Description of the Cumulative Vote Tally (CVT)
Looking at 2018 Races in Texas
Comparing the 2016 and 2020 Presidential Races in Texas
Comparing the 2018 Senate and the 2020 Presidential Races in Texas by County
Comparing the 2016 and 2020 Presidential Races in Texas using various Plot Types
Precinct Data Locations
There have been a number of analyses that have looked at the 2016 Presidential Race using something called Cumulative Vote Tally (CVT). I've linked to a number of them at this link. One titled An Electoral System in Crisis describes CVT as follows:
This method is called a CVS (Cumulative Vote Study) or CVT (Cumulative Vote Tally) graph. Precincts are organized from those with the least number of votes to those with the most vote. The statistical patterns that emerge are then examined to see if the candidates' percentages tend to stabilize as more and more of the votes are counted. That is the expected statistical pattern, because as a sample size grows, its average should get closer and closer to the average of the whole population.
The paper goes on to say the following about when this expected behavior does not occur:
When one candidate's percentages go up as the precincts get larger, there may be an explanation - such as an increase in registered Democrats or Republicans - or an increase in a particular demographic that supports that candidate. We try to look at contextual data, when it is available to see if there are reasons for the statistical pattern. If not, a pattern where one candidate gets more and more votes as the precincts get larger may be a red flag that the results have been manipulated.
Hence, the analyses is careful to say that CVT can provide a red flag but that the researcher should also look at contextual data. Another analysis was put out by a group named "Vote Sleuth" on their website at http://www.votesleuth.org/ adds the following regarding CVT:
The political leaning of a given voting precinct should not be strongly related to its size, except for the observation that very small precincts tend to be located in rural areas, which historically have voted more conservatively.
In general, as the vote count is tallied for a given county starting with the smallest precincts and moving to the larger ones, we would expect the percent of votes for a given candidate to quickly stabilize at or near the final outcome, unless for some reason there is a strong bias toward one candidate in larger precincts. A more thorough explanation of the reason for this is here.
The analysis then goes on to describe a simple metric named "deltaM":
We adopted a very simple metric - deltaM* - to describe how "flat" one of these sets of lines is. This estimates numerically the extent to which there is a change in vote margin as we move from adding only smaller precincts to adding larger precincts to the totals. We arrive at this margin by first identifying the median precinct size - where half the precincts are smaller and half the precincts are larger. We then add up the votes for the two candidates in all of the precincts below and including the median to see how different the vote outcome would be if we stopped counting votes after we added only the results from the smaller precincts. If the outcome for all precincts compared to that for only the smaller half of the precincts favors the Republican candidate, deltaM is positive. If the final outcome compared to the "smaller precincts only" outcome favors the Democratic candidate, deltaM is negative.
DeltaM represents the distance between the vote lines at the far right of the graph compared to the distance between the lines at the middle of the graph.
