Law and legal history · the Survey of Scottish Witchcraft, 1563 to 1736

Two Thirds of Whom

The Survey of Scottish Witchcraft names 3,212 people accused of witchcraft. For 2,687 of them it records no outcome of any kind, and for 249 it records a death. Each execution total this page could trace takes a rate from the recorded sentences and applies it to a population. Choose the population, and see which published figure you have made.

What the record keeps

The Survey of Scottish Witchcraft is a database of the people its team found accused of witchcraft in Scotland, built by Julian Goodare, Lauren Martin, Joyce Miller and Louise Yeoman from surviving legal and church records and published by the University of Edinburgh. For each of 3,212 named people it keeps what the documents hold: a trial, a verdict, a sentence, a mark that an execution took place. Where the documents are silent, the database is silent too, and its documentation says how that silence is to be read: If no evidence was found, ‘no’ is entered, but this should be read as ‘unknown’.

the record gives a death, by a sentence of execution or the mark that an execution took place: 249 another outcome is recorded (a different sentence, a verdict with no sentence, flight, or dropped action): 276 no outcome of any kind is recorded: 2,687 One square for each named person, in the order of the year of their case. Unnamed groups are not people with records of their own, and are not drawn.

The record gives a death for 249 named people. For 2,687 it records no outcome of any kind.

The number of those executed was probably much higher than those for whom we have definite records of their execution.

The Survey of Scottish Witchcraft, FAQ

Two thirds of whom?

Each total this instrument makes is a rate multiplied by a population, and seven of the nine figures in circulation in the table below are built the same way, from one rate or several. The rate comes from the few hundred people whose sentence survives. The population is where the totals part company. Change either blank.

Suppose of were put to death.

Beside every total, fixed and never multiplied: the record gives a death for 249 named people, and for 2,687 it records no outcome of any kind.

Figures in circulation, and the rule under each

A row lights when the two blanks above hold its rule. The page shows what each figure assumes. It does not rule on which is right.

First, the published method, reproduced

The Survey's own FAQ gives the rate and doubts it in the same answer. After its list of known sentences it says This seems to suggest that 67%, two-thirds, were executed. Then: But this figure is probably not very accurate. It names two reasons that pull in opposite directions. The known sentences are unrepresentative because most of them come from trials in the central justiciary court, which probably acquitted more often than local courts; and our 3,212 people include a number whom we found being investigated by the church authorities. Probably some of these went on to receive a criminal trial, and may then have been executed; but others' cases were probably dropped before they came to trial.

Liv Helene Willumsen and Terje Vassdal took the question further in 2025. They divided the recorded sentences by type of trial, by panic and non-panic years and by three periods, estimated each part separately, and put a confidence interval around every total. Their method stands on an assumption they state plainly: We assume that the surviving information on verdict and sentence has not been deliberately disposed of. Therefore, it is appropriate to use the method of statistical random sampling to analyse these documents. Their paper is what makes a check like this one possible. The page runs their method before anything else, with the same engine it uses everywhere.

From the frozen export, the engine reproduces 112 of the 117 values the article prints in its tables and in its text exactly, 3 more to within 0.03, and 2 differ. The article's verdict-by-sentence table also leaves 34 cells blank. A blank is not a printed value, so none of them is counted above, and each is shown as blank in the article. Nothing the authors computed is fed to the engine.

By type of trial it finds the rates they print. Of central trial rows with a sentence, 60 of 102 are sentences of death (58.82 per cent); local, 101 of 133 (75.94); mixed central and local, 45 of 72 (62.50). Applied to the trial rows of each type, those rates give 1,758. The 803 remaining rows have no central, local or mixed trial process, and the authors give them the average rate of the rest (We assume here that missing cases have the same relative proportion of executions as known cases.), which gives 2,345.

Whom their count of named people counts

The article describes its population this way: When counting the number of persons in the Sentence table in the SSW, two persons cannot be accounted for. The total number of accused named individuals is thus 3,210. The export gives exactly that number by another route. 3,210 is the number of trial rows attached to named cases, and the article's verdict-by-sentence table and its type-of-trial table both add up to it over trial rows. Those rows belong to 2,835 people: 375 are a second or third trial row for the same person, and 377 named people have no trial row at all. Counted as people, the named total is 3,212. For the totals this barely matters (2,345 over rows, 2,348 over people). For the question of whom, it is the whole matter.

What did not come out exactly, and why

What the confidence interval measures

The sophisticated replyHistorians know two thirds is uncertain. The Survey says so, and Willumsen and Vassdal answered it with stratified sampling and a confidence interval. The published totals are about right.

Their interval measures sampling variation: how far a total would move if a different set of sentences, of the same size, had happened to survive, on their stated assumption that the surviving records are a random sample of all of them. The authors put it exactly: The sample of 307 is by nature arbitrary. It could have been some other 307 records that had survived. What it does not measure is whether the people the rates are applied to, but whose records hold no trial, share the rate of the people whose sentences survive.

