Everyone please remember that I am just sharing this, I DID NOT WRITE IT, I just found it interesting and compelling. If you would like to discuss it with its author he is on the forums linked at the bottom.
Where we are - it appears we have statistical proof of vote flipping in the Primary. Much of the research focuses on South Carolina, but we have extremely suspicious data on most other states as well, though we need to be careful since some states are primaries and others are caucuses, which need to be kept separate, even if both end up being fraudulent.
The basic summary:
1) Romney is always the only benefactor.
2) There is evidence of vote flipping going back to the 2008 primary.
3) The algorithm(s) being used are rather crude, often basic 1:1 flipping.
4) Votes are often, but not always, siphoned from a single candidate. This candidate is often Ron Paul, but has also been Gingrich, Santorum, and even Huckabee in 2008.
5) Romney benefits as precincts increase in size, and this increase is algorithmically 'clean' with little or no 'white noise' common to non-altered candidates. For example, we might see a steady 10% rise in Romney's votes from precincts sized 50% to 80%, at which point it increases to a steady 15% (far after any differences in size should matter).
6) Demographics are not at play, though this is the 'debunk' most often brought up by people new to the thread.
A candidate's cumulative score should gradually converge with reducing volatility towards his final result. This is an absolute mathematical law. Romney's score goes there in straight slanted line with no volatility. This is simply entirely impossible in an un-rigged election.
As you are versed into stats, here is what I would consider a mathematical proof of vote rigging. I apologize to our friends who will get a headache out of the analysis.
VISUAL
Consider ballots as a random variables. Look how fast small precincts become a powerful predictor of Romney's score: a standard deviation of 0.2% as soon as the second decile, 0,1% in the 3rd!
And then? The mathematically impossible happens:
Romney's score jumps by 1%,
10 times the previous standard deviation,
every decile
FOR AN AVERAGE PRECINCT VOTE SIZE UP ONLY A COUPLE OF DOZENS OF VOTES
Are demographics of 50-vote precincts different from 70-vote precincts? No way.
The impossibly large systematic linear deviation is the mathematical smoking gun.
Look for the telltale sign: Romney's share suddenly climbs in a straight line. Paul sole provider of votes in NV, apparently.
VISUAL
See how undoctored counties exhibit flat lines fast, even with low population?
The following argument is mathematically stronger than the previous ones by several orders of magnitude.
Counting votes in a ballot is like taking marbles fron an urn until you've got them all out. Take an urn with 10 marbles, 5 reds 5 blues. You draw the 1st: probability if it being red? 50% Let' say it is red. Pick the second. Probability of being red? 4 reds left in there, so you know it is now 4 chances out of 9.
Now put a 10,000 marbles in there, 1/2 reds 1/2 blues. Pick one. Now make a chart of the cumulative % of the drawn balls that are red. Your first data point on the chart will be 0% or 100%. Draw the second ball. The 2nd data point will be 100% (drawn 2 reds), 50% (1 red, 1 blue) or 0% (no reds). As you know that your final result is 50%, the line will oscillate up and down randomly but rapidly converge towards 50%, something like this:
VISUAL
The mathematical law describing this process is call hypergeometric. It describes in particular the statistics of partial ballot counting! And if you tell me that Romney has got 50% of the votes in that ballot, I can tell you that he needs to be real close that 50% by the time we have counted 90% of the votes, a bit less close at 80%, etc... Poll science shows that 10/20% might suffice for the oscillator to turn into a complete flat line. But maths allow another nice trick as well. If you tell me after 25% of the votes counted what Romney's score is, I can actually tell you the probability that he will get to a score of 50% at the end of the vote tally. Isn't hypergeometry nifty?
As we have seen, Romney's lines do not converge flatly towards the final result. It does not everytime the ballot is relevent to the final outcome. His score starts by oscillating and flattening but then shoots up in a straight line in dozens of counties. That is mathematically impossible.
Let's look at the numbers of Allendale County, SC. 311 votes.
Here is a chart you are now familiar with: Candidate score vs Cumulative votes sorted by ascending vote tally
VISUAL
Normal patterns, nothing special apparently. Now the hypergeometric distribution allows me to caluclate the following probabilities:
VISUAL
What does it say? Take Santorum. His final score is 12%. Don't forget: this is not an estimate, it is actual. His cumulative score MUST get there. People in Fairfax No 1 are known for their superior political wisdom. Santorum gets no vote. So 23 votes have been cast. Santorum has only 311-23 votes left to go from his current 0% to 12%. Probabilitity of him getting 0% out of 23 votes cast? Hypergeometry says 5%. But he does very well in the Martin precinct (guys, get a grip, his a fake). His cumulated share of votes goes back to 10%, close to his final score of 12%. The oscillator has sent him close to the final target and the probability of that is high: now 39%. Etc... Gingrich does well early, so he then needs very little to reach his final 52%. The number reflect that. Paul was looking good all the way but is trashed in Fairfax No 2. His odds from reaching the final 7% fall suddenly from 77% to 7%. Romney needed a big last precinct to end up 29%, which he got.
So expect big volatility in the numbers as candidates outperform/underperform locally and oscillate before reaching their final score.
If we plot the last table, we obtain that cute doodle:
X axis cumulative vote, Y axis Probability of having the score X or lower.
VISUAL
When a Y value is at 50%, it mean that the oscillator is currently aligned with the final score. So expect to go across that line frequently. In a real world.
Ok, more example of untampered counties.
VISUAL
Now. Think, Winnie, think. What does it mean to be at 0%. It means that your interim cumulative score is so low that you have no chance to get back up to the final result. On the charts which will follow, 0% is always something like 0.4%, or 0.002%, or 0.0000000000000000001%. Take this one.
VISUAL
VOTE FLIPPER ON ALERT !!!
How do I know? Notice a difference with the previous charts? I guessed so. What are the odds when Romney is at 27% with 23% of the votes counted to end up where he did, at 32%? Hypergeometry, a law of the universe, says: 1 out of 267,385,153.
Checkmate.
Link to source and lots more data.
EDIT: There is also this data for those who have not seen it.
Edit: for the sticklers, it's ELECTION FRAUD not voter fraud.
As per the Demographic argument
The crucial evidence being presented is that the vote percentages for Romney are steadily increasing with respect to time, in high-sample districts. This is evidence of vote rigging that is simply not contradicted by:
a) claims of statistical error
b) demographic shifts with respect to time of day
c) unevenly distributed vote tallies
Response from the Author of the original thread in response to TribbleTrouble's rebuttal below:
Pb 1: Oh dear... You know the score of 3 candidates so you can deduce the score of the 4th therefore non random variables therefore no hypergeometric function? If I give you the proportion of the red balls, can you deduce the score of the blue ones? Oh yes? Darn. Does it mean that hypergeometry cannot be applied to exhaustive ball sampling anymore? Well it still can. Still struggling big time with the basics, kid. Good luck with that exam.
Pb 2: Again, Romney does not correlate to population headcount, he correlates to RELATIVE population. This will stay beyond 98% of the audience, I have to accept it.
The numbers never "overestimate Paul's chance of performing well". I don't have that data. The work analyses the trajectory to the actual final ballot count, never anything else. Very confused student again.
Note: I think we have about a 35% claiming it is false, 35% claiming it is true and 30% who have no idea.
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