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KDice Taxonomic Study Sample #1: Meet your Closest Relatives
Posted By: skrumgaer at 9:20 AM, Thursday January 29, 2009 EST
What follows is a dendrogram, or family tree, of a sample of 100 kdicers. What it intends to show is relatedness of players to each other. For any two players, the highest value of "h", or height, between them, is a measure of dissimilarity between the two. If you find yourself in the tree, offer comments on the similarities or difference between you and your "relatives".

This particular sample of 100 players is hemidemiskrumic, meaning, four equally spaced groups of 25 players spanning skrum's group (page 56 on the leaderboard) and the top group (page 1). The other intervening groups are page 37 and page 19.

From your comments and my analysis I will try to come up with a comprehensive taxonomic system for the classification of kdicers.


[Update 29 January 2009]

The stat work for this analysis was done by an online website, the official citation of is:
Wessa, P., (2008), Hierarchical Clustering (v1.0.2) in Free Statistics Software (v1.1.23-r3), Office for Research Development and Education, URL http://www.wessa.net/rwasp_hierarchicalclustering.wasp/

The Ward method was used because it minimizes variance, which is the same as saying it uses as much of the information as possible. I used the raw percentage data for first through seventh place finishes to compute these results. Since in theory we have only six independent variables, I should need to use only six of the seven levels of finishes. So I ran the data with seventh place omitted. Some of the branches got moved around, including those belonging to MadHat_Sam, moondust, and fiero600. I also did a run with fourth place, instead of seventh place, removed. In theory the results should be the same no matter which place was removed, but such did not turn out to be the case. There is a greater variance in fourth place finishes than seventh place. Though fourth place makes the least contribution to overall kdice score, it can be argued that two players who have significantly different percentages for fourth, though their other percentages show similar shapes, have different playing styles and should be classified as different.

One source of error in the data is the truncation of the percentages by Ryan. This leads to a range in percentage sums from 95% to 100% for all seven places. To correct for this, I did a run with all seven places, but normalized by player percentage sum. This supposedly minor adjustment rearranged many of the minor branches of the trees, but left the leaf pairings undisturbed. Conclusion: the data must be normalized.

[end 29 January update]

Run with all seven places of finish, unnormalized:

