Alaska 2022 U.S. House special general election (published ranking patterns): evidence account
In plain words
The count under the bridging rule elected Begich, Nick.
No audit ran.
No container custody was supplied.
Outcome status: preliminary. Software tallies stay preliminary until an audit on the record confirms them or a full hand count of the record replaces them.
The contest
Title: Alaska 2022 U.S. House special general election (published ranking patterns)
Candidates: Begich, Nick, Palin, Sarah, Peltola, Mary S..
Records in this count: 188,582.
Ballot file: alaska-2022-profile
Source: Graham-Squire and McCune, A Mathematical Analysis of the 2022 Alaska Special Election for US House (arXiv:2209.04764), Table 1, derived from the Alaska Division of Elections cast vote record for the August 16, 2022 special general election.
This is the ranking-pattern table, not the ballot records: the 188,582 ballots that ranked at least one candidate, grouped into the nine patterns they form.
The 3,412 ballots that marked nobody and the 295 stopped by two or more marks at their first rank are not in this table.
Write-in marks are dropped, and a ballot ranking only two candidates is written out in full, with the candidate it never ranks placed last.
The first-choice counts here (Begich 53,810, Palin 58,973, Peltola 75,799) are the state's own round 1.
Where the records sat:
One stack of 188,582 records. There is no ballot manifest of sealed containers.
No container custody was supplied.
What was configured
Configuration version: alaska-2022-profile-instant-runoff-v1-under-bridging.
Configuration fingerprint (SHA-256): 1635095b539a79b15de350e31ee14a4fabb3e6b2d4e080e368e8125a37db8492.
Counting rule: the bridging rule.
Ballot rules used: Two or more marks at one rank end the ballot there; 2 ranks in a row left blank end the ballot; a candidate marked again lower down counts as a rank left blank.
Ballot file: alaska-2022-profile. A third party with this file can rerun the count.
Audit: none. No seed was used.
Configured audit risk limit: 10%.
Plain-language configuration (check against statute intent):
Configuration version: alaska-2022-profile-instant-runoff-v1-under-bridging
Fingerprint (SHA-256): 1635095b539a79b15de350e31ee14a4fabb3e6b2d4e080e368e8125a37db8492
Election: U.S. Representative (Special General), counted under bridging (approved across the room's differences)
A demonstration configuration over committed fixture records, counting the same ballots under another rule. No audit ran under it, and no real election was counted under it.
Contests and candidates:
U.S. Representative (Special General) (us-house-special-general): Begich, Nick; Palin, Sarah; Peltola, Mary S..
Counting rule: bridging (approved across the room's differences).
Tiebreak: not used under this counting rule.
Ballot rules (how marks become a ranking):
Two or more marks at one rank: the ballot counts up to that rank and no further.
A candidate marked again lower down: that rank counts as a rank left blank.
2 ranks in a row left blank: the ballot counts up to there and no further.
A mark for anyone not on the ballot: a mark, so the rank is not blank, but never a vote.
Audit risk limit: 10%. A risk-limiting audit that runs under this configuration stops when the sample confirms the outcome at that limit, or sends the contest to a full hand count.
How a ballot is counted and how an audit stops are fixed by this version. Changing any of the lines above requires a new version id.
The count
What follows is the counting account under the bridging rule, including every intermediate step.
The rule
1. Every answer is one ranking of the drafts. A draft a ranking does not name is ranked last on that ranking, level with every other draft it does not name.
2. Each pair of drafts is set against each other: how many rankings put the first above the second, and how many put it the other way. The pair whose smaller side is largest is the question the room divides on.
3. The room is split in two on that question: the rankings that put one of the two above the other, and the rankings that put it the other way round. A ranking with no preference between those two counts on both sides.
4. On each side, a draft's support is the share of that side's comparisons it wins. Each ranking on the side compares the draft with each other draft: above counts one, below counts nothing, no preference counts a half.
5. A draft's standing is its support on the side where it is weakest. The draft with the highest standing stands. If two drafts are level on it, nothing stands.
What was counted
Ballots in this count: 188,582.
Ballots from: Graham-Squire and McCune, A Mathematical Analysis of the 2022 Alaska Special Election for US House (arXiv:2209.04764), Table 1, derived from the Alaska Division of Elections cast vote record for the August 16, 2022 special general election.
This is the ranking-pattern table, not the ballot records: the 188,582 ballots that ranked at least one candidate, grouped into the nine patterns they form.
