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From |
"victor michael zammit" <vmz@vol.net.mt> |

To |
<statalist@hsphsun2.harvard.edu> |

Subject |
st: Re: RE: Re: program |

Date |
Sat, 6 Nov 2004 22:57:48 +0100 |

If the seven teams are G , Xe, Xa, K, Z , V , and N and they have each played four times with the following results : G vs N = 3-1 such that G gains 3 point and N gains 0 points G vs Z = 2-0 " " G " 3 " " Z " 0 " G vs Xa = 2-0 " " G " 3 " " Xa " 0 " G vs K = 1-1 " " G " 1 " " K " 1 " Xe vs N = 2-0 " " Xe " 3 " " N " 0 " Xe vs K= 2-1 " " Xe " 3 " " K " 0 " Xe vs V = 3-1 " " Xe " 3 " " V " 0 " Xe vs Z = 1-2 " " Xe " 0 " " Z " 3 " Xa vs K = 1-1 " " Xa " 1 " " K " 1 " Xa vs V = 2-0 " " Xa " 3 " " V " 0 " Xa vs N = 2-1 " " Xa " 3 " " N " 0 " K vs Z = 3-1 " " K " 3 " " Z " 0 " Z vs V = 2-2 " " Z " 1 " " V " 1 " V vs N = 2-2 " " V " 1 " " N " 1 " then the classification for the seven teams is as follows : team gamesp~d won tied lost points G 4 3 1 0 10 Xe 4 3 0 1 9 Xa 4 2 1 1 7 K 4 1 2 1 5 Z 4 1 1 2 4 V 4 0 2 2 2 N 4 0 1 3 1 What I am wondering is whether it is possible to write some program such that from the observed gamesplayed and points you could determine the games won and/or tied and/or lost , ie whether you could reveal the third and fourth and fifth columns of information, the won-tied-lost columns . As a matter of fact , the points held by G , which is 10 , given that it has played four games has to be a construct of 3*3 + 1*1 .The 9 held by Xe is also coming from 3 wins and 1 loss .The 7 points held by Xa is also clear that it must be coming from 2 wins and 1 tie and the other is a loss . The 5 points held by K have to come from 1 win and 2 ties and 1 loss . The 4 points held by Z might be vague in that it could be 1 win 1 tie and 2 lost OR 0 win 4 ties and 0 lost .The derivation of the points held by V and N is also clear as crystal . Obviously , the more games played , and the more teams competing, the more difficult it gets to derive the teams' won-tied-lost distribution.It would be quite interesting if this could be resolved by some program . ----- Original Message ----- From: McKenna, Timothy <Timothy.McKenna@nera.com> To: <statalist@hsphsun2.harvard.edu> Sent: Friday, November 05, 2004 10:36 PM Subject: st: RE: Re: program > No matter what you program/language you are working in, you still won't be able to differentiate if a team does: > > observed: 6 points, 6 games played > > The possible actual game results are: > 0 wins, 6 ties > 1 win, 3 ties > 2 wins, 4 losses > > If you have the results for all seven teams in the league you might be able to determine that there is only one combination of results that could generate the observed league wide standings. Is this the question you are asking? > > -----Original Message----- > From: victor michael zammit [mailto:vmz@vol.net.mt] > Sent: Friday, November 05, 2004 4:27 PM > To: statalist@hsphsun2.harvard.edu > Subject: st: Re: program > > > Dear Statalist, > given a soccer (football) league,with seven teams and each team plays once > against the other six teams to complete one round ; the three possible > outcomes for any game is a win, a tie or a loss, ie three points , one point > or zero point ,respectively.Is it possible to write a program that could > give you the number of games the given team has won and /or tied and/or > lost , given that you know the number of games it has played and the number > of points that it received ? > Victor M. Zammit > > * > * For searches and help try: > * http://www.stata.com/support/faqs/res/findit.html > * http://www.stata.com/support/statalist/faq > * http://www.ats.ucla.edu/stat/stata/ > > _____________________________________________________________ > > This e-mail and any attachments may be confidential or legally privileged. If you received this message in error or are not the intended recipient, you should destroy the e-mail message and any attachments or copies, and you are prohibited from retaining, distributing, disclosing or using any information contained herein. Please inform us of the erroneous delivery by return e-mail. > > Thank you for your cooperation. > > _____________________________________________________________ > > > * > * For searches and help try: > * http://www.stata.com/support/faqs/res/findit.html > * http://www.stata.com/support/statalist/faq > * http://www.ats.ucla.edu/stat/stata/ > * * For searches and help try: * http://www.stata.com/support/faqs/res/findit.html * http://www.stata.com/support/statalist/faq * http://www.ats.ucla.edu/stat/stata/

**References**:**st: RE: Re: program***From:*"McKenna, Timothy" <Timothy.McKenna@nera.com>

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