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Author Topic: Dominion Data Mining: Card Rankings  (Read 36221 times)

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ben_king

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Dominion Data Mining: Card Rankings
« on: January 05, 2015, 04:35:56 pm »
+40

Everybody loves the card rankings that Qvist puts out, but I've always secretly wondered how these lists compare to the way the top players really play the cards.

So I've collected over 90,000 game logs of the top 100 Dominion players on the Isotrophish rankings (2-player, pro rating, no bots) and analyzed them to determine how the best players in the world approach the cards.  Obviously there are a lot of differing opinions on the best way to determine which of two cards is better.  The method I've chosen is to measure the percentage of kingdoms containing card X where the top-100 player gains card X.  If card X really is one of the best cards, then it should be bought on almost every kingdom where it is available.  The nice thing about measuring cards this way is that it puts cards like Cultist (where you usually want as many as possible) and Chapel (where you usually only want one) on equal footing.

The list below orders the cards by how often they are gained.  In the next couple posts, I'm planning on splitting these by cost and comparing them to Qvist's card lists.

RankCard% games gained# games gained# games available
1Tournament95.4%74677825
2Governor93.0%24172598
3Border Village89.3%67087512
4Fishing Village89.2%70067854
5Wharf89.0%70927965
6Forager88.7%70947999
7Goons88.4%70537979
8Masquerade87.7%70318015
9Chapel87.6%84089596
10Ironmonger87.2%69477970
11Mountebank86.9%67577779
12Ambassador83.6%67578078
13Squire83.4%64527732
14Hamlet83.2%65647892
15Plaza82.7%59537196
16Warehouse82.6%66748084
17Hunting Party81.1%62467705
18Candlestick Maker80.9%58597242
19King's Court80.8%62767769
20Black Market80.6%27293386
21Minion80.1%62527807
22Wandering Minstrel79.4%62157828
23Crossroads79.2%61127713
24Swindler79.1%64478147
25Cultist79.0%61037730
26Market Square78.9%61627813
27Nobles78.8%62847978
28Caravan78.3%60297698
29Hermit78.3%62327964
30Counterfeit78.2%61077805
31Worker's Village77.8%60557778
32Steward77.7%62828083
33Menagerie77.7%61007854
34Urchin77.1%61267947
35City77.0%61467985
36Butcher76.5%53176954
37Witch76.4%71239323
38Grand Market75.8%61798156
39Scheme75.6%60167954
40Remake75.2%56897566
41JackOfAllTrades74.9%59297911
42Upgrade74.9%60058013
43Lighthouse74.4%58777898
44Rebuild74.4%58007800
45Herald74.3%53157153
46Shanty Town73.9%59968118
47Peddler72.8%56497755
48Junk Dealer72.5%57927984
49Spice Merchant72.1%55497692
50Knights71.8%55307698
51Stables71.8%56687896
52Courtyard71.7%57418005
53Tunnel71.3%56407913
54Island70.9%55947891
55Festival70.7%65349245
56Throne Room70.5%65179241
57Margrave70.4%54857793
58Highway70.0%54517791
59Haggler69.5%53827744
60Laboratory69.1%62349018
61Great Hall69.1%58048397
62Conspirator69.0%54387880
63Fool's Gold68.2%54157936
64Fortress68.1%53167807
65Oasis68.0%53057798
66Salvager68.0%53577880
67Baker67.5%48247150
68Scrying Pool67.4%51427634
69Cellar67.3%64189533
70Bazaar67.2%53267930
71Village67.1%63549464
72Apprentice66.8%51057643
73Mining Village66.2%52647952
74Tactician66.2%52147879
75Stonemason66.2%48837381
76Haven65.8%51527830
77Farming Village65.8%51037760
78Marauder65.7%50867739
