Obama | Romney |
93.9% probability of winning | 6.1% probability of winning |
Mean of 295 electoral votes | Mean of 243 electoral votes |
The Monte Carlo analysis two days ago showed President Barack Obama leading Gov. Mitt Romney by a mean of 303 to 235 electoral votes. If an election was held then, we would expect Obama to win with a 95.7% probability, and Romney with a 4.3% probability. Since Obama’s probability is greater than 95%, standard statistical reasoning would call Obama’s lead “statistically significant.”
Today there were lots of new polls released.
start | end | sample | % | % | % | |||
---|---|---|---|---|---|---|---|---|
st | poll | date | date | size | MOE | O | R | diff |
CA | Pepperdine U | 07-Oct | 10-Oct | 831 | 3.4 | 54.0 | 32.9 | O+21.1 |
CA | SurveyUSA | 07-Oct | 09-Oct | 539 | 4.3 | 53 | 39 | O+14 |
CO | SurveyUSA | 09-Oct | 10-Oct | 614 | 4.0 | 47 | 48 | R+1 |
CO | Quinnipiac | 04-Oct | 09-Oct | 1254 | 3.0 | 47 | 48 | R+1 |
FL | Rasmussen | 11-Oct | 11-Oct | 750 | 4.0 | 47 | 51 | R+4 |
FL | ARG | 08-Oct | 11-Oct | 600 | 4.0 | 46 | 49 | R+3 |
FL | Mason-Dixon | 08-Oct | 10-Oct | 800 | 3.5 | 44 | 51 | R+7 |
FL | Marist | 07-Oct | 09-Oct | 988 | 3.1 | 48 | 47 | O+1 |
IL | Tribune WGN | 04-Oct | 08-Oct | 700 | 3.7 | 55 | 36 | O+19 |
MA | PPP | 09-Oct | 11-Oct | 1051 | 3.0 | 55 | 41 | O+14 |
MI | Rasmussen | 11-Oct | 11-Oct | 500 | 4.5 | 52 | 45 | O+7 |
MI | Glengariff Group | 06-Oct | 08-Oct | 600 | 4.0 | 49.0 | 42.3 | O+6.7 |
MI | Gravis Marketing | 05-Oct | 08-Oct | 1122 | 3.2 | 46.0 | 44.4 | O+1.6 |
MT | PPP | 08-Oct | 10-Oct | 737 | 3.6 | 41 | 52 | R+11 |
MT | MSU-Billings | 27-Sep | 30-Sep | 477 | 5.0 | 35 | 49 | R+14 |
NV | PPP | 08-Oct | 10-Oct | 594 | 4.0 | 51 | 47 | O+4 |
NV | Suffolk | 06-Oct | 09-Oct | 500 | 4.4 | 46.8 | 45.2 | O+1.6 |
NH | ARG | 09-Oct | 11-Oct | 600 | 4.0 | 46 | 50 | R+4 |
NJ | Philadelphia Inquirer | 04-Oct | 08-Oct | 604 | 4.0 | 51 | 40 | O+11 |
NC | Rasmussen | 09-Oct | 09-Oct | 500 | 4.5 | 48 | 51 | R+3 |
OH | Rasmussen | 10-Oct | 10-Oct | 750 | 4.0 | 48 | 47 | O+1 |
OH | Gravis Marketing | 06-Oct | 10-Oct | 1313 | 2.7 | 45.1 | 45.9 | R+0.8 |
OH | Marist | 07-Oct | 09-Oct | 994 | 3.1 | 51 | 45 | O+6 |
OH | Pulse | 08-Oct | 08-Oct | 1000 | 3.0 | 47 | 46 | O+1 |
PA | Pulse | 08-Oct | 08-Oct | 1000 | 3.0 | 47 | 45 | O+2 |
PA | Philadelphia Inquirer | 04-Oct | 08-Oct | 600 | 4.0 | 50 | 42 | O+8 |
VA | Rasmussen | 11-Oct | 11-Oct | 750 | 4.0 | 47 | 49 | R+2 |
VA | Marist | 07-Oct | 09-Oct | 981 | 3.1 | 47 | 48 | R+1 |
VA | Pulse | 08-Oct | 08-Oct | 1000 | 3.0 | 48 | 48 | tie |
VA | Quinnipiac | 04-Oct | 09-Oct | 1288 | 3.0 | 51 | 46 | O+5 |
WI | Pulse | 08-Oct | 08-Oct | 1000 | 3.0 | 50 | 46 | O+4 |
WI | Quinnipiac | 04-Oct | 09-Oct | 1327 | 3.0 | 50 | 47 | O+3 |
Colorado turns red with the addition of two new polls that give Romney a +1% edge. Romney leads in five of seven current polls and has a 75% probability of taking the state now.