As an example of a county with a large deltaM, the analysis shows the following CVT graph of Milwaukee County, Wisconsin in the 2016 Presidential race:
Description of the Cumulative Vote Tally (CVT)
Looking at 2018 Races in Texas
Comparing the 2016 and 2020 Presidential Races in Texas
Comparing the 2018 Senate and the 2020 Presidential Races in Texas by County
Comparing the 2018 Senate and 2020 Presidential Races in Maverick County, TX (percent)
COUNTY AREA ORourke Cruz MARGIN1 TOTAL1 Biden Trump MARGIN2 TOTAL2 DEM_SH REP_SH MAR_SH TOT_SH TOT1_N
1 Maverick 323001A 78.85 20.79 58.06 99.64 54.16 45.59 8.56 99.75 -24.70 24.80 -49.50 0.11 279
2 Maverick 323001B 67.43 31.53 35.90 98.96 53.35 45.43 7.92 98.78 -14.08 13.90 -27.98 -0.17 1,053
3 Maverick 323001C 75.41 23.70 51.71 99.12 54.03 45.05 8.98 99.08 -21.38 21.35 -42.73 -0.03 1,582
4 Maverick 323002A 86.18 13.45 72.73 99.64 55.06 44.71 10.35 99.76 -31.12 31.25 -62.37 0.13 275
5 Maverick 323002BA 73.83 24.30 49.53 98.13 52.73 44.85 7.88 97.58 -21.10 20.55 -41.65 -0.56 107
6 Maverick 323002BB 75.36 24.15 51.21 99.52 53.94 45.74 8.20 99.68 -21.42 21.59 -43.01 0.17 207
7 Maverick 323002BC 75.09 23.82 51.27 98.91 53.94 45.04 8.90 98.98 -21.15 21.22 -42.37 0.06 827
8 Maverick 323002C 77.58 21.29 56.29 98.87 54.40 44.60 9.80 99.01 -23.18 23.31 -46.49 0.13 620
9 Maverick 323002D 54.00 46.00 8.00 100.00 59.65 40.35 19.30 100.00 5.65 -5.65 11.30 0.00 50
10 Maverick 323003A 67.92 31.03 36.88 98.95 54.27 45.05 9.23 99.32 -13.64 14.01 -27.65 0.37 1,334
11 Maverick 323003B 70.12 28.86 41.26 98.98 54.66 44.59 10.07 99.25 -15.47 15.73 -31.19 0.26 1,476
12 Maverick 323003C 48.52 51.05 -2.53 99.58 61.72 38.28 23.44 100.00 13.20 -12.77 25.97 0.42 237
13 Maverick 323004A 73.66 24.55 49.10 98.21 55.41 44.40 11.01 99.81 -18.25 19.85 -38.10 1.60 391
14 Maverick 323004B 65.30 33.96 31.34 99.26 53.99 44.97 9.02 98.97 -11.31 11.01 -22.32 -0.30 1,222
15 Maverick 323004C 72.56 27.44 45.12 100.00 54.63 45.05 9.58 99.69 -17.93 17.61 -35.54 -0.31 430
16 Maverick 323004D 80.03 19.10 60.93 99.13 53.40 45.15 8.25 98.55 -26.63 26.06 -52.68 -0.57 686
17 TOTAL TOTAL 71.71 27.38 44.32 99.09 54.29 44.84 9.46 99.13 -17.41 17.45 -34.87 0.04 10,776
Comparing the 2018 Senate and 2020 Presidential Races in Maverick County, TX (counts)
COUNTY AREA ORourke Cruz MARGIN1 TOTAL1 Biden Trump MARGIN2 TOTAL2 DEM_SH REP_SH MAR_SH TOT_SH
1 Maverick 323001A 220 58 162 279 215 181 34 397 -5 123 -128 118
2 Maverick 323001B 710 332 378 1,053 613 522 91 1,149 -97 190 -287 96
3 Maverick 323001C 1,193 375 818 1,582 1,240 1,034 206 2,295 47 659 -612 713
4 Maverick 323002A 237 37 200 275 234 190 44 425 -3 153 -156 150
5 Maverick 323002BA 79 26 53 107 87 74 13 165 8 48 -40 58
6 Maverick 323002BB 156 50 106 207 171 145 26 317 15 95 -80 110
7 Maverick 323002BC 621 197 424 827 685 572 113 1,270 64 375 -311 443
8 Maverick 323002C 481 132 349 620 766 628 138 1,408 285 496 -211 788
9 Maverick 323002D 27 23 4 50 34 23 11 57 7 0 7 7
