up numbers, those deviations might be even more dramatic at the third digit - but that’s just a gut call. The evidence with the leading digit is pretty convincing as is.


27 posted on 11/05/2020 11:52:17 AM PST by Stosh
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To: PallMal
The Chi-square test would tell you if the distributions were significantly different from the expected distribution. The result wouldn't be an ipso facto indicator of fraud...but it would be a compelling piece of info.

Benford's law in this case posits that randomness isn't always a good assumption. I heard it originated, in part, because someone noticed that there was more dirt/finger oils on his logarithm tables corresponding to "1". It can be used in forensics to tease our anamolies.

28 posted on 11/05/2020 11:54:32 AM PST by DoodleBob (Gravity's waiting period is about 9.8 m/s^2)
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To: Truthsearcher

I’ve not heard of Benford’s law, but it is the type of analysis I was soliciting data for with post https://www.freerepublic.com/focus/f-chat/3902155/posts


29 posted on 11/05/2020 11:54:33 AM PST by posterchild
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To: Truthsearcher
Those of us who grew up using slide rules might recognize this distribution of values as being logarithmic. I tabulated below where
f = 100( log(n+1)-log(n) ).
n             f         Benford

1	30.10299957	30.1
2	17.60912591	17.6
3	12.49387366	12.5
4	9.691001301	9.7
5	7.918124605	7.9
6	6.694678963	6.7
7	5.799194698	5.8
8	5.115252245	5.1
9	4.575749056	4.6
This indicates that the frequency of occurence of digits is proportional to the spacing on a slide rule for results that match that leading digit. I don't think this is a coincidence.
30 posted on 11/05/2020 11:55:37 AM PST by William Tell
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To: Boogieman

The sums of the votes are random (in the sense of these kinds of probabilities) - unless the voters in a precinct get together and agree that “176 of us will vote blue and 123 of us will vote red”.


31 posted on 11/05/2020 11:55:49 AM PST by Stosh
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To: Truthsearcher

Ahhh.. so the x-axis is the first digit in the vote tally, e.g. 1,384 votes, and the y-axis is the aggregate number of votes where the tally starts with that digit, e.g. 1?


32 posted on 11/05/2020 11:57:27 AM PST by DoodleBob (Gravity's waiting period is about 9.8 m/s^2)
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To: Stosh

“The sums of the votes are random (in the sense of these kinds of probabilities)”

Well, that’s the thing, you have to qualify the statement. Because they are actually definitely not random at all. You can say they approximate a random distribution, but they are not random.


33 posted on 11/05/2020 11:57:37 AM PST by Boogieman
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To: DoodleBob

Y-axis is the percentage of the total that had that leading digit.


34 posted on 11/05/2020 11:59:12 AM PST by Truthsearcher
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To: Boogieman

Distribution is what we are talking about.


35 posted on 11/05/2020 11:59:38 AM PST by Truthsearcher
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To: Truthsearcher

Obviously, but it’s not a random distribution, that’s my point.


36 posted on 11/05/2020 12:03:14 PM PST by Boogieman
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To: Truthsearcher

Great zero hedge article—worth the read and worth additional analysis state by state:

https://www.zerohedge.com/political/why-does-biden-have-so-many-more-votes-democrat-senators-swing-states


37 posted on 11/05/2020 12:17:24 PM PST by cgbg (We shall fight on beaches, on grounds, the fields, the streets, the hills. Never surrender. WC)
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To: freeandfreezing

Marty used this on the tv show Ozark.


38 posted on 11/05/2020 12:18:03 PM PST by Conservet (Look back to go forward.)
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To: freeandfreezing

Please explain the PHYSICAL meaning of your description of the X axis. I’m an engineer and look at plots all day, but am befuddled by the X axis here. I don’t get the connection between precincts and 1- 9 scale. Probably over-thinking this...

Regardless, Biden’s frequencies are substantially out of whack with the log-normal distributions that are dictated by nature in LEGITIMATE population data. If I presented a plot with Biden’s skew at work, I’d be laughed out of the room and accused of data manipulation.


39 posted on 11/05/2020 12:35:28 PM PST by SelfhatingMillennial
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To: Truthsearcher

bttt


40 posted on 11/05/2020 12:38:28 PM PST by Pajamajan ( Pray for our nation. Thank the Lord for everything you have. Don't wait. Do it today.)
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