Three new Florida polls, also give Romney the edge. He leads Obama in five of the ten current polls, but by larger margins. Taken together, the simulation gives Romney a 76% chance of winning Florida now. Here’s the last three months:
Michigan voters seem content to supports Obama, if these three polls are representative. All five current polls go to Obama and they average out to a mid-single digit lead. The larger picture shows Obama with a pretty solid advantage:
Two new Nevada polls give Obama weak leads. In fact, Romney doesn’t lead in any of the five current polls, although one poll had the candidates tied. Taken together, Obama get a 74% probability of taking the state now.
A new New Hampshire poll goes surprisingly strongly for Romney—by +4%. The previous poll was a tie, and the oldest current poll has Obama up by a comfortable +15%. But fair warning: That poll was taken before the presidential debate! New Hampshire is definitely worth watching at this point. Here is the rather abrupt change in a picture:
Only one new North Carolina poll that puts Romney over Obama by +3%. Romney leads in three of the six current polls and all three post-presidential debate polls.
Four new Ohio polls split 3 to 1 for Obama. The President leads in 8 of 12 current polls. If the election was held now, the model predicts Obama would win Ohio with a 91% probability.
Pennsylvania is even stronger for Obama, who takes both of the new polls. Obama leads in all five of the current polls, and would be expected to win Pennsylvania now with a 94% probability.
Three Virginia polls give three results: a tie and a win for each candidate. When the current polls. are combined, Obama takes 50.4% of the pooled “votes”. And that translates into a 69% probability of winning an election right now. Here is the story in picture form:
Two new Wisconsin polls give Obama weak leads (+2% and +4%) over Romney. Obama’s lead has been cut from double digits just before the debate to about a +4% advantage. But the results give Obama a 98.4% probability of winning the state right now. The picture shows Obama with consistent lead in the state, if by a reduced margin:
When these new polls are added to the mix, the Monte Carlo analysis of 100,000 simulated elections gives Obama the win 93,914 times and Romney, 6,086 times (including the 901 ties). Obama receives (on average) 295 (-8) to Romney’s 243 (+8) electoral votes. If an election was held today, we’d expect Obama to win with a 93.9% (-1.8%) probability. Romney would have a 6.1% (+1.8%) probability of winning. By standard statistical reasoning, Obama’s lead is no longer “statistical significant.”
The long term trends in this race can be seen from a series of elections simulated every seven days using polls from 12 Oct 2011 to 12 Oct 2012, and including polls from the preceding 14 days (FAQ).
Essentially, Mitt Romney rebounded back to where he was just after the Republican convention.
Here is the distribution of electoral votes [FAQ] from the simulations:
Ten most probable electoral vote outcomes for Obama:
- 294 electoral votes with a 4.80% probability
- 295 electoral votes with a 4.21% probability
- 289 electoral votes with a 4.12% probability
- 288 electoral votes with a 4.06% probability
- 282 electoral votes with a 3.45% probability
- 304 electoral votes with a 2.95% probability
- 281 electoral votes with a 2.65% probability
- 276 electoral votes with a 2.58% probability
- 298 electoral votes with a 2.47% probability
- 291 electoral votes with a 2.45% probability
After 100,000 simulations:
- Obama wins 93.9%, Romney wins 6.1%.