--[dendrogram w/ 2 branches and 100 members at h = 1.39]
|--[dendrogram w/ 2 branches and 6 members at h = 0.371]
| |--[dendrogram w/ 2 branches and 3 members at h = 0.238]
| | |--leaf "boilerjon"
| | `--[dendrogram w/ 2 branches and 2 members at h = 0.169]
| | |--leaf "pulver toast man"
| | `--leaf "jimmcguinn"
| `--[dendrogram w/ 2 branches and 3 members at h = 0.323]
| |--leaf "YevgenyBk"
| `--[dendrogram w/ 2 branches and 2 members at h = 0.199]
| |--leaf "hjdfgeteyr"
| `--leaf "jim2674"
`--[dendrogram w/ 2 branches and 94 members at h = 1.29]
|--[dendrogram w/ 2 branches and 41 members at h = 0.631]
| |--[dendrogram w/ 2 branches and 13 members at h = 0.44]
| | |--[dendrogram w/ 2 branches and 3 members at h = 0.197]
| | | |--leaf "fiero600"
| | | `--[dendrogram w/ 2 branches and 2 members at h = 0.119]
| | | |--leaf "jurlyk"
| | | `--leaf "Pharao"
| | `--[dendrogram w/ 2 branches and 10 members at h = 0.226]
| | |--[dendrogram w/ 2 branches and 4 members at h = 0.129]
| | | |--leaf "komando80"
| | | `--[dendrogram w/ 2 branches and 3 members at h = 0.0697]
| | | |--leaf "Akila"
| | | `--[dendrogram w/ 2 branches and 2 members at h = 0.0424]
| | | |--leaf "mmmboobies"
| | | `--leaf "mangoo"
| | `--[dendrogram w/ 2 branches and 6 members at h = 0.199]
| | |--leaf "aardvarks"
| | `--[dendrogram w/ 2 branches and 5 members at h = 0.143]
| | |--leaf "Pifi"
| | `--[dendrogram w/ 2 branches and 4 members at h = 0.103]
| | |--[dendrogram w/ 2 branches and 2 members at h = 0.0648]
| | | |--leaf "brisk"
| | | `--leaf "skrumgaer"
| | `--[dendrogram w/ 2 branches and 2 members at h = 0.0671]
| | |--leaf "lala123456"
| | `--leaf "Mirabilis"
| `--[dendrogram w/ 2 branches and 28 members at h = 0.544]
| |--[dendrogram w/ 2 branches and 11 members at h = 0.272]
| | |--[dendrogram w/ 2 branches and 5 members at h = 0.128]
| | | |--[dendrogram w/ 2 branches and 3 members at h = 0.0556]
| | | | |--leaf "fcuku"
| | | | `--[dendrogram w/ 2 branches and 2 members at h = 0.0436]
| | | | |--leaf "Gdott"
| | | | `--leaf "Dr Leech"
| | | `--[dendrogram w/ 2 branches and 2 members at h = 0.0632]
| | | |--leaf "beyazguvercinus"
| | | `--leaf "GG.Schönebörger"
| | `--[dendrogram w/ 2 branches and 6 members at h = 0.136]
| | |--leaf "eurasianbro"
| | `--[dendrogram w/ 2 branches and 5 members at h = 0.127]
| | |--[dendrogram w/ 2 branches and 3 members at h = 0.0648]
| | | |--leaf "MsCat"
| | | `--[dendrogram w/ 2 branches and 2 members at h = 0.049]
| | | |--leaf "ji-jo"
| | | `--leaf "Luin"
| | `--[dendrogram w/ 2 branches and 2 members at h = 0.0825]
| | |--leaf "mr Kruezfeld"
| | `--leaf "Moroccan Jasmine"
| `--[dendrogram w/ 2 branches and 17 members at h = 0.418]
| |--[dendrogram w/ 2 branches and 9 members at h = 0.179]
| | |--[dendrogram w/ 2 branches and 3 members at h = 0.106]
| | | |--leaf "Shevar"
| | | `--[dendrogram w/ 2 branches and 2 members at h = 0.0624]
| | | |--leaf "lesplaydices"
| | | `--leaf "jpc4p"
| | `--[dendrogram w/ 2 branches and 6 members at h = 0.145]
| | |--[dendrogram w/ 2 branches and 2 members at h = 0.0361]
| | | |--leaf "cnkcnk"
| | | `--leaf "Raubritter"
| | `--[dendrogram w/ 2 branches and 4 members at h = 0.0704]
| | |--[dendrogram w/ 2 branches and 2 members at h = 0.04]
| | | |--leaf "pityu"
| | | `--leaf "Shondven"
| | `--[dendrogram w/ 2 branches and 2 members at h = 0.049]
| | |--leaf "chaiNblade"
| | `--leaf "maurum"
| `--[dendrogram w/ 2 branches and 8 members at h = 0.201]
| |--[dendrogram w/ 2 branches and 5 members at h = 0.155]
| | |--leaf "matt 1234"
| | `--[dendrogram w/ 2 branches and 4 members at h = 0.11]
| | |--[dendrogram w/ 2 branches and 2 members at h = 0.0436]
| | | |--leaf "PsykomanT"
| | | `--leaf "IhlieDaily"
| | `--[dendrogram w/ 2 branches and 2 members at h = 0.0557]
| | |--leaf "GreGGWar"
| | `--leaf "ZOUILLE95850"
| `--[dendrogram w/ 2 branches and 3 members at h = 0.172]
| |--leaf "timmm"
| `--[dendrogram w/ 2 branches and 2 members at h = 0.107]
| |--leaf "Friedz"
| `--leaf "itrecal"
`--[dendrogram w/ 2 branches and 53 members at h = 0.998]
|--[dendrogram w/ 2 branches and 45 members at h = 0.59]
| |--[dendrogram w/ 2 branches and 13 members at h = 0.329]
| | |--[dendrogram w/ 2 branches and 7 members at h = 0.152]