Of the 3,212 named people, 839 have no central, local or mixed trial process on record. For 462, every trial row is of the kind the page reads as the documentation's record of someone mentioned in another person's trial; 377 have no trial row at all. None of the 839 has a trial date, a verdict, a sentence, an arrest, a flight or an execution mark on record. No division of the sentences can say anything about them. Every total built from a rate gives them one by assumption, and Willumsen and Vassdal, to their credit, state theirs.

Strata
People with no trial process on record

The rate of the rest is what each of the seven figures in circulation built from a rate assumes, in the unit it counts. The other two do not rest on a rate this page can reproduce: the campaigners' letter in the Scottish Government's release names none, and Larner's figure comes from records gathered before the Survey.

Every other choice the total depends on

Rates counted over
Rates applied to
The year of a case
The two Shetland cases with no year
A person tried in two kinds of court
What counts as a recorded death
Flight and dropped action

    Most accused people have no outcome recorded: 2,687 of 3,212, while 249 have a recorded death. In trial rows, giving 803 untried rows the rate of the rest raises their total from 1,758 to 2,345, beyond twice the published interval.

    Those two totals, 2,345 and 1,758, are 587 apart, and the published interval, 2,202 to 2,488, spans 286. All four are counted in trial rows. At this page's defaults the same trial-type rates are applied to all 3,212 named people instead. The total then runs from 1,735, if the 839 people with no trial process on record are given none of the rate, to 2,348, if they are given the rate of the rest: a gap of 613 people. That gap is not set beside the published interval, because the two are counted in different units, and the instrument above draws no sampling interval for settings that mix them. Counted in named people for the rates as well as the population, the gap is 604 people (1,711 to 2,315), and the authors' formula, applied by this page in that unit, gives a sampling interval 278 wide.

    The interval the record itself supports

    For named people the record sets its own limits, with no sampling assumption. The lowest total consistent with it is the number of people for whom it gives a death: 249 by a sentence of execution or the mark that an execution took place, 186 if both are required. The highest is 3,070: everyone except those with a recorded sentence of another kind or a verdict of Not Guilty or Not Proven and no sentence, or 2,961 if flight and dropped action are read as the end of a case. Every published total on this page lies inside those limits. Where inside them is decided by what is assumed about people the record does not follow to the end.

    Why dividing the sentences raises the totals

    Choose decade above and the reason is visible. Sentences survive most densely where sentences of death were rarest. The record names 85 people in cases of the 1700s, with 33 known sentences, 2 of them sentences of death. It names 594 in the 1640s, with 17 known sentences, 14 of death, and 674 in the 1660s, with 38, 33 of death. One rate for everyone lets the well-documented later cases speak for the crowded middle years. The authors saw the same direction in their periods: The stratification according to time periods clearly shows that the expected execution rate is highest in the period with the most cases.

    People, not rates

    The rates are made of people, and the record keeps their names in its own spelling. Choose a group to read each person's record as the Survey holds it. Every stage is shown as recorded, or as not recorded. A zero in a yes-or-no field is shown as not recorded, because that is what the documentation says it means.

      What this instrument will not say

      Each button asks for something the record cannot support. The answer is the engine's own refusal.

      The check

      Recomputed from the frozen export, in your browser

      Every free choice, proved live

      Each choice in the instrument is a parameter of the engine. This runs every option of every choice through the same estimate and reports what moved.

      A fault, planted in a copy

      Pick a fault. The page doctors a copy of the frozen extract, runs the unmodified engine on it, and shows what breaks. The shipped data are not touched.

      What remains uncertain

      Provenance

      SHA-256, checked in this browser against record.json:

      Sources, licence and limits

      Licence

      The Survey's data are used under the Creative Commons Attribution 4.0 International licence of the University of Edinburgh's DataShare deposit, with the attribution above. The page ships a derived extract: three of the deposit's tables, some of their columns, joined on the accused reference, with every value left as exported. The documentation in the same deposit also carries the website's older terms, The website and database and all of their contents are the copyright of the University of Edinburgh and reproduction is only permitted in accordance with the following terms, which allow use for private reference, research or study. This page follows the deposit's licence, and records that discrepancy here and in LICENCE.txt. Quotations from the FAQ, the documentation, the article, the Scottish Government release and the press are short and cited.

      What this page cannot do

      We searched the Survey of Scottish Witchcraft FAQ and documentation, Willumsen and Vassdal 2025, the Scottish Government's FOI release on the pardon review, press coverage of the 2022 apology, web searches for the 2,500 and two-thirds figures, and the Artificial Wasteland corpus on 2026-09-14, and did not find a published account of which population each circulating execution figure is applied to, of the 839 named accused with no trial process on record inside those populations, or of the 43 named people whose record says an execution took place while recording no sentence.