79Vagrant65.5%53508164
80Bridge65.5%52037946
81Bandit Camp65.2%52798096
82Soothsayer65.0%46177100
83University64.9%49197574
84Sea Hag64.7%50687829
85Pawn63.7%49757807
86Militia62.8%57509161
87Horse Traders62.7%49727933
88Monument62.2%50018044
89Inn61.7%48167810
90Watchtower61.5%49167990
91Market61.3%57209327
92Native Village61.2%47817814
93Gardens60.6%56209271
94Walled Village60.6%7971315
95Familiar60.0%45537592
96Torturer59.9%46637782
97Ill-Gotten Gains59.9%45917664
98Ironworks59.9%48328073
99Count59.8%46077700
100Altar59.7%47267916
101Ghost Ship58.6%45507760
102Hoard58.2%47658182
103Bishop57.9%45987935
104Quarry56.8%44707876
105Sage56.6%45177987
106Lookout56.0%44207888
107Merchant Guild55.5%38696972
108Wishing Well55.4%45048126
109Farmland54.6%42637812
110Doctor54.6%38877124
111Remodel54.2%50889394
112Trade Route54.1%43668070
113Alchemist52.9%39867534
114Silk Road52.7%40947772
115Young Witch52.6%40297666
116Jester52.5%40237658
117Moneylender51.9%49179466
118Smugglers51.0%40667965
119Advisor50.7%36097115
120Pearl Diver50.2%40218014
121Embassy48.7%37347669
122Embargo48.4%39028059
123Expand48.4%38487957
124Smithy48.1%44919341
125Cartographer47.9%36237556
126Storeroom47.8%38067958
127Duke47.7%37317823
128Council Room47.7%44449326
129Fairgrounds47.5%37497892
130Rabble47.3%37017832
131Vineyard47.2%35787588
132Apothecary47.1%35707575
133Harem46.7%36877902
134Vault46.6%36777888
135Catacombs46.4%35687685
136Mint46.1%36557936
137Trading Post45.3%35857907
138Band of Misfits45.2%34577646
139Hunting Grounds45.0%35157805
140Scavenger44.9%35707958
141Oracle44.9%35217849
142Treasury44.2%34247743
143Horn of Plenty44.0%34097750
144Forge43.9%34967970
145Moat43.7%41609516
146Trader43.7%33527676
147Prince43.4%289666
148Envoy43.1%7951843
149Journeyman42.2%30057129
150Baron41.7%33307984
151Nomad Camp41.2%31657686
152Loan41.0%33338127
153Golem40.4%30327503
154Feodum40.4%31027687
155Duchess40.1%31177773
156Possession37.8%28157452
157Procession37.7%29077714
158Mystic37.5%29267806
159Bank36.9%30118149
160Develop36.4%29007965
161Workshop35.3%32869319
162Cutpurse34.9%27197791
163Library34.6%32429358
164Armory34.6%27427935
165Rats34.4%26967843
166Rogue33.2%25207588
167Venture33.2%26578002
168Poor House32.0%25217871
169Pillage30.7%24027815
170Graverobber30.7%23817752
171Fortune Teller29.7%23547919
172Outpost29.6%23447906
173Beggar29.4%23067840
174Feast29.3%26839159
175Death Cart29.2%22877828
176Talisman28.8%22927959
177Merchant Ship28.7%22787931
178Spy28.4%26219243
179Woodcutter27.6%26229506
180Herbalist26.2%20617877
181Secret Chamber25.6%21058235
182Taxman25.4%18087114
183Noble Brigand24.9%19397784
184Masterpiece24.6%17977309
185Tribute23.5%18157739
186Saboteur20.7%16057772
187Navigator19.3%14847692
188Explorer18.7%14897943
189Royal Seal18.7%14917994
190Stash16.9%3061811
191Mine16.7%15729431
192Treasure Map16.2%12947972
193Mandarin16.0%12777998
194Chancellor13.7%13059512
195Bureaucrat13.3%12519395
196Pirate Ship12.9%9957705
197Philosopher's Stone12.1%9077518
198Scout11.2%8687739
199Cache11.2%8547627
200Contraband10.9%8657960
201Coppersmith10.2%7867734
202Harvest9.7%7597859
203Thief8.5%7779188
204Counting House8.3%6607916
205Transmute7.6%5847661
206Adventurer7.4%6849278
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ben_king

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$1 and $2 cost cards
« Reply #1 on: January 05, 2015, 04:37:05 pm »
+2

