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PR or Luck? Here is the real answer if you are looking for (Long but informative)

Posted By: Rick Janowski
Date: Thursday, 11 February 2016, at 10:06 a.m.

In Response To: PR or Luck? Here is the real answer if you are looking for (Long but informative) (__1ERROR1__)

Elo formula, originally devised for Chess, can and originally did adopt the normal distribution. However, the logistic distribution is now almost always used. It is quite similar to normal distribution but the tails are considerably shorter. In my opinion it is mathematically more elegant. Fundamentally it is based on the following premise:

If there are three players, A, B and C, and we know that the odds of B beating A are 1 to X, and the odds of C beating B are 1 to Y, then it may be assumed that:

the odds of C beating A are 1 to X*Y

this leads to a fairly straightforward formula, as can be seen in the help pages of XG and other sources.

To calculate probabilities for best out of 5, I simply looked at the various permutations were one side won 3 from 5 matches and assigning the two probabilities for a single match win and match loss. I think this is equivalent to a binomial type distribution.

Messages In This Thread

• PR or Luck? Here is the real answer if you are looking for (Long but informative)
  __1ERROR1__ -- Wednesday, 10 February 2016, at 4:04 a.m.
  • PR or Luck? Here is the real answer if you are looking for (Long but informative)
    Bob Koca -- Wednesday, 10 February 2016, at 4:21 a.m.
    • PR or Luck? Here is the real answer if you are looking for (Long but informative)
      __1ERROR1__ -- Wednesday, 10 February 2016, at 4:29 a.m.
      • PR or Luck? Here is the real answer if you are looking for (Long but informative)
        Casper Van der Tak -- Wednesday, 10 February 2016, at 2:03 p.m.
        • PR or Luck? Here is the real answer if you are looking for (Long but informative)
          __1ERROR1__ -- Wednesday, 10 February 2016, at 2:47 p.m.
          • PR or Luck? Here is the real answer if you are looking for (Long but informative)
            Colin Owen -- Wednesday, 10 February 2016, at 3:01 p.m.
            • PR or Luck? Here is the real answer if you are looking for (Long but informative)
              __1ERROR1__ -- Wednesday, 10 February 2016, at 4:37 p.m.
              • PR or Luck? Here is the real answer if you are looking for (Long but informative)
                Bob Koca -- Wednesday, 10 February 2016, at 8:10 p.m.
                • PR or Luck? Here is the real answer if you are looking for (Long but informative)
                  __1ERROR1__ -- Thursday, 11 February 2016, at 12:52 a.m.
                  • PR or Luck? Here is the real answer if you are looking for (Long but informative)
                    Schigolch -- Tuesday, 23 February 2016, at 11:27 p.m.
          • PR or Luck? Here is the real answer if you are looking for (Long but informative)
            Casper Van der Tak -- Wednesday, 10 February 2016, at 5:17 p.m.
  • PR or Luck? Here is the real answer if you are looking for (Long but informative)
    Bob Koca -- Wednesday, 10 February 2016, at 4:43 a.m.
    • PR or Luck? Here is the real answer if you are looking for (Long but informative)
      __1ERROR1__ -- Wednesday, 10 February 2016, at 5:27 a.m.
      • PR or Luck? Here is the real answer if you are looking for (Long but informative)
        Bob Koca -- Wednesday, 10 February 2016, at 5:57 a.m.
        • PR or Luck? Here is the real answer if you are looking for (Long but informative)
          __1ERROR1__ -- Wednesday, 10 February 2016, at 6:27 a.m.
      • PR or Luck? Here is the real answer if you are looking for (Long but informative)
        vidvis -- Wednesday, 10 February 2016, at 7:43 p.m.
  • PR or Luck? Here is the real answer if you are looking for (Long but informative)
    Jason Lee -- Wednesday, 10 February 2016, at 1:35 p.m.
    • PR or Luck? Here is the real answer if you are looking for (Long but informative)