| | | |--[dendrogram w/ 2 branches and 4 members at h = 0.0777]
| | | | |--[dendrogram w/ 2 branches and 2 members at h = 0.0412]
| | | | | |--leaf "Orlafede"
| | | | | `--leaf "miki00"
| | | | `--[dendrogram w/ 2 branches and 2 members at h = 0.051]
| | | | |--leaf "aurian7"
| | | | `--leaf "MudDobber"
| | | `--[dendrogram w/ 2 branches and 3 members at h = 0.109]
| | | |--leaf "Albert C"
| | | `--[dendrogram w/ 2 branches and 2 members at h = 0.0787]
| | | |--leaf "hatty"
| | | `--leaf "PJDev"
| | `--[dendrogram w/ 2 branches and 6 members at h = 0.160]
| | |--[dendrogram w/ 2 branches and 4 members at h = 0.102]
| | | |--[dendrogram w/ 2 branches and 2 members at h = 0.064]
| | | | |--leaf "topare"
| | | | `--leaf "The Chode"
| | | `--[dendrogram w/ 2 branches and 2 members at h = 0.0781]
| | | |--leaf "cwwyatt"
| | | `--leaf "goJoin.com"
| | `--[dendrogram w/ 2 branches and 2 members at h = 0.111]
| | |--leaf "Big Jumblies"
| | `--leaf "Revilo"
| `--[dendrogram w/ 2 branches and 32 members at h = 0.415]
| |--[dendrogram w/ 2 branches and 16 members at h = 0.239]
| | |--[dendrogram w/ 2 branches and 3 members at h = 0.0864]
| | | |--leaf "Tunzy"
| | | `--[dendrogram w/ 2 branches and 2 members at h = 0.0574]
| | | |--leaf "janLOL"
| | | `--leaf "rodelo"
| | `--[dendrogram w/ 2 branches and 13 members at h = 0.175]
| | |--[dendrogram w/ 2 branches and 9 members at h = 0.107]
| | | |--[dendrogram w/ 2 branches and 4 members at h = 0.0864]
| | | | |--leaf "Egle"
| | | | `--[dendrogram w/ 2 branches and 3 members at h = 0.0533]
| | | | |--leaf "riesi1904"
| | | | `--[dendrogram w/ 2 branches and 2 members at h = 0.0332]
| | | | |--leaf "idnera"
| | | | `--leaf "Matt Braun"
| | | `--[dendrogram w/ 2 branches and 5 members at h = 0.0911]
| | | |--[dendrogram w/ 2 branches and 3 members at h = 0.0432]
| | | | |--leaf "ma1achi"
| | | | `--[dendrogram w/ 2 branches and 2 members at h = 0.04]
| | | | |--leaf "Who am I ?"
| | | | `--leaf "mrmot"
| | | `--[dendrogram w/ 2 branches and 2 members at h = 0.0566]
| | | |--leaf "potato27"
| | | `--leaf "bsn"
| | `--[dendrogram w/ 2 branches and 4 members at h = 0.145]
| | |--leaf "baloo"
| | `--[dendrogram w/ 2 branches and 3 members at h = 0.0432]
| | |--leaf "Mitsi the cat"
| | `--[dendrogram w/ 2 branches and 2 members at h = 0.04]
| | |--leaf "jbw"
| | `--leaf "nyos"
| `--[dendrogram w/ 2 branches and 16 members at h = 0.279]
| |--[dendrogram w/ 2 branches and 10 members at h = 0.171]
| | |--[dendrogram w/ 2 branches and 3 members at h = 0.0867]
| | | |--leaf "last place"
| | | `--[dendrogram w/ 2 branches and 2 members at h = 0.06]
| | | |--leaf "fatboy98"
| | | `--leaf "gereffi"
| | `--[dendrogram w/ 2 branches and 7 members at h = 0.0942]
| | |--[dendrogram w/ 2 branches and 4 members at h = 0.0525]
| | | |--[dendrogram w/ 2 branches and 2 members at h = 0.03]
| | | | |--leaf "Leek Step"
| | | | `--leaf "Takadade"
| | | `--[dendrogram w/ 2 branches and 2 members at h = 0.0361]
| | | |--leaf "Pat Whalen"
| | | `--leaf "1HAPPYBOY"
| | `--[dendrogram w/ 2 branches and 3 members at h = 0.0653]
| | |--leaf "shadolin"
| | `--[dendrogram w/ 2 branches and 2 members at h = 0.0436]
| | |--leaf "habit1"
| | `--leaf "Mr.-T"
| `--[dendrogram w/ 2 branches and 6 members at h = 0.255]
| |--[dendrogram w/ 2 branches and 2 members at h = 0.052]
| | |--leaf "MadHat_Sam"
| | `--leaf "eeeekekekeke"
| `--[dendrogram w/ 2 branches and 4 members at h = 0.135]
| |--[dendrogram w/ 2 branches and 2 members at h = 0.04]
| | |--leaf "Easy A"
| | `--leaf "Art54"
| `--[dendrogram w/ 2 branches and 2 members at h = 0.0707]
| |--leaf "ACG"
| `--leaf "Vinter"
`--[dendrogram w/ 2 branches and 8 members at h = 0.735]
|--[dendrogram w/ 2 branches and 2 members at h = 0.396]
| |--leaf "smumustang"
| `--leaf "Zete02"
`--[dendrogram w/ 2 branches and 6 members at h = 0.401]
|--[dendrogram w/ 2 branches and 3 members at h = 0.159]
| |--leaf "moondust"
| `--[dendrogram w/ 2 branches and 2 members at h = 0.107]
| |--leaf "ropat"
| `--leaf "arwesome"
`--[dendrogram w/ 2 branches and 3 members at h = 0.268]
|--leaf "yay"
`--[dendrogram w/ 2 branches and 2 members at h = 0.0927]
|--leaf "gawron"
`--leaf "ImagoDei"

