Resources · Plain-English explanations
Glossary
What the words on the research pages mean, from mythemes and traditions to trees, bootstrap numbers and Mantel tests. Used mainly by the Workbench and the Phylogenetic Analysis.
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Stories and the data about them
The building blocks: what is being compared, and how it is recorded.
- Motif
- A story idea that turns up in many places, such as “the raven steals the sun”. The motifs on this site come from Yuri Berezkin’s Analytical Catalogue, and each one has a reference code such as A13a.
- Used in: Workbench · Phylogenetic Analysis
- Telling also: narrative, version
- One version of a story, as written down from one storyteller or source. A single motif can have dozens of tellings from all over the world.
- Used in: Workbench · Phylogenetic Analysis
- Tradition
- A people or group whose stories are recorded together, such as the Ainu of Japan or the Navajo of North America. The site uses the traditions in Berezkin’s catalogue, and each one has a place on the map.
- Used in: Workbench · Phylogenetic Analysis
- Mytheme
- One small building block of a story: a single event or idea, such as “the trickster hides the sun in a box”. Splitting tellings into mythemes lets us compare them fairly, a bit like comparing recipes ingredient by ingredient. The Fielder-White Mytheme Catalogue (FWMC) lists the mythemes for each motif.
- Used in: Workbench · Phylogenetic Analysis
- Mytheme list also: vocabulary
- The set of mythemes worked out for one motif. Every telling of that motif is checked against the same list. The list itself is checked automatically, and if it fails those checks, no verdict is given.
- Used in: Workbench · Phylogenetic Analysis
- Coding also: coded
- Going through a telling and recording, for each mytheme, whether it is present, absent or unknown. On this site the mythemes were recorded with the help of a computer model, and they are analysed again whenever they change.
- Used in: Workbench · Phylogenetic Analysis
- Present, absent and unknown
- Present means the telling includes the mytheme. Absent means someone checked and it is not there. Unknown means nobody could tell, for example because the text is short or damaged. Unknown is never counted as absent: missing information is not the same as a “no”.
- Used in: Workbench · Phylogenetic Analysis
- Mytheme that differs also: informative mytheme
- A mytheme that some traditions have and others do not. A mytheme that every tradition has (or that none has) cannot tell traditions apart, so it does not help to build a tree.
- Used in: Phylogenetic Analysis
- Run
- One complete pass of recording the mythemes for a motif. When a motif is recorded again it gets a new run number, and results from the older run are marked out of date.
- Used in: Workbench · Phylogenetic Analysis
- Data fingerprint
- A short code worked out from the exact data used. If anything in the data changes, the code changes too, so you can tell whether two results came from the same data.
- Used in: Phylogenetic Analysis
- Approximate location
- Some traditions cover a wide area, so their dot on the map is a rough central point rather than an exact place. These dots are drawn with a dashed or double ring, and some distance checks leave them out.
- Used in: Workbench · Phylogenetic Analysis
- Great-circle distance
- The shortest distance between two places across the curved surface of the Earth, the way a plane flies, rather than a straight line on a flat map.
- Used in: Workbench · Phylogenetic Analysis
- Documentation bias also: sampling bias
- Some traditions have many recorded tellings and others only one, mostly because of where collectors happened to work. Traditions with more tellings can look more alike just because more is known about them. The analysis checks for this.
- Used in: Phylogenetic Analysis
- Evening out also: levelling, rarefaction
- A check against documentation bias. Every tradition is cut down to the same small number of tellings, picked at random, and the test is run again many times. If the pattern survives, it is not just coming from the best-recorded traditions.
- Used in: Phylogenetic Analysis
- Sample
- A smaller set picked from all the data, for example one telling from each tradition. Repeating a test on many random samples shows how much the result depends on which tellings happened to be included.
- Used in: Workbench · Phylogenetic Analysis
Comparing tellings
Ways of measuring how alike two tellings are, and the diagrams that show it. Most of these are used in the Workbench.
