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Election 2020: Biden is still gaining on Trump

by Darryl — Friday, 9/18/20, 3:11 pm

Biden
Trump
> 99.9% probability of winning
< 0.1% probability of winning
Mean of 389 electoral votes
Mean of 149 electoral votes


Electoral College Map

Alabama Alaska Arizona Arkansas California Colorado Connecticut Delaware Florida Georgia Hawaii Idaho Illinois Indiana Iowa Kansas Kentucky Lousiana Maine Maryland Massachusettes Michigan Minnesota Mississippi Missouri Montana Nebraska Nevada New Hampshire New Jersey New Mexico New York North Carolina North Dakota Ohio Oklahoma Oregon Pennsylvania Rhode Island South Carolina South Dakota Tennessee Texas Utah Vermont Virginia D.C. Washington West Virginia Wisconsin Wyoming

Electoral College Map

Georgia Alaska Arizona Arkansas California Colorado Delaware Connecticut Florida Mississippi Alabama Hawaii Idaho Illinois Indiana Iowa Kansas Kentucky Louisiana Maine Maryland Massachusetts Michigan Minnesota Missouri Montana Nebraska Nevada New Hampshire New Jersey New Mexico New York North Carolina North Dakota Ohio Oklahoma Oregon Pennsylvania Rhode Island South Carolina South Dakota Tennessee Texas Utah Vermont Virginia D.C. Washington West Virginia Wisconsin Wyoming

My previous analysis was before the conventions. Now, roughly a month after the conventions, any movement from the conventions should become apparent.

To assess an election held today, we simulate 100,000 elections using the past month of polls as “current” and only using older polls if there are no current polls. From that exercise, Joe Biden won all 100,000. Biden received (on average) 389 to Donald Trump’s 149 electoral votes, a modest improvement for Biden from the 378 to 160 electoral vote lead he had at the end of July. In an election held now, Biden would have a greater than 99.9% probability of winning.

The long term trends in this race can be seen from a series of elections simulated every seven days using polls from 18 Sep 2019 to 18 Sep 2020, and including polls from the preceding month (FAQ).

Clearly, Biden has the lead and the momentum at this point in the election season, with his expected electoral vote total tending to climb since January. Details for the the most recent simulation is found below the fold.

Here is the distribution of electoral votes [FAQ] from the simulations for today’s results:

Ten most probable electoral vote outcomes for Biden (full distribution here):

  • 407 electoral votes with a 4.51% probability
  • 389 electoral votes with a 3.58% probability
  • 413 electoral votes with a 3.51% probability
  • 395 electoral votes with a 2.56% probability
  • 392 electoral votes with a 2.53% probability
  • 408 electoral votes with a 2.52% probability
  • 406 electoral votes with a 2.46% probability
  • 403 electoral votes with a 2.40% probability
  • 398 electoral votes with a 2.23% probability
  • 391 electoral votes with a 2.17% probability

The single most likely outcome is a 407 to 131 victory for Biden. Many, if not all, of those outcomes would be considered a landslide victory depending, of course, on the definition of a landslide.

Further results from 100,000 simulations:

  • Biden wins greater than 99.9%, Trump wins less than 0.1%.
  • Average (SE) EC votes for Biden: 389.4 (20.6)
  • Average (SE) EC votes for Trump: 148.6 (20.6)
  • Median (95% CI) EC votes for Biden: 392 (344, 419)
  • Median (95% CI) EC votes for Trump: 146 (119, 194)

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 Biden 274
Strong Biden 34 308
Leans Biden 99 99 407
Weak Biden 0 0 0 407
Weak Trump 0 0 0 131
Leans Trump 13 13 131
Strong Trump 66 118
Safe Trump 52

This table summarizes results by state. Click on the poll count to see the individual polls included for the state.