      __1ERROR1__ -- Wednesday, 10 February 2016, at 2:43 p.m.
  • PR or Luck? Here is the real answer if you are looking for (Long but informative)
    Matt Cohn-Geier -- Wednesday, 10 February 2016, at 2:12 p.m.
    • PR or Luck? Here is the real answer if you are looking for (Long but informative)
      __1ERROR1__ -- Wednesday, 10 February 2016, at 4:13 p.m.
    • PR or Luck? Here is the real answer if you are looking for (Long but informative)
      Rick Janowski -- Wednesday, 10 February 2016, at 8:36 p.m.
      • PR or Luck? Here is the real answer if you are looking for (Long but informative)
        __1ERROR1__ -- Thursday, 11 February 2016, at 12:49 a.m.
        • PR or Luck? Here is the real answer if you are looking for (Long but informative)
          Rick Janowski -- Thursday, 11 February 2016, at 10:06 a.m.
    • PR or Luck? Here is the real answer if you are looking for (Long but informative)
      Matt Cohn-Geier -- Wednesday, 10 February 2016, at 10:09 p.m.
      • PR or Luck? Here is the real answer if you are looking for (Long but informative)
        Bob Koca -- Wednesday, 10 February 2016, at 10:35 p.m.
        • PR or Luck? Here is the real answer if you are looking for (Long but informative)
          Matt Cohn-Geier -- Wednesday, 10 February 2016, at 11:22 p.m.
          • PR or Luck? Here is the real answer if you are looking for (Long but informative)
            David Rockwell -- Wednesday, 10 February 2016, at 11:58 p.m.
            • PR or Luck? Here is the real answer if you are looking for (Long but informative)
              Rick Janowski -- Thursday, 11 February 2016, at 12:28 a.m.
              • PR or Luck? Here is the real answer if you are looking for (Long but informative)
                Matt Cohn-Geier -- Thursday, 11 February 2016, at 1:32 a.m.
                • PR or Luck? Here is the real answer if you are looking for (Long but informative)
                  christian munk-christensen -- Thursday, 11 February 2016, at 7:27 a.m.
                  • PR or Luck? Here is the real answer if you are looking for (Long but informative)
                    Matt Cohn-Geier -- Thursday, 11 February 2016, at 7:53 a.m.
                  • PR or Luck? Here is the real answer if you are looking for (Long but informative)
                    Rick Janowski -- Thursday, 11 February 2016, at 9:22 a.m.
              • PR or Luck? Here is the real answer if you are looking for (Long but informative)
                Rick Janowski -- Thursday, 11 February 2016, at 1:42 a.m.
              • PR or Luck? (Time management)
                Bob Koca -- Friday, 12 February 2016, at 9:27 p.m.
                • PR or Luck? (Time management)
                  Stick -- Friday, 12 February 2016, at 10:03 p.m.
                  • PR or Luck? (Time management)
                    Casper Van der Tak -- Friday, 12 February 2016, at 11:40 p.m.
                  • PR or Luck? (Time management)
                    Colin Owen -- Saturday, 13 February 2016, at 12:00 a.m.
                    • PR or Luck? (Time management)
                      Bob Koca -- Saturday, 13 February 2016, at 1:34 a.m.
                  • PR or Luck? (Time management)
                    Rick Janowski -- Saturday, 13 February 2016, at 12:07 a.m.
                • PR or Luck? (Time management)
                  Rick Janowski -- Friday, 12 February 2016, at 10:41 p.m.
                  • PR or Luck? (Time management)
                    Tom Keith -- Saturday, 13 February 2016, at 1:25 a.m.
                    • PR or Luck? (Time management)
                      Casper Van der Tak -- Saturday, 13 February 2016, at 8:39 a.m.
                      • PR or Luck? (Time management)
                        Colin Owen -- Saturday, 13 February 2016, at 12:40 p.m.
                        • PR or Luck? (Time management)
                          Casper Van der Tak -- Saturday, 13 February 2016, at 4:13 p.m.
                  • PR or Luck? (Time management)