10 Maverick 323003A 906 414 492 1,334 800 664 136 1,474 -106 250 -356 140
11 Maverick 323003B 1,035 426 609 1,476 1,162 948 214 2,126 127 522 -395 650
12 Maverick 323003C 115 121 -6 237 158 98 60 256 43 -23 66 19
13 Maverick 323004A 288 96 192 391 297 238 59 536 9 142 -133 145
14 Maverick 323004B 798 415 383 1,222 784 653 131 1,452 -14 238 -252 230
15 Maverick 323004C 312 118 194 430 348 287 61 637 36 169 -133 207
16 Maverick 323004D 549 131 418 686 738 624 114 1,382 189 493 -304 696
17 TOTAL TOTAL 7,727 2,951 4,776 10,776 8,332 6,881 1,451 15,346 605 3,930 -3,325 4,570
Comparing the 2018 Senate and 2020 Presidential Races in Starr County, TX (percent)
COUNTY AREA ORourke Cruz MARGIN1 TOTAL1 Biden Trump MARGIN2 TOTAL2 DEM_SH REP_SH MAR_SH TOT_SH TOT1_N
1 Starr 4270001 70.40 29.08 41.33 99.48 54.78 44.31 10.46 99.09 -15.63 15.24 -30.87 -0.39 963
2 Starr 4270002 75.98 23.87 52.11 99.84 51.86 47.22 4.65 99.08 -24.11 23.35 -47.47 -0.76 1,278
3 Starr 4270003 75.28 23.61 51.66 98.89 50.27 48.37 1.91 98.64 -25.01 24.75 -49.76 -0.25 631
4 Starr 4270004 52.45 47.55 4.91 100.00 46.30 52.88 -6.58 99.18 -6.15 5.33 -11.48 -0.82 265
5 Starr 4270005 63.27 36.73 26.53 100.00 47.14 52.86 -5.71 100.00 -16.12 16.12 -32.24 0.00 49
6 Starr 4270006 81.76 17.15 64.62 98.91 55.42 43.60 11.82 99.02 -26.34 26.45 -52.79 0.11 3,219
7 Starr 4270007 76.65 22.88 53.77 99.53 51.59 47.42 4.17 99.01 -25.06 24.54 -49.61 -0.52 424
8 Starr 4270008 78.91 20.65 58.26 99.57 50.56 48.14 2.42 98.71 -28.35 27.49 -55.84 -0.86 920
9 Starr 4270009 77.66 21.86 55.80 99.52 50.14 48.92 1.22 99.05 -27.52 27.06 -54.58 -0.46 1,034
10 Starr 4270010 74.53 25.06 49.47 99.59 50.11 48.96 1.15 99.07 -24.42 23.90 -48.31 -0.52 1,967
11 TOTAL TOTAL 76.71 22.66 54.05 99.37 52.00 47.00 5.00 99.00 -24.71 24.34 -49.05 -0.37 10,750
Comparing the 2018 Senate and 2020 Presidential Races in Starr County, TX (counts)
COUNTY AREA ORourke Cruz MARGIN1 TOTAL1 Biden Trump MARGIN2 TOTAL2 DEM_SH REP_SH MAR_SH TOT_SH
1 Starr 4270001 678 280 398 963 843 682 161 1,539 165 402 -237 576
2 Starr 4270002 971 305 666 1,278 1,183 1,077 106 2,281 212 772 -560 1,003
3 Starr 4270003 475 149 326 631 554 533 21 1,102 79 384 -305 471
4 Starr 4270004 139 126 13 265 169 193 -24 365 30 67 -37 100
5 Starr 4270005 31 18 13 49 33 37 -4 70 2 19 -17 21
6 Starr 4270006 2,632 552 2,080 3,219 2,264 1,781 483 4,085 -368 1,229 -1,597 866
7 Starr 4270007 325 97 228 424 260 239 21 504 -65 142 -207 80
8 Starr 4270008 726 190 536 920 899 856 43 1,778 173 666 -493 858
9 Starr 4270009 803 226 577 1,034 1,111 1,084 27 2,216 308 858 -550 1,182
10 Starr 4270010 1,466 493 973 1,967 1,783 1,742 41 3,558 317 1,249 -932 1,591
11 TOTAL TOTAL 8,246 2,436 5,810 10,750 9,099 8,224 875 17,498 853 5,788 -4,935 6,748
Comparing the 2016 and 2020 Presidential Races in Texas using various Plot Types
X/X Plots
X/Y Plots
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X/dX Plots, removing two outliers
Precinct Data Locations
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