- Average (SE) EC votes for Obama: 295.1 (18.1)
- Average (SE) EC votes for Romney: 242.9 (18.1)
- Median (95% CI) EC votes for Obama: 294 (262, 333)
- Median (95% CI) EC votes for Romney: 244 (205, 276)
Each column of this table shows the electoral vote total aggregated by different criteria for the probability of winning a state (Safe=100%, Strong=90%+, Leans=60%+, Weak=50%+):
Threshold | Safe | + Strong | + Leans | + Weak |
---|---|---|---|---|
Safe Obama | 145 | |||
Strong Obama | 120 | 265 | ||
Leans Obama | 29 | 29 | 294 | |
Weak Obama | 0 | 0 | 0 | 294 |
Weak Romney | 1 | 1 | 1 | 244 |
Leans Romney | 49 | 49 | 243 | |
Strong Romney | 90 | 194 | ||
Safe Romney | 104 |
This table summarizes results by state. Click on the poll count to see the individual polls included for the state.
0 | 0 | EC | # | Total | % | % | Obama | Romney | |
---|---|---|---|---|---|---|---|---|---|
8 | 4 | Votes | polls | Votes | Obama | Romney | % wins | % wins | |
AL | 9 | 1* | 404 | 39.6 | 60.4 | 0.1 | 99.9 | ||
AK | 3 | 0* | (0) | (100) | |||||
AZ | 11 | 1 | 576 | 45.3 | 54.7 | 6.0 | 94.0 | ||
AR | 6 | 1* | 2006 | 38.3 | 61.7 | 0.0 | 100.0 | ||
CA | 55 | 2 | 1218 | 60.3 | 39.7 | 100.0 | 0.0 | ||
CO | 9 | 7 | 4942 | 49.3 | 50.7 | 24.9 | 75.1 | ||
CT | 7 | 2 | 2108 | 55.6 | 44.4 | 100.0 | 0.0 | ||
DE | 3 | 0 | (100) | (0) | |||||
DC | 3 | 1* | 94 | 88.3 | 11.7 | 100.0 | 0.0 | ||
FL | 29 | 10 | 7487 | 49.4 | 50.6 | 24.2 | 75.8 | ||
GA | 16 | 1* | 439 | 38.5 | 61.5 | 0.0 | 100.0 | ||
HI | 4 | 1* | 1549 | 67.4 | 32.6 | 100.0 | 0.0 | ||
ID | 4 | 0* | (0) | (100) | |||||
IL | 20 | 1 | 637 | 60.4 | 39.6 | 100.0 | 0.0 | ||
IN | 11 | 1* | 736 | 43.5 | 56.5 | 0.5 | 99.5 | ||
IA | 6 | 1 | 480 | 51.0 | 49.0 | 62.6 | 37.4 | ||
KS | 6 | 2* | 1143 | 39.4 | 60.6 | 0.0 | 100.0 | ||
KY | 8 | 1* | 557 | 42.4 | 57.6 | 0.5 | 99.5 | ||
LA | 8 | 1 | 2548 | 37.9 | 62.1 | 0.0 | 100.0 | ||
ME | 2 | 5* | 2886 | 58.4 | 41.6 | 100.0 | 0.0 | ||
ME1 | 1 | 2* | 588 | 62.2 | 37.8 | 100.0 | 0.0 | ||
ME2 | 1 | 2* | 538 | 54.6 | 45.4 | 93.8 | 6.2 | ||
MD | 10 | 2* | 1471 | 61.5 | 38.5 | 100.0 | 0.0 | ||
MA | 11 | 4 | 2261 | 60.0 | 40.0 | 100.0 | 0.0 | ||
