Poll Analysis: Clinton versus Paul

Clinton	Paul
97.7% probability of winning	2.3% probability of winning
Mean of 329 electoral votes	Mean of 209 electoral votes

Previous analyses shows that former Gov. Jeb Bush (R-FL) and Sen. Marco Rubio (R-FL) are performing reasonably well (even if losing) against Hillary Clinton in a electoral college election that uses state polling. We might label Bush and Rubio as “top-tier” candidates, except that neither are leading in the G.O.P. primary. Still…they are a threat to Clinton.

Then there is the bottom tier. Certainly, Gov. Scott Walker (R-WI) falls into this category based on his abysmal performance against Clinton (0.5% probability of winning to Clinton’s 99.5%).

Senator Rand Paul (R-KY) must also be relegated to the bottom of the Republican primary heap, although in fairness, he is doing much better than Walker. Not really a threat, though.

After 100,000 simulated elections, Clinton wins 97,668 times and Paul wins 2,332 times (including the 99 ties). Clinton received (on average) 329 to Paul’s 209 electoral votes. In an election held now, Clinton would have a 97.7% probability of winning and Paul would have a 2.3% probability of winning.

Paul is losing in FL, NC, VA, PA, MI, WI, IA, GA, NM and NV, and he is leading, but isn’t really doing that well in his home state of KY.

Here is the distribution of electoral votes [FAQ] from the simulations:

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

• 336 electoral votes with a 2.30% probability
• 326 electoral votes with a 2.14% probability
• 334 electoral votes with a 2.09% probability
• 344 electoral votes with a 2.05% probability
• 342 electoral votes with a 1.88% probability
• 324 electoral votes with a 1.79% probability
• 328 electoral votes with a 1.79% probability
• 335 electoral votes with a 1.72% probability
• 330 electoral votes with a 1.71% probability
• 338 electoral votes with a 1.67% probability

After 100,000 simulations:

• Clinton wins 97.7%, Paul wins 2.3%.
• Average (SE) EC votes for Clinton: 329.2 (26.0)
• Average (SE) EC votes for Paul: 208.8 (26.0)
• Median (95% CI) EC votes for Clinton: 331 (271, 377)
• Median (95% CI) EC votes for Paul: 207 (161, 267)

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 Clinton	92
Strong Clinton	161	253
Leans Clinton	73	73	326
Weak Clinton	10	10	10	336
Weak Paul	0	0	0	202
Leans Paul	75	75	202
Strong Paul	58	127
Safe Paul	69

The long term trends in this race can be seen from a series of elections simulated every seven days using polls from 16-Sep-2014 to 16-Sep-2015 that including polls from the preceding one month (FAQ).

An animated sequence of maps and electoral vote distributions can be seen here

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

	1	0	EC	#	Total	%	%	Clinton	Paul
	2	8	Votes	polls	Votes	Clinton	Paul	% wins	% wins
AL			9	0				(0)	(100)
AK			3	3*	1827	45.3	54.7	0.2	99.8
AZ			11	1*	510	47.1	52.9	18.1	81.9
AR			6	4*	3775	49.1	50.9	22.1	77.9
CA			55	1*	516	55.0	45.0	94.8	5.2
CO			9	1*	760	48.3	51.7	25.5	74.5
CT			7	1*	1062	62.8	37.2	100.0	0.0
DE			3	0*				(100)	(0)
DC			3	0*				(100)	(0)
FL			29	1*	975	54.2	45.8	96.9	3.1
GA			16	1*	815	51.7	48.3	74.5	25.5
HI			4	0*				(100)	(0)
ID			4	1*	443	38.8	61.2	0.0	100.0
IL			20	1*	782	56.0	44.0	98.9	1.1
IN			11	0*				(0)	(100)
IA			6	1*	1245	51.8	48.2	81.3	18.7
KS			6	5*	4518	46.1	53.9	0.0	100.0
KY			8	1*	746	48.9	51.1	34.1	65.9
LA			8	2*	1637	48.6	51.4	21.2	78.8
ME			2	1*	857	64.1	35.9	100.0	0.0
ME1			1	0*				(100)	(0)
ME2			1	0*				(100)	(0)
MD			10	1*	667	60.0	40.0	100.0	0.0
MA			11	1*	771	62.8	37.2	100.0	0.0
MI			16	1*	932	51.7	48.3	77.6	22.4
MN			10	1*	862	50.6	49.4	59.5	40.5
MS			6	2*	1060	48.9	51.1	30.5	69.5
MO			10	1*	739	43.0	57.0	0.4	99.6
MT			3	1*	890	44.2	55.8	0.5	99.5
NE			2	0*				(0)	(100)
NE1			1	0*				(0)	(100)
NE2			1	0*				(0)	(100)
NE3			1	0*				(0)	(100)
NV			6	1*	782	54.3	45.7	95.6	4.4
NH			4	1	706	55.9	44.1	98.8	1.2
NJ			14	1*	1257	61.3	38.7	100.0	0.0
NM			5	1*	618	57.6	42.4	99.6	0.4
NY			29	1*	683	66.6	33.4	100.0	0.0
NC			15	1*	804	52.4	47.6	83.5	16.5
ND			3	0*				(0)	(100)
OH			18	2*	1754	49.3	50.7	33.7	66.3
OK			7	0*				(0)	(100)
OR			7	1*	861	56.7	43.3	99.8	0.2
PA			20	2*	1575	50.5	49.5	60.8	39.2
RI			4	0*				(100)	(0)
SC			9	1*	764	48.8	51.2	32.6	67.4
SD			3	0*				(0)	(100)
TN			11	0*				(0)	(100)
TX			38	2*	964	46.1	53.9	4.1	95.9
UT			6	0*				(0)	(100)
VT			3	0*				(100)	(0)
VA			13	1*	1041	52.8	47.2	90.1	9.9
WA			12	2*	1692	54.7	45.3	99.8	0.2
WV			5	0*				(0)	(100)
WI			10	1*	722	54.4	45.6	95.4	4.6
WY			3	2*	2060	39.7	60.3	0.0	100.0

^* 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.