This is a preliminary fixture, not a certified election.

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-ranked-robin-v1-under-bridging.

Configuration fingerprint (SHA-256): 5f6f5bb3273ebaece6fcf13d8b93491bbdd8fc508c29c30087635b22185b1514.

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-ranked-robin-v1-under-bridging

Fingerprint (SHA-256): 5f6f5bb3273ebaece6fcf13d8b93491bbdd8fc508c29c30087635b22185b1514

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.

RankingBallots
Peltola, Mary S. > Begich, Nick > Palin, Sarah47,407
Palin, Sarah > Begich, Nick > Peltola, Mary S.34,049
Begich, Nick > Palin, Sarah > Peltola, Mary S.27,053
Peltola, Mary S.23,747
Palin, Sarah21,272
Begich, Nick > Peltola, Mary S. > Palin, Sarah15,467
Begich, Nick11,290
Peltola, Mary S. > Palin, Sarah > Begich, Nick4,645
Palin, Sarah > Peltola, Mary S. > Begich, Nick3,652

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.

PairRankings for the firstRankings for the secondSmaller side
Begich, Nick against Palin, Sarah101,21763,61863,618
Begich, Nick against Peltola, Mary S.87,85979,45179,451
Palin, Sarah against Peltola, Mary S.86,02691,26686,026

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.

DraftPointsComparisonsSupport
Palin, Sarah150,644194,63277.40%
Begich, Nick121,371194,63262.36%
Peltola, Mary S.19,933194,63210.24%

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.

DraftPointsComparisonsSupport
Peltola, Mary S.172,710205,11284.20%
Begich, Nick112,794.5205,11254.99%
Palin, Sarah22,163.5205,11210.81%

Support across the sides

A draft's standing is its support on the side where it is weakest.

DraftPalin, Sarah above Peltola, Mary S.Peltola, Mary S. above Palin, SarahWeakest side
Begich, Nick62.36%54.99%54.99%
Palin, Sarah77.40%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.

ContestRecordsWith no markShare
us-house-special-general188,58200.00%

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.