Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Path: utzoo!mnetor!seismo!ut-sally!ut-ngp!osmigo1 From: osmigo1@ut-ngp.UUCP (Ron Morgan) Newsgroups: sci.math.stat,net.sport Subject: Re: probability models for tennis scoring systems Message-ID: <4232@ut-ngp.UUCP> Date: Thu, 30-Oct-86 14:00:37 EST Article-I.D.: ut-ngp.4232 Posted: Thu Oct 30 14:00:37 1986 Date-Received: Fri, 31-Oct-86 02:01:02 EST References: <1715@emory.UUCP> <50@cartan.Berkeley.EDU> Reply-To: osmigo1@ngp.UUCP (PUT YOUR NAME HERE) Organization: Speech Communication UT Austin Lines: 28 Keywords: probability, tennis, markov chains Xref: mnetor sci.math.stat:14 net.sport:643 In article <50@cartan.Berkeley.EDU> desj@brahms (David desJardins) writes: >In article <1715@emory.UUCP> riddle@emory.UUCP (Larry Riddle) writes: >>[...] However, if one player has a small advantage over the other in >>serving efficacy, then this advantage gets magnified when considering >>the entire set. Which scoring system produces the least magnification? >>Interestingly, the 9 point and the No-Ad systems are "best" in this I'm not sure I agree with this. As anybody who's played seriously (!) knows, there are a LOT of factors contributing to a victory than points. Tennis is probably the most psychological game in the world, for example. A championship- caliber player can be two sets behind and muster up the self-control and drive to pull up and ahead and go on to win (jeez, I wish I could do that). A lesser player tends to be psychologically cowed into concession. Uhoh.....I made a mistake here... actually, I'm disagreeing with the guy who suggested the system with the *greatest* magnification. At any rate two identical scoring situations can (among many, many, other things) have drastically different results in terms of how the game progresses, thus rendering statistical, pragmatic analyses somewhat inconclusive. Ron Morgan (whackTHUMPwhackTHUMPwhackTHUMP) -- osmigo1, UTexas Computation Center, Austin, Texas 78712 ARPA: osmigo1@ngp.UTEXAS.EDU UUCP: ihnp4!ut-ngp!osmigo1 allegra!ut-ngp!osmigo1 gatech!ut-ngp!osmigo1 seismo!ut-sally!ut-ngp!osmigo1 harvard!ut-sally!ut-ngp!osmigo1