1 1 EC # Total % % Biden Trump
6 2 Votes polls Votes Biden Trump % wins % wins
AL 9 1* 572 38.3 61.7 0.0 100.0
AK 3 1* 831 46.8 53.2 9.6 90.4
AZ 11 14 10525 52.6 47.4 100.0 0.0
AR 6 1* 799 48.9 51.1 32.8 67.2
CA 55 3 2370 64.4 35.6 100.0 0.0
CO 9 4 2675 55.5 44.5 100.0 0.0
CT 7 2* 1494 62.5 37.5 100.0 0.0
DE 3 1 675 61.0 39.0 100.0 0.0
DC 3 0 (100) (0)
FL 29 17 22205 52.3 47.7 100.0 0.0
GA 16 6 6230 51.1 48.9 88.3 11.7
HI 4 1* 829 65.9 34.1 100.0 0.0
ID 4 1 565 36.6 63.4 0.0 100.0
IL 20 0 (100) (0)
IN 11 1 950 42.4 57.6 0.1 99.9
IA 6 1 736 48.9 51.1 34.3 65.7
KS 6 2* 1879 46.2 53.8 1.3 98.7
KY 8 1 1117 39.6 60.4 0.0 100.0
LA 8 2* 1668 43.4 56.6 0.0 100.0
ME 2 3 2517 59.4 40.6 100.0 0.0
ME1 1 3 1416 65.2 34.8 100.0 0.0
ME2 1 4 1476 52.0 48.0 85.8 14.2
MD 10 1* 765 62.6 37.4 100.0 0.0
MA 11 1 745 69.5 30.5 100.0 0.0
MI 16 13 11756 53.7 46.3 100.0 0.0
MN 10 9 5897 54.6 45.4 100.0 0.0
MS 6 1* 576 44.8 55.2 4.2 95.8
MO 10 2 1410 45.2 54.8 0.5 99.5
MT 3 2 1112 46.8 53.2 6.8 93.2
NE 2 0 (0) (100)
NE1 1 1* 376 48.9 51.1 39.8 60.2
NE2 1 1* 477 53.7 46.3 87.0 13.0
NE3 1 0* (0) (100)
NV 6 1 407 52.3 47.7 74.4 25.6
NH 4 1 387 51.7 48.3 68.4 31.6
NJ 14 1 465 59.1 40.9 99.8 0.2
NM 5 1 1044 58.0 42.0 100.0 0.0
NY 29 1 977 66.3 33.7 100.0 0.0
NC 15 18 16294 50.4 49.6 77.2 22.8
ND 3 2* 942 40.3 59.7 0.0 100.0
OH 18 4 5083 50.3 49.7 61.9 38.1
OK 7 1 459 37.0 63.0 0.0 100.0
OR 7 1 452 56.6 43.4 98.0 2.0
PA 20 15 14854 52.6 47.4 100.0 0.0
RI 4 0 (100) (0)
SC 9 1 930 46.9 53.1 8.5 91.5
SD 3 0 (0) (100)
TN 11 2* 1407 43.6 56.4 0.0 100.0
TX 38 6 9600 50.6 49.4 78.3 21.7
UT 6 1 880 39.8 60.2 0.0 100.0
VT 3 0 (100) (0)
VA 13 1 637 58.1 41.9 99.7 0.3
WA 12 1* 499 69.1 30.9 100.0 0.0
WV 5 1* 495 33.3 66.7 0.0 100.0
WI 10 21 15799 53.6 46.4 100.0 0.0
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.

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Related

Comments

  1. 1

    Pars Dominae Foetidae spews:

    Friday, 9/18/20 at 4:56 pm

    [Deleted — Off topic]

  2. 2

    Trump's Weird Little Penis spews:

    Friday, 9/18/20 at 5:06 pm

    [Deleted — Off topic]

  3. 3

    Roger Rabbit spews:

    Friday, 9/18/20 at 5:28 pm

    With everything that’s happened, Biden should be gaining. There’s something wrong with voters if he isn’t. Oh wait, there is something wrong with voters, or Trump wouldn’t be president.

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