The 3,412 ballots that marked nobody and the 295 stopped by two or more marks at their first rank are not in this table.
Write-in marks are dropped, and a ballot ranking only two candidates is written out in full, with the candidate it never ranks placed last.
The first-choice counts here (Begich 53,810, Palin 58,973, Peltola 75,799) are the state's own round 1.
How the marks on a ballot were read:
Two or more marks at one rank: the ballot counts up to that rank and no further.
A candidate marked again lower down: that rank counts as a rank left blank.
2 ranks in a row left blank: the ballot counts up to there and no further.
A mark for anyone not on the ballot: a mark, so the rank is not blank, but never a vote.
The rankings the ballots form, and how many ballots form each. A candidate a ranking does not name is ranked last on those ballots.
| Ranking | Ballots |
|---|---|
| Peltola, Mary S. > Begich, Nick > Palin, Sarah | 47,407 |
| Palin, Sarah > Begich, Nick > Peltola, Mary S. | 34,049 |
| Begich, Nick > Palin, Sarah > Peltola, Mary S. | 27,053 |
| Peltola, Mary S. | 23,747 |
| Palin, Sarah | 21,272 |
| Begich, Nick > Peltola, Mary S. > Palin, Sarah | 15,467 |
| Begich, Nick | 11,290 |
| Peltola, Mary S. > Palin, Sarah > Begich, Nick | 4,645 |
| Palin, Sarah > Peltola, Mary S. > Begich, Nick | 3,652 |
The question the room divides on
Each pair of drafts, both ways round. The smaller side is the count on the side fewer rankings took, and the pair whose smaller side is largest is the question the room divides on.
| Pair | Rankings for the first | Rankings for the second | Smaller side |
|---|---|---|---|
| Begich, Nick against Palin, Sarah | 101,217 | 63,618 | 63,618 |
| Begich, Nick against Peltola, Mary S. | 87,859 | 79,451 | 79,451 |
| Palin, Sarah against Peltola, Mary S. | 86,026 | 91,266 | 86,026 |
The room divides on Palin, Sarah against Peltola, Mary S..
The side that ranked Palin, Sarah above Peltola, Mary S.
86,026 rankings put Palin, Sarah above Peltola, Mary S., and 11,290 took no side on that question and count on both sides: 97,316 rankings on this side.
Points are the comparisons a draft wins on this side: above counts one, below counts nothing, no preference counts a half.
| Draft | Points | Comparisons | Support |
|---|---|---|---|
| Palin, Sarah | 150,644 | 194,632 | 77.40% |
| Begich, Nick | 121,371 | 194,632 | 62.36% |
| Peltola, Mary S. | 19,933 | 194,632 | 10.24% |
The side that ranked Peltola, Mary S. above Palin, Sarah
91,266 rankings put Peltola, Mary S. above Palin, Sarah, and 11,290 took no side on that question and count on both sides: 102,556 rankings on this side.
Points are the comparisons a draft wins on this side: above counts one, below counts nothing, no preference counts a half.
| Draft | Points | Comparisons | Support |
|---|---|---|---|
| Peltola, Mary S. | 172,710 | 205,112 | 84.20% |
| Begich, Nick | 112,794.5 | 205,112 | 54.99% |
| Palin, Sarah | 22,163.5 | 205,112 | 10.81% |
Support across the sides
A draft's standing is its support on the side where it is weakest.
| Draft | Palin, Sarah above Peltola, Mary S. | Peltola, Mary S. above Palin, Sarah | Weakest side |
|---|---|---|---|
| Begich, Nick | 62.36% | 54.99% | 54.99% |
| Palin, Sarah | 77.40% | 10.81% | 10.81% |
| Peltola, Mary S. | 10.24% | 84.20% | 10.24% |
What stands
Begich, Nick stands: its support on the side where it is weakest is 54.99%, higher than any other draft's.
Records with no mark, by contest and by machine
At the close of polls, the share of records with no mark in each contest, by contest and by machine. Leaving a contest blank is a voter's right; an outlier below is a question about the ballot or the machine, not a verdict.
| Contest | Records | With no mark | Share |
|---|---|---|---|
| us-house-special-general | 188,582 | 0 | 0.00% |
The audit
No audit ran.
What was found
No audit ran, so there are no sample findings.
Custody: none supplied. No container custody chain was recorded or verified.
Why it stopped
Decision: no audit.
No audit ran.
Outcome status: preliminary. Software tallies stay preliminary until an audit on the record confirms them or a full hand count of the record replaces them.