$1 and $2 cost cards

RankCard+/- vs. Qvist% games gained# games gained# games available
1Chapel087.6%84089596
2Squire+383.4%64527732
3Hamlet+183.2%65647892
4Candlestick Maker+380.9%58597242
5Crossroads+479.2%61127713
6Lighthouse074.4%58777898
7Courtyard-471.7%57418005
8Fool's Gold-668.2%54157936
9Cellar+467.3%64189533
10Stonemason-266.2%48837381
11Haven+165.8%51527830
12Vagrant+465.5%53508164
13Pawn-563.7%49757807
14Native Village-461.2%47817814
15Pearl Diver+550.2%40218014
16Embargo-248.4%39028059
17Moat043.7%41609516
18Duchess+340.1%31177773
19Poor House-432.0%25217871
20Beggar-229.4%23067840
21Herbalist-226.2%20617877
22Secret Chamber025.6%21058235
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ben_king

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$3 cost cards
« Reply #2 on: January 05, 2015, 04:37:35 pm »
+3

$3 cost cards

RankCard+/- vs. Qvist% games gained# games gained# games available
1Fishing Village+289.2%70067854
2Forager+588.7%70947999
3Masquerade-287.7%70318015
4Ambassador-283.6%67578078
5Warehouse+582.6%66748084
6Black Market+1280.6%27293386
7Swindler-279.1%64478147
8Market Square+578.9%61627813
9Hermit078.3%62327964
10Steward-677.7%62828083
11Menagerie-577.7%61007854
12Urchin-177.1%61267947
13Scheme-175.6%60167954
14Shanty Town+973.9%59968118
15Tunnel+271.3%56407913
16Great Hall+1669.2%58048397
17Oasis+268.0%53057798
18Village-467.1%63549464
19Watchtower-1161.5%49167990
20Sage+556.6%45177987
21Lookout056.0%44207888
22Wishing Well+255.4%45048126
23Doctor-754.6%38877124
24Trade Route+354.1%43668070
25Smugglers+151.0%40667965
26Storeroom-647.8%38067958
27Oracle-1244.9%35217849
28Loan041.0%33338127
29Develop+236.4%29007965
30Workshop035.3%32869319
31Fortune Teller-229.7%23547919
32Woodcutter+127.6%26229506
33Masterpiece-1124.6%17977309
34Chancellor013.7%13059512
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ben_king

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$4 cost cards
« Reply #3 on: January 05, 2015, 04:38:07 pm »
+3

$4 cost cards

RankCard+/- vs. Qvist% games gained# games gained# games available
1Tournament+195.4%74677825
2Ironmonger+387.2%69477970
3Plaza+1382.7%59537196
4Wandering Minstrel+379.4%62157828
5Caravan+778.3%60297698
6Worker's Village+877.8%60557778
7Remake-475.2%56897566
8JackOfAllTrades-474.9%59297911
9Herald+974.3%53157153
10Spice Merchant+572.1%55497692
11Island+2670.9%55947891
12Throne Room+570.5%65179241
13Conspirator+769.0%54387880
14Fortress+1668.1%53167807
15Salvager+668.0%53577880
16Mining Village+1766.2%52647952
17Farming Village+1165.8%51037760
18Marauder-565.7%50867739
19Bridge-965.5%52037946
20Sea Hag-1964.7%50687829
21Militia-1162.8%57509161
22Horse Traders+262.7%49727933
23Monument-1562.2%50018044
24Gardens+560.6%56209271
25Walled Village+1860.6%7971315
26Ironworks-459.9%48328073
27Bishop-1657.9%45987935
28Quarry-556.8%44707876
29Remodel+554.2%50889394
30Silk Road+152.7%40947772
31Young Witch-3052.6%40297666
32Moneylender-651.9%49179466
33Advisor+650.7%36097115
34Smithy-1548.1%44919341
35Scavenger-1044.9%35707958
36Trader+243.7%33527676
37Envoy-1043.1%7951843
38Baron-241.7%33307984
39Nomad Camp+741.2%31657686
40Feodum+240.3%31027687
41Procession-637.7%29077714
42Cutpurse-1034.9%27197791
43Armory-234.6%27427935
44Rats+334.4%26967843
45Feast+1029.3%26839159
46Death Cart-629.2%22877828
47Talisman+128.8%22927959
48Spy+328.4%26219243
49Taxman-425.4%18087114
50Noble Brigand-624.9%19397784
51Navigator+119.3%14847692
52Treasure Map+116.2%12947972
53Bureaucrat-313.3%12519395
54Pirate Ship-512.9%9957705
55Scout+211.2%8687739
56Coppersmith-210.2%7867734
57Thief-18.5%7779188
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ben_king