                    Bob Koca -- Saturday, 13 February 2016, at 1:31 a.m.
                  • PR or Luck? (Time management)
                    Chris Yep -- Saturday, 13 February 2016, at 5:46 a.m.
                    • PR or Luck? (Time management)
                      Rick Janowski -- Saturday, 13 February 2016, at 11:42 a.m.
                      • PR or Luck? (Time management)
                        Chris Yep -- Saturday, 13 February 2016, at 1:17 p.m.
                      • PR or Luck? (Time management)
                        Bob Koca -- Saturday, 13 February 2016, at 5:15 p.m.
                    • PR or Luck? (Time management) Graphical Representation
                      Rick Janowski -- Saturday, 13 February 2016, at 5:01 p.m.
                    • PR or Luck? (Time management)/Other sports
                      Bob Koca -- Saturday, 13 February 2016, at 5:20 p.m.
                      • PR or Luck? (Time management)/Other sports
                        Colin Owen -- Sunday, 14 February 2016, at 4:42 p.m.
                        • PR or Luck? (Time management)/Other sports
                          Colin Owen -- Sunday, 14 February 2016, at 4:44 p.m.
            • PR or Luck? Here is the real answer if you are looking for (Long but informative)
              __1ERROR1__ -- Thursday, 11 February 2016, at 1:19 a.m.
            • PR or Luck? Here is the real answer if you are looking for (Long but informative)
              johnk -- Friday, 12 February 2016, at 6:46 p.m.
              • PR or Luck? Here is the real answer if you are looking for (Long but informative)
                Maik Stiebler -- Friday, 12 February 2016, at 6:55 p.m.
                • Thanks *NM*
                  johnk -- Friday, 12 February 2016, at 8:51 p.m.
          • PR or Luck? Here is the real answer if you are looking for (Long but informative)
            Rick Janowski -- Thursday, 11 February 2016, at 12:11 a.m.
      • PR or Luck? Here is the real answer if you are looking for (Long but informative)
        __1ERROR1__ -- Thursday, 11 February 2016, at 1:07 a.m.
        • PR or Luck? Here is the real answer if you are looking for (Long but informative)
          Matt Cohn-Geier -- Thursday, 11 February 2016, at 4:18 a.m.
        • PR or Luck? Here is the real answer if you are looking for (Long but informative)
          Matt Cohn-Geier -- Thursday, 11 February 2016, at 4:34 a.m.
  • PR or Luck? Here is the real answer if you are looking for (Long but informative)
    Casper Van der Tak -- Wednesday, 10 February 2016, at 2:21 p.m.
    • PR or Luck? Here is the real answer if you are looking for (Long but informative)
      __1ERROR1__ -- Wednesday, 10 February 2016, at 4:23 p.m.
      • PR or Luck? Here is the real answer if you are looking for (Long but informative)
        Casper Van der Tak -- Wednesday, 10 February 2016, at 5:14 p.m.
  • PR or Luck? Here is the real answer if you are looking for (Long but informative)
    Igor -- Wednesday, 10 February 2016, at 5:30 p.m.
    • PR or Luck? Here is the real answer if you are looking for (Long but informative)
      Chris Yep -- Saturday, 13 February 2016, at 6:00 a.m.
  • PR or Luck? Here is the real answer if you are looking for (Long but informative)
    vidvis -- Wednesday, 10 February 2016, at 8:05 p.m.
    • PR or Luck? Here is the real answer if you are looking for (Long but informative)
      __1ERROR1__ -- Thursday, 11 February 2016, at 4:15 a.m.
  • PR or Luck? Here is the real answer if you are looking for (Long but informative)
    Timothy Chow -- Thursday, 11 February 2016, at 1:38 a.m.
    • PR or Luck? Here is the real answer if you are looking for (Long but informative)
      __1ERROR1__ -- Thursday, 11 February 2016, at 4:28 a.m.
      • PR or Luck? Here is the real answer if you are looking for (Long but informative)
        Timothy Chow -- Friday, 12 February 2016, at 12:21 a.m.
    • PR or Luck? Here is the real answer if you are looking for (Long but informative)
