|
An Interview with
David Rothman
FACT
College Football Standings
College Football
BCS member
2001
Note: David Rothman left us in 2004. Dr. Peter Wolfe is keeping David's
system active for all of us to continue to enjoy.
YL: You have covered my main concern of using computer
ratings in determining the teams that actually deserve honor at the end of the
season. It seems to be a concern of yours whether many computer rating systems
are objective. You have laid out the basics of your system for the world to
consider. You have also put a lot of effort into getting the powers that be to
use such a system. What would be the perfect setup in your eyes? Would a single
system like yours be adequate or do you think it should be a select group of
systems? If so, which ones would you choose in a perfect world?
David: FACT's
system of standings should be sufficient for regulation of college football. My
program is in the public domain, so any school would be able to reproduce FACT's
ranking in seconds. A coach would be able to compute the exact margin his team
would need to get a certain ranking if other games were already finished. FACT's
rankings do not depend on date of games, home field, or any information supplied
by outside data or intuition. Only the margin of the score and the identity of
the opponent is used, the basic minimum for meaningful rankings. And there will
never be ties (except in a very rare situation like NESCAC, which plays no games
out of conference). Not only could the BCS organization rely on the standings
produced in this fashion, but all the other championship playoffs in college
football (NCAA I-AA, II, & III, and NAIA), with only the modification of
limits on the number of schools from a conference, could use the same standings
to select participants. And FACT has developed a methodology to compute the size
of the field. That field is incredibly inflated in basketball (64!), but even
college football playoffs would be cut to about half the current size.
YL: What is FACT and when and how did it develop?
David: FACT is the Foundation for the Analysis of
Competitions and Tournaments, a California DBA for the purpose of doing research
on tournament design and analysis. FACT has issued recommended asymmetric
tie-breakers for Swiss-systems (used mainly in chess and go), but almost all
studies are on college football as a demonstration, because that is the sport
with the sparsest incidence matrix, and therefore the greatest difficulty in
ranking. This DBA name was registered in the late 1970s, but I have never
bothered to renew the registration.
YL: How influential do you think computer ratings will be
in the future? How long do you think it will be before playoff teams might be
decided strictly by some rating system?
David: In the same way that games won/games played is the
standard formula for any partially or completely balanced tournament, some more
complex formula, most likely mine, will become the one used for tournaments with
the sparse incidence matrices seen in many college sports like basketball and
football. These standings are already available for any enlightened sports
administrator, since the program is not proprietary, has been given away to
several people as a result of e-mail requests, and has been presented to several
meetings of my peers (in the profession of mathematical statistics). The
selection of playoff teams, however, is an issue freighted with even more
politics, since income and recruitment can be affected after a teams gets an
invitation.
Furthermore, I have developed only heuristic rules to limit
number of teams from any conference (as a function of total invitations). My
guess is that the committee members in the various sports presently in control
of invitations will not voluntarily cede this power for decades, until they
verify to their own satisfaction that my formula will cause less grief in the
long run than the risk of personal bias in selection.
YL: How would you describe your profession?
David: We mathematical statisticians devise rules for
quantitative inference from data. This allows us to design surveys and
experiments for optimal acquisition of information. A playoff tournament is an
experimental design which can be optimized in this fashion. But a design in
sports has to be specified before we begin the regular season, so we won't know
exactly how many teams will be at the top by the end of the season. In addition,
there will be practical constraints of an educational nature (teams can take a
limited time away from their studies) and a commercial nature (schools will not
want to lose too much money to be champion in some sports). The regular season
is designed by the schools, not by statisticians. In this case we must be
prepared to handle data of any kind, including conferences which refuse to play
any outsiders (incomparability). FACT's solution is to list such conferences as
having "arbitrary location parameter" with respect to other teams.
YL: What are your favorite sports teams and/or players?
David: I'm sorry, but one of the requests made by the BCS
administrators is that we panelists abjure indications of favoritism in college
football. And I have almost no interest in other college or professional sports.
YL: That's too bad. I suppose they think this is a good
safeguard. I guess I couldn't be in the BCS because even though my teams aren't
doing so well, I still get excited when they win. What are your hobbies and
interests?
David: The main dedication of my life has been reform of
the United States constitution and devising concepts for such analysis. I have
given many talks around Los Angeles on the subject (twice at the UCLA political
science department), and I've also proposed innovations for both the EU and UN
charters. I attend many social science seminars at UCLA, USC, and RAND hoping to
pick up new ideas (and free food). My major hobby has been genealogy, and my
work on the Marx brothers was credited in a book by Simon Louvish, "Monkey
Business" (1999). I've supplied him with material on Laurel and Hardy for
his next book, and I am now working on the family of Senator Joseph I. Lieberman
with the cooperation of the family. I am fascinated by the whole Marx family,
and hope to make a film history from Minnie's arrival as a teenager in New York
City to Groucho's death. I am a past member of the American Statistical
Association and the Prometheus Society.
YL: You are a busy man. I'm surprised you have any free
time at all. Where do you call home?
David: I've lived in the same apartment in Hawthorne, in
Los Angeles County, since 1974.
YL: You must have your life pretty stable. You have told
us a good deal about your visions, opinions, and yourself. Now you get to have
your say. Is there anything else you feel the world needs to know?
David: Can't think of anything.
We would like to thank Mr. Rothman for
this interview.
His explanation can be found at http://www.cae.wisc.edu/~dwilson/rsfc/rate/rothman.html
FACT can be found at: http://www.bol.ucla.edu/~prwolfe/cfootball/rothman.txt
|