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$5 cost cards
« Reply #4 on: January 05, 2015, 04:38:54 pm »
+3

$5 cost cards

RankCard+/- vs. Qvist% games gained# games gained# games available
1Governor+793.0%24172598
2Wharf+189.0%70927965
3Mountebank-286.9%67577779
4Hunting Party+281.1%62467705
5Minion+480.1%62527807
6Cultist-279.0%61037730
7Counterfeit+578.2%61077805
8City+2977.0%61467985
9Butcher+1276.4%53176954
10Witch-576.4%71239323
11Upgrade+474.9%60058013
12Rebuild-1074.4%58007800
13Junk Dealer-272.5%57927984
14Knights+1371.8%55307698
15Stables+771.8%56687896
16Festival+2270.7%65349245
17Margrave-370.4%54857793
18Highway+770.0%54517791
19Haggler1969.5%53827744
20Laboratory069.1%62349018
21Baker+267.5%48247150
22Bazaar+667.2%53267930
23Apprentice-666.8%51057643
24Tactician-866.2%52147879
25Bandit Camp+565.2%52798096
26Soothsayer-865.0%46177100
27Inn+1661.7%48167810
28Market+1261.3%57209327
29Torturer-2159.9%46637782
30Ill-Gotten Gains-2059.9%45917664
31Count+159.8%46077700
32Ghost Ship-2058.6%45507760
33Merchant Guild+855.5%38696972
34Jester052.5%40237658
35Embassy-1148.7%37347669
36Cartographer+347.9%36237556
37Duke-1147.7%37317823
38Council Room+447.7%44449326
39Rabble-647.3%37017832
40Vault-1146.6%36777888
41Catacombs-546.4%35687685
42Mint+1146.1%36557936
43Trading Post+645.3%35857907
44Band of Misfits045.2%34577646
45Treasury+344.2%34247743
46Horn of Plenty-1544.0%34097750
47Journeyman-1242.2%30057129
48Mystic-237.5%29267806
49Library-434.6%32429358
50Rogue+433.2%25207588
51Venture-133.2%26578002
52Pillage-130.7%24027815
53Graverobber-130.7%23817752
54Outpost+229.6%23447906
55Merchant Ship-828.7%22787931
56Tribute-123.5%18157739
57Saboteur+420.7%16057772
58Explorer018.7%14897943
59Royal Seal+118.7%14917994
60Stash+216.9%3061811
61Mine-216.7%15729431
62Mandarin-516.0%12777998
63Cache+111.2%8547627
64Contraband-110.9%8657960
65Harvest09.7%7597859
66Counting House08.3%6607916
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ben_king

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$6+ cost cards
« Reply #5 on: January 05, 2015, 04:39:42 pm »
+3

$6+ cost cards

RankCard+/- vs. Qvist% games gained# games gained# games available
1Border Village+389.3%67087512
2Goons088.4%70537979
3King's Court-280.8%62767769
4Nobles+278.8%62847978
5Grand Market-275.8%61798156
6Peddler+172.8%56497755
7Altar-259.7%47267916
8Hoard+158.2%47658182
9Farmland+654.6%42637812
10Expand+448.4%38487957
11Fairgrounds-347.5%37497892
12Harem+146.7%36877902
13Hunting Grounds-345.0%35157805
14Forge-243.9%34967970
15Princen/a43.4%289666
16Bank-536.9%30118149
17Adventurer-17.3%6849278
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ben_king

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Potion cost cards
« Reply #6 on: January 05, 2015, 04:40:14 pm »
+3

Potion cost cards

RankCard+/- vs. Qvist% games gained# games gained# games available
1Scrying Pool067.3%51427634
2University+464.9%49197574
3Familiar-160.0%45537592
4Alchemist052.9%39867534
5Vineyard-247.2%35787588
6Apothecary-147.1%35707575
7Golem040.4%30327503
8Possession037.8%28157452
9Philosopher's Stone012.1%9077518
10Transmute07.6%5847661
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Prizes
« Reply #7 on: January 05, 2015, 04:40:40 pm »
+3

Prizes

RankCard+/- vs. Qvist% games gained# games gained# games available
1Followers043.1%33727825
2Trusty Steed043.1%33697825
3Princess030.7%24027825
4Bag of Gold018.9%14797825
5Diadem015.8%12407825
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Re: Dominion Data Mining: Card Rankings
« Reply #8 on: January 05, 2015, 04:50:30 pm »
+1

Do you distinguish between voluntary gain and forced gain (i.e., Swindler)?  Doubt it'll have much impact but mostly just curious.  Throwing in the base cards (Copper, Curse, Estate, etc.) might be interesting too.
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Re: Dominion Data Mining: Card Rankings
« Reply #9 on: January 05, 2015, 04:52:38 pm »
+1

Thanks for doing this! It's always fun to see this kind of stuff!