MI | 16 | 5 | 3672 | 52.0 | 48.0 | 95.7 | 4.3 | ||
MN | 10 | 1 | 900 | 55.2 | 44.8 | 98.7 | 1.3 | ||
MS | 6 | 1* | 717 | 40.0 | 60.0 | 0.0 | 100.0 | ||
MO | 10 | 2 | 1147 | 47.5 | 52.5 | 11.8 | 88.2 | ||
MT | 3 | 2 | 1086 | 43.2 | 56.8 | 0.2 | 99.8 | ||
NE | 2 | 1* | 728 | 44.0 | 56.0 | 0.9 | 99.1 | ||
NE1 | 1 | 1* | 389 | 45.5 | 54.5 | 10.0 | 90.0 | ||
NE2 | 1 | 1* | 352 | 50.0 | 50.0 | 49.2 | 50.8 | ||
NE3 | 1 | 1* | 284 | 35.9 | 64.1 | 0.0 | 100.0 | ||
NV | 6 | 5 | 3621 | 50.8 | 49.2 | 74.0 | 26.0 | ||
NH | 4 | 3 | 1614 | 52.0 | 48.0 | 86.8 | 13.2 | ||
NJ | 14 | 2 | 1163 | 57.5 | 42.5 | 100.0 | 0.0 | ||
NM | 5 | 2 | 1225 | 55.1 | 44.9 | 99.3 | 0.7 | ||
NY | 29 | 1* | 1426 | 64.6 | 35.4 | 100.0 | 0.0 | ||
NC | 15 | 6 | 4260 | 48.1 | 51.9 | 3.8 | 96.2 | ||
ND | 3 | 1 | 588 | 42.5 | 57.5 | 0.4 | 99.6 | ||
OH | 18 | 12 | 10141 | 51.0 | 49.0 | 91.2 | 8.8 | ||
OK | 7 | 1* | 431 | 33.4 | 66.6 | 0.0 | 100.0 | ||
OR | 7 | 1* | 499 | 54.9 | 45.1 | 93.9 | 6.1 | ||
PA | 20 | 5 | 3081 | 52.0 | 48.0 | 93.7 | 6.3 | ||
RI | 4 | 1 | 449 | 64.4 | 35.6 | 100.0 | 0.0 | ||
SC | 9 | 3* | 4199 | 48.2 | 51.8 | 4.6 | 95.4 | ||
SD | 3 | 1* | 474 | 41.8 | 58.2 | 0.4 | 99.6 | ||
TN | 11 | 1* | 654 | 46.0 | 54.0 | 7.6 | 92.4 | ||
TX | 38 | 2* | 2090 | 41.1 | 58.9 | 0.0 | 100.0 | ||
UT | 6 | 1* | 1149 | 27.7 | 72.3 | 0.0 | 100.0 | ||
VT | 3 | 1* | 415 | 71.3 | 28.7 | 100.0 | 0.0 | ||
VA | 13 | 7 | 6356 | 50.4 | 49.6 | 69.2 | 30.8 | ||
WA | 12 | 2* | 1059 | 57.9 | 42.1 | 100.0 | 0.0 | ||
WV | 5 | 1* | 361 | 42.1 | 57.9 | 1.5 | 98.5 | ||
WI | 10 | 5 | 4538 | 52.2 | 47.8 | 98.4 | 1.6 | ||
WY | 3 | 0 | (0) | (100) |
* An older poll was used (i.e. no recent polls exist).
Details of the methods are given in the FAQ.
The most recent analysis in this match-up can be found from this page
Benjamin spews:
The discrepancies between your analyses and Nate Silver’s continue to drive me nuts. But yours comfort me more.
Serial conservative spews:
By standard statistical reasoning, Obama’s lead is no longer “statistical significant.”
I’ve been waiting months to read that.
RCP currently has 201 solid/safe Obama EVs and 156 EVs now categorized as toss-up.