- Similarity score
- A number from 0 to 1 (or 0% to 100%) showing how alike two tellings are on one measure. 0 means nothing in common and 1 means identical. A high score shows that two tellings are alike; it does not prove that one came from the other.
- Used in: Workbench
- Jaccard also: presence similarity, shared mythemes
- Compares which mythemes two tellings have. Only mythemes that were checked in both tellings count. The score is the number of mythemes both have, divided by the number that either has. If two tellings share 3 mythemes and have 6 between them, the score is 3 ÷ 6 = 0.5. A mytheme missing from both tellings adds nothing: two tellings are not called alike just because they both lack something. On the tree page, “difference in mythemes” is 1 minus this score.
- Used in: Workbench · Phylogenetic Analysis
- Order concordance also: chronology
- Looks only at the mythemes two tellings share, and asks whether they happen in the same order. It checks every pair of shared events, such as “the sun is stolen” and “the sun is set free”: does the first come before the second in both tellings? The score is the share of pairs that agree, so 1 means the same order throughout and 0 means the opposite order every time.
- Used in: Workbench
- Sequence overlap also: LCS Dice
- Lines up the full list of events in two tellings and finds the longest chain of events that appear in the same order in both, even with other events in between (the “longest common subsequence”). The score is twice the length of that chain, divided by the number of events in both tellings together. 1 means the two tellings have exactly the same events in the same order.
- Used in: Workbench
- Event pair also: comparable event pairs
- Two shared events whose order is known in both tellings. Order scores only mean something when there are enough of these: a perfect score from a single event pair tells you very little.
- Used in: Workbench
- Joint coverage also: mythemes assessed in both
- The share of the motif’s mythemes that were actually checked (present or absent, not unknown) in both tellings, for example 15 of 17. Low coverage means a score rests on very little evidence.
- Used in: Workbench
- Ranking-eligible
- A pair of tellings with enough evidence to be listed in the rankings: normally at least 6 mythemes checked in both tellings and at least 3 that both have. It is a minimum amount of evidence, not a sign that the pair is unusually alike.
- Used in: Workbench
- Similarity matrix
- A grid with every telling along the top and down the side. Each square shows how alike that pair is, with darker colours for more alike.
- Used in: Workbench
- Network
- A diagram in which each dot is a telling and lines join pairs that are alike. Thicker or darker lines mean more alike. Where a dot sits on the screen has no meaning on its own: only the lines matter.
- Used in: Workbench
- Weighted modularity also: how groups are found
- The method the Workbench uses to find groups in the network. Each telling starts in a group of its own. The two groups whose links are stronger than you would expect (given how strongly each links to everyone else) are joined, and this repeats until no join makes the groups any clearer.
- Used in: Workbench
- Ungrouped
- A telling that is not in any group: in the network, because its links are too weak, or in the dendrogram, because it does not join anything above the cutoff. Ungrouped tellings are shown as grey dots.
- Used in: Workbench
- Groups also: communities
- Sets of tellings in the network that are more strongly linked to each other than you would expect. A computer method finds them automatically, and they can change when you change the settings.
- Used in: Workbench
- Dendrogram also: hierarchical clustering
- A tree-shaped diagram that joins the most alike tellings first, then joins those groups, and so on. Cutting it at a chosen level splits the tellings into groups.
- Used in: Workbench
- Average linkage
- The rule the dendrogram uses to join groups. Two groups join at the average score of every pair of tellings between them, and only if every one of those pairs has a score.
- Used in: Workbench
- Cutoff also: minimum similarity
- A threshold you choose. Only pairs that score above it are linked or grouped. A low cutoff gives bigger, looser groups; a high one gives smaller, tighter groups.
- Used in: Workbench
- Co-occurrence
- How often two mythemes turn up in the same telling. Mythemes that keep appearing together may form a fixed episode of the story.