One issue with this particular analysis at least in terms of comparing it to Qvist's lists is that how often you gain a cards is not the same as how good you think it is. For example, cards you buy in the late game, like VP cards you may buy in a lot of games, but for not much impact, since you never actually draw the card.

The couple obvious major trends I see are:
1. Villages are much higher than ranked. I think this is because people don't think of the villages as being that important. There are so many villages and they are all about the same. But really, they are really important most of the time they show up.
2. Some attacks are much lower than ranked. The attacks feel super important because they affect the way you approach the game, but a lot of the time, you don't actually need to buy the attack. It's role was really just to discourage certain strategies (in particular strategies that don't build enough before greening to withstand the potential attack).
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Mic Qsenoch

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Re: Dominion Data Mining: Card Rankings
« Reply #10 on: January 05, 2015, 04:55:31 pm »
0

It's worth keeping in mind that Qvist's lists include a lot of rankings from players not in the top 100. He puts some weight based on player rank but I don't know what the formula is.
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Re: Dominion Data Mining: Card Rankings
« Reply #11 on: January 05, 2015, 05:02:19 pm »
0

There are also some cards that are very board-sensitive. Torturer is a good example; it's really good when there are Villages and nothing special when there aren't, so it's bought only some of the time. But when it's good, it's really good, and the Qvist rankings are basing its place on that.
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Re: Dominion Data Mining: Card Rankings
« Reply #12 on: January 05, 2015, 05:05:46 pm »
0

Do you distinguish between voluntary gain and forced gain (i.e., Swindler)?  Doubt it'll have much impact but mostly just curious.  Throwing in the base cards (Copper, Curse, Estate, etc.) might be interesting too.

I don't currently have a way of differentiating those two simply from the information in the logs, especially because sometimes the forced gain is desired, a la Border Village or Catacombs.  But I expect that the effect is quite minor, especially since the majority of forced gains in attacks are with base cards.
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Re: Dominion Data Mining: Card Rankings
« Reply #13 on: January 05, 2015, 05:21:35 pm »
+1

All the copper cards are underrated, apothecary and cache the most criminally. Cache is below scout and apothecary is below 131 other cards... copper is an excellent card, people!

Edit: for games with 2 top 100 players, did you count both?
« Last Edit: January 05, 2015, 05:25:13 pm by liopoil »
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Re: Dominion Data Mining: Card Rankings
« Reply #14 on: January 05, 2015, 05:22:22 pm »
+1

One big effect you have to bear in mind is that some cards are ones you can easily add in to a deck, or which can feature in lots of different strategies in small ways - for example, most cantrips. Others, such as many terminals, tend to be bought because they're more important and significant.

Have a look at which cards have gained and which have lost places. There's exceptions, obviously, but mostly non-terminals (and especially cantrips) have gained places, while terminals have lost them.
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...spin-offs are still better for all of the previously cited reasons.
But not strictly better, because the spinoff can have a different cost than the expansion.

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Re: Dominion Data Mining: Card Rankings
« Reply #15 on: January 05, 2015, 05:26:36 pm »
+6

I don't know what the formula is.

Let's ask AI!
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Re: Dominion Data Mining: Card Rankings
« Reply #16 on: January 05, 2015, 05:31:25 pm »
0

How many different kingdom cards are bought on average? Looks like 5 or 6. Also looks like only about say 15% of boards are BM boards, given the frequency that cards that are always bad in BM are bought.
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Re: Dominion Data Mining: Card Rankings
« Reply #17 on: January 05, 2015, 05:37:28 pm »
+3

Have a look at which cards have gained and which have lost places. There's exceptions, obviously, but mostly non-terminals (and especially cantrips) have gained places, while terminals have lost them.
Biggest gains:

$1/2 Pearl Diver +5
$3 Great Hall +16
$4 Island +26
$5 City +29
$6+ Farmland +6
$P University +4

Everything in that list is either a non-terminal or a victory card, and Great Hall is both.

