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tales from the leaderboard --- mid-month report
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skrumgaer wrote
at 10:21 AM, Monday September 15, 2008 EDT
As of mid-September, the total number of players on the board is 5617, up 1460 from my earlier report. The number of players scoring better than zero is 4507, up 1193, absorbing most of the growth in number of players. This would be expected since the net expected gain in score per player per game is +10.
The highest score shared by two players (Kehoe, Grimbum) is 4434. The lowest ranked player having a score to himself (sosmet) is 193. The lowest skipped score is 314 and the lowest two or more scores skipped is 559-560. These are roughly one and a half times as big as they were in the earlier report, giving an indication of how the score distribution has spread. |
Replies 1 - 5 of 5
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dasfury wrote
at 9:33 PM, Monday September 15, 2008 EDT If longhair was buying his points, how many New Turkish Lira would he have spent?
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TiS wrote
at 8:17 AM, Tuesday September 16, 2008 EDT Yeah, could we get a point distribution curve?
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skrumgaer wrote
at 8:45 AM, Tuesday September 16, 2008 EDT The point distribution curve will come at the end of the month. Then I will load the entire leaderboard (probably will be 6000+ players at that point) into a spreadsheet. I am doing it only once because it takes a lot of time to load 6000 lines into a spreadsheet 25 lines at a time.
Then I can do stats on points, points per game, points per kill, etc. The number of games played is not given in the leaderboard stats but I can construct a proxy variable called "score game equivalent" (SGE) which would be the player's score divided by his PPG. The PPG does not count "draw", which is points given to keep a player's score from going below zero, or the 2500 points given to members. The SGE for a nonmember who has taken no draw will be equal to his actual games played, subject to rounding. The SGE for a member with a positive PPG will be larger than his actual games played. Members with negative PPG (such as me) will have a negative SGE. When all the SGE's are calculated, they all will be adjusted upward by the same amount so that the player with the most negative SGE will have an SGE of 1 (no divisions by zero can happen then). Then the SGE can be used to calculate statistics such as points per SGE (PPSGE), points per root SGE (PPRSGE), kills per SGE (KPSGE) and so on. The SGE will equalize members and nonmembers because members will have bigger SGE's, hence a bigger denominator in the calculations. |
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skrumgaer wrote
at 8:58 AM, Tuesday September 16, 2008 EDT Reflecting on what I have just posted: Since PPG's can be zero, I can get a division by zero error in calculating the SGE's. So I can put in a subroutine that sets the SGE's of all 0/0 players to 1.
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skrumgaer wrote
at 9:45 AM, Tuesday September 16, 2008 EDT Here is a possible way the stats might look. Here I took the top and bottom panels of the leaderboard.
Rank Player Score PPG SGE ADJ SGE PPRSGE 1st longhair 52,511 157 334 335 2867 7th UpmaxM 21,753 224 97 98 2196 11th Rorschach 19,067 145 131 132 1656 2nd DaShiVa 38,513 69 558 559 1629 3rd 1st.skyler 27,246 90 303 304 1563 20th vicsf 14,750 152 97 98 1490 12th moneymango 17,620 111 159 160 1394 18th Easy A 14,772 130 114 115 1380 13th dasfury 17,005 109 156 157 1357 8th nexon 21,538 77 280 281 1286 6th xy< 21,897 75 292 293 1279 21st AMO 13,796 119 116 117 1276 9th Fisto 20,052 75 267 268 1224 10th Heels 19,195 61 315 316 1080 23rd Thraxle 12,925 86 150 151 1051 5th smirkatroid 23,517 47 500 501 1050 15th Tupa bol 16,376 65 252 253 1030 4th shadolin 23,534 45 523 524 1028 16th bcmatteagles 15,051 67 225 226 1002 22nd habit1 13,669 72 190 191 989 24th neutraI 12,877 76 169 170 986 19th Bombardier DS 65 14,756 60 246 247 939 14th ching-a-ling 16,851 51 330 331 926 25th CoMik 11,762 52 226 227 780 17th Iumentum 14,960 32 468 469 691 5,753rd evltr 0 -6 0 1 0 5,752nd Esteban I 0 -7 0 1 0 5,764th NYCe 0 -13 0 1 0 5,751st Nosamdivad 0 -14 0 1 0 5,761st Neznaika 0 -17 0 1 0 5,765th volken 0 -18 0 1 0 5,763rd milanbl 0 -20 0 1 0 5,754th perlenfreak 0 -22 0 1 0 5,762nd seniac 0 -32 0 1 0 5,755th crni 0 -33 0 1 0 5,759th DrPoints 0 -34 0 1 0 5,760th Gravus 0 -38 0 1 0 5,756th NutsOnTheRoad 0 -48 0 1 0 5,757th Adam S 0 -49 0 1 0 5,758th poler447 0 -52 0 1 0 |
