Post a link that asserts that Benford's law is influenced by political parties.
You're aware that you can use any base numeral system correct?
On page 3 and 4 of the linked document, replace the number "10" in the base (and summation coefficient) with with any base you want.
en.wikipedia.org
See where it talks about "degrees of freedom" ...
Yes, I know you can pick whichever base you want to ... a well known statistical trick to deceive people ... but there's only ONE correct base we should use, or you will absolutely drive up your chi^2 values ... P(d) = log
b ( 1 + 1/d) ... you're saying the value of b is immaterial? ... shame on you ...
Yes, I read the instructional worksheet you posted in your OP ... grossly simplified for students to grasp the basic idea ... I've never said you were wrong for overlaying the election data over the top of this grossly simplified demonstration ... your mistake is stopping there and screaming "Ah ha, mine eye hath seen it" ...
Foolishness expecting Republican dominated precincts would follow Benford's law in the first digit ... in rural North Carolina ... for an 80% Republican precinct, 300 votes cast, you expect 150 to go to The Donald? ... silly, we should expect 240 votes for The Donald ... that first digit is changed ... not because of fraud, but because of unequal distribution of voter's political affiliation ... thus our second degree of freedom ... further, this is what will crash your chi^2 values to normalcy ...
Sorry, you can't pick and choose whatever numbers you want ... I haven't even touched upon checksums yet ... jerry The Donald's numbers and your vote totals won't add up ... duh ...
What? Bedford's law works for all base numeral systems.
en.wikipedia.org
The graph to the right shows Benford's law for
base 10, one of infinitely many cases of a generalized law regarding numbers expressed in arbitrary (integer) bases, which
rules out the possibility that the phenomenon might be an artifact of the base 10 number system. Further generalizations were published by Hill in 1995
[3] including analogous statements for both the
nth leading digit as well as the joint distribution of the leading
n digits, the latter of which leads to a corollary wherein the significant digits are shown to be a
statistically dependent quantity.
[4]).
You're making shit up at this point for a political purpose.
And degree of freedom is simply equal to (n-1), where n = number of data entries.
Estimates of
statistical parameters can be based upon different amounts of information or data. The number of independent pieces of information that go into the estimate of a parameter are called the degrees of freedom. In general, the degrees of freedom of an estimate of a parameter are equal to the number of independent
scores that go into the estimate minus the number of parameters used as intermediate steps in the estimation of the parameter itsel
f (most of the time the sample variance has N − 1 degrees of freedom, since it is computed from
N random scores minus the only 1 parameter estimated as intermediate step, which is the sample mean).
[2]
Degree of freedom is not a political/philosophical concept, it's a well defined integer.
en.wikipedia.org
The laws of mathematics are not subject to political bias.
---------------------------------
Benford's law only detects if data is fabricated. It cannot tell you:
Who fabricated it.
How much of an impact the fabrication had.
Who the fabrication was supposed to favor.
...that if the data the conforms to the Benford curve, that is indeed genuine (it cannot be used to disprove fraud).
If North Carolina's 2020 election were 100% fair and honest, and passed the Benford test and then a random person came by and added and subtracted a handful of votes from each tally, it would then show up as fabricated (fail the Benford test), without affecting the actual outcome of the election.
The only thing the Benford test CAN do is:
Assert, with legal force, that fraud has occurred (for very high chi).
Assert, with suspicion, that fraud may have occurred (for medium chi), and further investigation is required.
And I know you're going to hate this, but the results came back normal for all other candidates in North Carolina in the Democrat districts (low chi), and came back normal in the Republican counties as well (for all candidates, including the President).
The high chi abnormality was the Presidential vote.
To make things worse, Biden's vote came with medium chi (meaning it's plausible, since it was on the lower end). This is worse, because Trump's rally came back with very high chi.
So what did the data show, that ONLY Trump's tally, in Democrat Counties, came back as fabricated (with legal force based on the very high chi). We also note that the n values in the 4th digit were 30-40% lower, meaning Trump had only 2/3 as many precincts with 4digit counts as Biden...that's very weird, and that's why the 1st and 2nd digits Benford distribution had VERY HIGH CHI.
Although the Benford test cannot determine which party did the fraud nor who the fraud was intended to benefit...we can
(OPINION) assume it was done by Democrats to reduce Trump's count, especially since the n value on the 4th digit was 30-40% lower for Trump than Biden.
The part that I wrote above in BLUE TEXT is the only subjective thing that I've written, that would have to be decided by a jury/judge, since there's no abstract mathematical approach to proving it.