Replies 1 - 10 of 24 Next › Last »
chaiNblade wrote
at 5:55 PM, Monday January 26, 2009 EST
Hmm

| | `--[dendrogram w/ 2 branches and 2 members at h = 0.049]
| | |--leaf "chaiNblade"
| | `--leaf "maurum"

So.. what exactly does this mean?
skrumgaer wrote
at 6:16 PM, Monday January 26, 2009 EST
It means that you and maurum have similarly shaped percentage profiles: sort of like a cassowary or a long-necked camel.
chaiNblade wrote
at 6:24 PM, Monday January 26, 2009 EST
These stats include.. dom, %rank, kills, ...?
Pretty cool, nicely done.
moondust wrote
at 7:36 PM, Monday January 26, 2009 EST
hey skrum,
I guess I still don't fit in any particular category, right?
DrRed76 wrote
at 8:25 PM, Monday January 26, 2009 EST
Do the two sides of the tree neatly fit into most points form tourneys and most points form reg tables, by any chance or is it something else.
skrumgaer wrote
at 2:00 AM, Tuesday January 27, 2009 EST
The stats are place of finish percentages only, and those only from regular games. The first part of the tree (the first main branch with 6 members) might be designated primitive forms: these players have not played many games.
skrumgaer wrote
at 2:15 AM, Tuesday January 27, 2009 EST
moondust's major branch of the tree (at the bottom with 8 members) also appears to be a collection of primitive forms, with moon being like a humped caterpillar with a sting.
Cal Ripken wrote
at 8:14 AM, Tuesday January 27, 2009 EST
so les and I are brothers?
MadHat_Sam wrote
at 9:51 AM, Tuesday January 27, 2009 EST
So what am I? Velociraptor? Or something much less cool?
Carlisle wrote
at 10:13 AM, Tuesday January 27, 2009 EST
where's me on this list? :)
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