- Used in: Workbench
- Sequence transitions
- Which mytheme tends to come straight after which, counted across all the tellings. It shows the usual flow of the story.
- Used in: Workbench
- Median position
- Where a mytheme usually falls in a telling, from the start (0%) to the end (100%). Line up its position in every telling and take the middle one: half the tellings have it earlier and half later. Unusual tellings throw a median off less than they would an average.
- Used in: Workbench
- Percentage points also: pp
- The difference between two percentages, found by taking one from the other. If a mytheme is in 60% of one group’s tellings and 40% of another’s, the difference is 20 percentage points.
- Used in: Workbench
- Model confidence
- How sure the computer model that recorded the mythemes was about one particular coding, shown as a percentage beside the quotation it used. It is the model’s own estimate, not a check by a person.
- Used in: Workbench
Trees
The branching diagrams on the Phylogenetic Analysis page.
- Phylogenetic analysis
- Methods first made for working out the family trees of living things from their features. Here they are used on stories: traditions are compared by their mythemes and arranged into a tree of similarity. A tree of stories shows which tellings are alike; it does not by itself prove a family history.
- Used in: Phylogenetic Analysis
- Pre-Filter
- What this site’s phylogenetic analysis is for: a quick first pass over hundreds of motifs, to pick out the ones worth studying more closely. Its results are leads to follow up, not final findings.
- Used in: Phylogenetic Analysis
- Tree
- A branching diagram, like a family tree drawn on its side. Traditions that are most alike are joined first, then those groups are joined, and so on, until everything is connected.
- Used in: Phylogenetic Analysis
- Tip also: leaf
- The end of a line on the tree, marked with a dot. Each tip is one tradition. The number in brackets after a name is how many of its tellings were used.
- Used in: Phylogenetic Analysis
- Branch
- A line in the tree. Branches meet where groups of traditions join. To see how closely two tips are related on the tree, follow their branches back to where they meet.
- Used in: Phylogenetic Analysis
- Branch length
- How long a branch is. On this site, a longer branch means more difference in mythemes. Ticking “Equal branch lengths” draws every branch the same length, which makes the shape easier to read but hides how different the traditions are.
- Used in: Phylogenetic Analysis
- Group also: clade
- A point where branches join, and everything that comes off it: a set of traditions that sit together on the tree.
- Used in: Phylogenetic Analysis
- Neighbour-joining
- A quick and widely used way to build a tree. Again and again, it finds the two traditions (or groups) that are closest and joins them, until everything is connected. It is the main tree on this site.
- Used in: Phylogenetic Analysis
- Maximum likelihood
- A slower way to build a tree. The computer tries many possible trees and keeps the one that best explains how the mythemes could have been gained or lost along the branches. Groups that appear in both this tree and the neighbour-joining tree are more trustworthy.
- Used in: Phylogenetic Analysis
- Bootstrap also: reliability number, support
- A way to test how reliable each group in the tree is. The computer makes many new copies of the data by picking mythemes at random (some twice, some not at all), builds a tree from each copy, and counts how often each group appears again. That count, out of 100, is the small number where branches join. 70 or more is usually treated as fairly reliable; lower numbers are more of a guess.
- Used in: Phylogenetic Analysis
- Newick file
- A plain-text way of writing down a tree with brackets, such as ((A,B),C). Tree programs such as FigTree or iTOL can open it.
- Used in: Phylogenetic Analysis
Testing for patterns
How the pages decide whether a pattern is likely to be real or could just be chance.
- Correlation also: r, Pearson r
- A number from −1 to +1 showing how closely two things go together. +1 means they rise together perfectly, 0 means no link, and −1 means one rises as the other falls. On these pages it usually compares distance with difference: a positive r means places further apart are less alike. Pearson r is the most common kind.
- Used in: Workbench · Phylogenetic Analysis
- p-value also: p
- How likely you would be to get a result at least this strong by pure chance, if there were really no pattern. p = 0.03 means about a 3% chance. Smaller numbers are stronger evidence. A p-value is not the chance that the result is true, and it says nothing about how big the effect is.