      Albert Steg -- Friday, 12 February 2016, at 5:56 p.m.
      • PR or Luck? Here is the real answer if you are looking for (Long but informative)
        Timothy Chow -- Saturday, 13 February 2016, at 12:44 a.m.
  • PR or Luck? Here is the real answer if you are looking for (Long but informative)
    sita -- Thursday, 11 February 2016, at 9:03 a.m.
  • PR or Luck? Here is the real answer if you are looking for (Long but informative)
    christian munk-christensen -- Thursday, 11 February 2016, at 12:46 p.m.
    • PR or Luck? Here is the real answer if you are looking for (Long but informative)
      Rick Janowski -- Thursday, 11 February 2016, at 2:49 p.m.
      • PR or Luck? Here is the real answer if you are looking for (Long but informative)
        Timothy Chow -- Friday, 12 February 2016, at 12:24 a.m.
        • PR or Luck? Here is the real answer if you are looking for (Long but informative)
          Rick Janowski -- Friday, 12 February 2016, at 2:04 a.m.
          • PR or Luck? Here is the real answer if you are looking for (Long but informative)
            Timothy Chow -- Saturday, 13 February 2016, at 12:41 a.m.
            • PR or Luck? Here is the real answer if you are looking for (Long but informative)
              Rick Janowski -- Saturday, 13 February 2016, at 1:51 a.m.
      • PR or Luck? Here is the real answer if you are looking for (Long but informative)
        Florin Popa -- Monday, 22 February 2016, at 12:08 p.m.
        • PR or Luck? Here is the real answer if you are looking for (Long but informative)
          Leonardo Jerkovic -- Monday, 22 February 2016, at 12:24 p.m.
          • PR or Luck? Here is the real answer if you are looking for (Long but informative)
            Matt Cohn-Geier -- Monday, 22 February 2016, at 12:33 p.m.
            • PR or Luck? Here is the real answer if you are looking for (Long but informative)
              Colin Owen -- Monday, 22 February 2016, at 3:20 p.m.
              • PR or Luck? Here is the real answer if you are looking for (Long but informative)
                Florin Popa -- Monday, 22 February 2016, at 3:53 p.m.
                • PR or Luck? Here is the real answer if you are looking for (Long but informative)
                  Colin Owen -- Tuesday, 23 February 2016, at 12:54 a.m.
                  • PR or Luck? Here is the real answer if you are looking for (Long but informative)
                    Florin Popa -- Tuesday, 23 February 2016, at 1:08 a.m.
            • PR or Luck? Here is the real answer if you are looking for (Long but informative)
              Florin Popa -- Monday, 22 February 2016, at 3:32 p.m.
            • PR or Luck? Here is the real answer if you are looking for (Long but informative)
              Rick Janowski -- Monday, 22 February 2016, at 3:45 p.m.
              • PR or Luck? Here is the real answer if you are looking for (Long but informative)
                Florin Popa -- Monday, 22 February 2016, at 4:04 p.m.
  • PR or Luck? Here is the real answer if you are looking for (Long but informative)
    Sean Garber -- Friday, 12 February 2016, at 7:57 a.m.
    • PR or Luck? Here is the real answer if you are looking for (Long but informative)
      Bob Koca -- Friday, 12 February 2016, at 9:01 p.m.
  • PR or Luck? Here is the real answer if you are looking for (Long but informative)
    Schigolch -- Thursday, 18 February 2016, at 11:24 p.m.
  • PR or Luck? Here is the real answer if you are looking for (Long but informative)
    niuniuch -- Friday, 19 February 2016, at 12:58 p.m.
    • PR or Luck? Here is the real answer if you are looking for (Long but informative)
      Sean Garber -- Friday, 19 February 2016, at 10:29 p.m.
    • PR or Luck? Here is the real answer if you are looking for (Long but informative)
      Casper Van der Tak -- Friday, 19 February 2016, at 10:43 p.m.
  • PR or Luck? Here is the real answer if you are looking for (Long but informative)
    Florin Popa -- Monday, 22 February 2016, at 3:42 p.m.