Biggest losses:

$2 Fool's Gold -6
$3 Oracle -12
$4 Young Witch -30
$5 Torturer -21
$6+ Bank -5
$P Vineyard -2

Three terminal Attacks, two kingdom treasures and Vineyard.
 
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Re: Dominion Data Mining: Card Rankings
« Reply #18 on: January 05, 2015, 05:37:54 pm »
+2

Just doing some quick and dirty analysis, I worked out the average number of ranks gained by being (non) terminal with this method, and got the following numbers:

Non terminals gained ~4.3 ranks
Terminals lost ~2.8 ranks

So that one simple fact accounts for quite a bit. Like I said, this analysis was very quick and I make a lot of simplifications (I ignored all victory and treasure cards, as well as some, uh, variably terminal cards like Throne Room or Tribute, without removing the ranks they affected, and I'm using all the cards (except potion costs) when there's different numbers of cards of each cost, which messes things around) - but I think the point it makes is clear. Or perhaps it isn't. You could argue that people, on the whole, undervalue non-terminals... but I'd say it's just that non-terminals are easier to fit into more decks, and can be bought in larger quantities more easily.
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...spin-offs are still better for all of the previously cited reasons.
But not strictly better, because the spinoff can have a different cost than the expansion.

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Re: Dominion Data Mining: Card Rankings
« Reply #19 on: January 05, 2015, 05:43:48 pm »
0

Non terminals gained ~4.3 ranks
Terminals lost ~2.8 ranks
Villages probably gained even more than the ~4.3 they get for being non-terminal; there are only two that lost (Native Village and Village).
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Re: Dominion Data Mining: Card Rankings
« Reply #20 on: January 05, 2015, 05:45:33 pm »
0

I don't know what the formula is.

Let's ask AI!

He wouldn't know! Because I'm talking about the formula Qvist uses to create his ranking list, he weights votes based on iso level.
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Re: Dominion Data Mining: Card Rankings
« Reply #21 on: January 05, 2015, 05:57:43 pm »
+14

I don't know what the formula is.

Let's ask AI!

He wouldn't know! Because I'm talking about the formula Qvist uses to create his ranking list, he weights votes based on iso level.
Yes. AI is well known for having reverse-engineered the goko rating system which supposedly "can't be put into a formula". Awaclus is referencing that, saying that AI could reverse-engineer the formula Qvist uses to create his ranking lists. This is funny because one would not normally ask AI about Qvist's list; you would just ask Qvist. Now you can surely better appreciate Awaclus' joke because I have explained it to you.
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Re: Dominion Data Mining: Card Rankings
« Reply #22 on: January 05, 2015, 06:01:00 pm »
0

I'm rather surprised that Plaza is the most bought Guilds card.
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Re: Dominion Data Mining: Card Rankings
« Reply #23 on: January 05, 2015, 06:01:23 pm »
0

I don't know what the formula is.

Let's ask AI!

He wouldn't know! Because I'm talking about the formula Qvist uses to create his ranking list, he weights votes based on iso level.
Yes. AI is well known for having reverse-engineered the goko rating system which supposedly "can't be put into a formula". Awaclus is referencing that, saying that AI could reverse-engineer the formula Qvist uses to create his ranking lists. This is funny because one would not normally ask AI about Qvist's list; you would just ask Qvist. Now you can surely better appreciate Awaclus' joke because I have explained it to you.
These explanation "jokes" are worse than spam. But I do like Awaclus' post now that I get it.
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Re: Dominion Data Mining: Card Rankings
« Reply #24 on: January 05, 2015, 06:07:35 pm »
0

I'm surprised Adventurer/Transmute even made 7%. Like, really? I suppose ~1 out of 14 games is still pretty rare.

Apothecary also feels too low, although I love that card. Cache feels correct, note that it's really hard to justify outside of slogs.

Border Village > Goons is also really surprising to me. Both cards are really nice and likely to get picked up, but I find it hard to believe Goons is more skippable than BV. My guess is that when greening late game, people do BV -> gain Duchy on $6 and that skews it just enough to edge out Goons.
« Last Edit: January 05, 2015, 06:12:50 pm by Titandrake »
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