Meanwhile, Obama is still flailing over the LIbya thing, it’s looking as if Hillary might be fingered (bet it’s been decades since Bill’s done that to her) as the culprit on staffing in Benghazi, and Democrat nuclear war may ensue if this gets worse either pre- or post- debate.
All in all, almost a perfect set-up for a good weekend, if one does not support Obama.
Darryl spews:
Benjamin,
Silver does, what amounts to, a proprietary analysis. For his “Nowcast” he throws in more information than just polls.
Also, his electoral vote distributions in 2008 were way too over-dispersed, and seem to be now as well. His current distribution (for the Nowcast) has Obama winning somewhere from 180 to 360 electoral votes in an election held now.
If I recall correctly (from 2008) Silver is using a Gaussian approximation to the binomial distribution processes, and since each state simulation requires drawing twice from a binomial (once to draw a proportion given a poll results, and again to draw the sample who vote for each candidate), the errors from Gaussian approximations may compound into an over-dispersed electoral vote distribution.
I don’t use no stinkin’ approximations—it’s pure binomial distributions all the way for me.
How’d we do? In 2008, my straightforward model predicted Obama would win with an average of 364 electoral votes. Nate Silver: 349.
The actual result was 365. I was off by one because I didn’t break out Nebraska’s and Maine’s CDs as I do now.
We both correctly called each state except for Indiana. And Indiana was damn close.
(I discuss in more detail my predictions after the 2008 election here and here.)
So my advice is to treat my results as more accurate, and Nate Silver’s as more entertaining….
Serial conservative spews:
[Deleted — see HA Comment Policy]
Serial conservative spews:
So my advice is to treat my results as more accurate, and Nate Silver’s as more entertaining….
Entertainment sells books.
http://www.amazon.com/The-Sign.....lver+books
Gets you on Fresh Air, too.
Who woulda thunk S/N ratios could be so much fun?
Serial conservative spews:
Colorado can’t be right. Michael keeps saying it’s solid blue.
Michael spews:
The CO poll results are one more reason that suburbs are evil. That’s the suburbs keeping Romney on top. I may have over estimated the power of the urbans and under estimated the suburbs in CO.
In other news. The Republicans have put a whole lot of work into Nevada and aren’t getting much for it.
Serial conservative spews:
@ 7
The Republicans have put a whole lot of work into Nevada and aren’t getting much for it.
One might say the same for Obama and any number of states he carried four years ago, eh?
Florida, for instance.
Piltdown Man spews:
@7
evil? LOL
Darryl spews:
Bob @ 5,
“Entertainment sells books.”
It does if you can get the gig!
“Gets you on Fresh Air, too.”
Yep…Silver gets an A+ for self-promotion. I don’t begrudge him—this is what he does for a living.
I, on the other hand, do this as a hobby in my spare time. No qualms…I’d MUCH rather have my job.
Darryl spews:
Bob @ 8,
“One might say the same for Obama and any number of states he carried four years ago, eh?”
Of course…the difference is that Obama is leading, so his strategy seems to be working a bit better.
MikeBoyScout spews:
@7 Michael, worry not. CO is going to end up with Team VICTORY. I spent last weekend in Denver doing GOTV. We got this.
Michael spews:
@12
Awesome news. If you look at the polls over the course of the election there’s a lot more blue than red. But, it does look like the suburbs have more power in them than I thought.
I don’t recall saying that it was solid blue. Colorado used to be a Republican state, then it was a swing state, now it’s a swing state that trends blue.
@9
I could have used a more accurate and less entertaining term, but since I come on here for fun I went for entertaining.
MikeBoyScout spews:
Darryl,
I find this fascinating. Folks like you and, of course, Nate run the numbers using the best models we can possibly generate, yet y’all know we’re in uncharted territory. For example, we’ve never had an African American running for re-election before.
Here’s my hunch, this thing, as we look at it from the perspective of polling, is more like a tidal wave than a river.