- Used in: Workbench · Phylogenetic Analysis
- Significant
- A result whose p-value is below a chosen line, usually 0.05 (5%). It means the result would be unusual if only chance were at work. It does not mean the result is large or important.
- Used in: Workbench · Phylogenetic Analysis
- Multiple testing also: uncorrected p-values
- Run hundreds of tests and some will come out “significant” by luck alone: about 1 in 20 at the 0.05 line. The p-values on these pages are not adjusted for this, so check any single striking result carefully before relying on it.
- Used in: Workbench · Phylogenetic Analysis
- Permutation test also: shuffling, null model
- A way of finding a p-value. The computer shuffles the data many times, for example swapping which location belongs to which tradition, and counts how often a shuffled version gives a result as strong as the real one. If that rarely happens, the real pattern is unlikely to be chance. The “null model” is the starting assumption that there is no pattern at all.
- Used in: Workbench · Phylogenetic Analysis
- Null model also: no-pattern assumption
- The starting assumption that there is no real pattern, used to work out what chance alone would produce. In the Workbench’s distance test, it assumes the recorded locations could be swapped freely between traditions.
- Used in: Workbench · Phylogenetic Analysis
- One-sided test
- A test that only looks for a pattern in one direction. The Workbench’s distance test only asks whether similarity goes down with distance, so it only counts shuffles where the drop is at least as steep as the real one.
- Used in: Workbench
- Exact test and random shuffles also: Monte Carlo test
- Two ways of running a permutation test. With only a few traditions (six or fewer), every possible arrangement can be tried: an exact test. With more, there are far too many, so the computer tries 999 random shuffles instead (a Monte Carlo test) and estimates the p-value from those.
- Used in: Workbench
- Seed
- A starting number for the computer’s random shuffles. Using the same seed repeats exactly the same shuffles, so anyone can get the same result again.
- Used in: Workbench · Phylogenetic Analysis
- Mantel test also: distance test
- Compares two sets of distances between the same traditions: how far apart they are on the map, and how far apart they are on the tree. If traditions far apart on the map also tend to be far apart on the tree, the story seems to follow geography. Its p-value comes from a permutation test.
- Used in: Phylogenetic Analysis
- Partial Mantel test
- The same test, but allowing for which continent each tradition is on. If the pattern disappears, the motif differs between continents rather than fading steadily with distance.
- Used in: Phylogenetic Analysis
- Continental contrast
- When a motif is told differently on different continents, but inside each continent places further apart are no less alike.
- Used in: Phylogenetic Analysis
- Corridor also: route
- A pair of continents joined by a possible route, such as Asia and North America across the Bering Strait. The test asks whether traditions on either side are more alike than their distance would predict. Some routes are marked uncertain because researchers disagree about them.
- Used in: Phylogenetic Analysis
- Verdict
- The short summary of a motif’s analysis, such as “Follows geography” or “Too little data to judge”. It is decided by fixed rules from the test results, not by an AI, so the same data always gets the same verdict.
- Used in: Phylogenetic Analysis
A–Z list
Every word on this page, in alphabetical order.
A Approximate location Average linkage
B Bootstrap Branch Branch length
C Co-occurrence Coding Continental contrast Correlation Corridor Cutoff
D Data fingerprint Dendrogram Documentation bias
E Evening out Event pair Exact test and random shuffles
G Great-circle distance Group Groups
M Mantel test Maximum likelihood Median position Model confidence Motif Multiple testing Mytheme Mytheme list Mytheme that differs
N Neighbour-joining Network Newick file Null model
O One-sided test Order concordance
P p-value Partial Mantel test Percentage points Permutation test Phylogenetic analysis Pre-Filter Present, absent and unknown
S Sample Seed Sensitivity check Sequence overlap Sequence transitions Significant Similarity matrix Similarity score
V Verdict