And if you can recall the video from the 2004 tsunami the beach was mysteriously missing the water as that first powerful wave built. We’re either at or near the nadir here. And the wave is going to be something to behold.
Poll re-modeling will be very interesting after this.
MikeBoyScout spews:
@13 Michael, CO is a purple state. The key for Team VICTORY is to turn out Denver and to work the gender gap. We’re doing that.
Early voting starts in CO on Monday October 22nd. We will get out our vote.
EDIT: We’ll get out our vote because we are prepared.
Piltdown Man spews:
no worries michael, I took it as tongue in cheek…on the other hand, perhaps you were channeling YLBoring or Carl…
MikeBoyScout spews:
All here working for Team VICTORY who are made a tad bit nervous by Darryl’s numbers and Nate’s analysis, Darryl informs us “Four new Ohio polls split 3 to 1 for Obama. The President leads in 8 of 12 current polls.”
This race has been and is made in Ohio. Without Ohio Rmoney has to run the table, and he ain’t going to do that. And why has Ohio remained so steadily in Obama’s camp while the other swings seem to be swinging more?
Let Detroit Go Bankrupt
That smell of shit is never coming off of Romney in Ohio.
Benjamin spews:
Darryl:
So I was right to brag that I know the guy whose predictions of the 2008 elections were better than Nate Silver’s, and that it was because Silver makes more assumptions! And I was right to note that Silver, not you, is writing for NT Times because his stuff is more entertaining, not because it is more accurate. And your simulations still predict an Obama win with statistical confidence. AWESOME!
Puddybud spews:
Obummer is dropping…, dropping like a rock. [Think Pointer Sisters] As more polls come in after the BiteME Benghazi debacle, it will get worse! As people watch the Benghazi shuffle unfold, the less people will trust Obummer. Butt he’ll have his solid 47%ers.
Michael spews:
@17
Howard Schultz likes Ohio.
http://www.youtube.com/watch?v.....re=mh_lolz
Jerry spews:
Where did that idiot greg go who kept posting the odds?? Hey greg, they are now at less than 2-1. Intratrade has Obama at less than 60% and he’s dropping like a rock daily.
Where are you dude?
doggril spews:
Awwww, racist baby’s sounding a little grumpy. Who needs a nap?
greg spews:
@21 What part of Mitt is down 18 points on Intrade and 100% of the Oddsmakers favor the President do you fail to comprehend?
http://www.youtube.com/watch?v=aUeXhwmH5zM
Politically Incorrect - free minds, free markets, free people spews:
Usual suspects and trolls,
Just suppose that Romeny wins – just suppose for the sake of discussion. How will that really affect paying-off the $16 trillion we owe? Will a Romney win mean no more foreign adventures for which we cannot pay for, or will it be business as usual, borrowing ever-increasing amounts of money to finance an American overseas empire and the military machine to maintain it?
Would a Romney win mean the end of the stupid War on Drugs and legalization of cannabis? Would a Romney win mean term limits for Senators, members of the House and Supreme Court? Would a Romney win mean a flat rate income tax and a simplified income tax that would eventually become a national sales tax? Would a Romney win mean cancellation of the Patriot Act and the distruction of the Department of Homeland Security and its sub-agencies?
If a Romney win doesn’t mean any of those things, why should anyone vote for the guy? (Don’t worry, trolls – I won’t vote for Obama either.)
Dan Brown spews:
Obama is not flailing over Lybia, Serial asshole… WE don’t give a rat’s ass about the embassies. Let ’em all burn.
Dan Brown spews:
Any embassy that has spooks in it is fair game.
Richard Pope spews:
Greg @ 23
Mitt is down 18 points on Intrade
Too bad you aren’t more up on Intrade. You could have bought Mitt for as little as $1.90 per share (19%, based on $10.00 payout) on September 19, and now Mitt is trading at $4.03 as we speak …
Piltdown Man spews:
International Law does not appear to be your friend.
fayle.