Re: ICT qualifications

[ The Texas A&M SCT has only 2 Division I teams so there is no 
guaranteed invitation to the top team. ]

> You might say, "Eric, how can that be?  Sure there's no codified 
> guarantee, but they went undefeated!"  We mustn't forget NAQT's "S- 
> value" system which, "combines statistical measures of tossup 
> performance and bonus performance and includes corrections for 
> opponent strength."
> 
> The key words in there are the last two -- opponent strength.  
> History has shown that in the few past sectionals where D1&D2 
> competed together, NAQT's rating system seriously de-values a D1 
vs. 
> D2 game.

Eric --

On average Division II teams will have lower tossup conversion and 
lower bonus conversion than Division I teams.  Because of this, you 
are right to point out that defeating a Division II team is worth 
less in the eyes of the NAQT Invitation Committee than defeating an 
average Division I team.

However, a Division I team playing Division II teams should be able 
to answer a higher fraction of tossups than a Division I team playing 
another Division I team and its bonus conversion should be unaffected 
by their opponent.  The idea behind the S-value is to cancel these 
factors out so that it doesn't matter where a team plays:  If they 
choose to play at a weak Sectional they will score more points but 
lose position because of the weakness of their opponents.  If they 
play at a stronger sectional they will score fewer points but gain 
position because of the strength of their opponents.

> Getting back to our example, let's further say that our winning 
> team's performance against the D2 teams in the field was fairly 
> consistent, though not overly dominating.  We'll also say that the 
> D2 teams have a normal distribution of skill -- 1 good, 1 poor, and 
> 8 average.
> 
> I think it would be fair to say that such a profile, before we take 
> into account the single D1 game this team has, would probably not 
> meet the S-value bid threshold.  Everything, then, is dependent on 
> the one D1 game.  If the other D1 team had a similar run through 
the 

This is not the complete story--what matters is how well the team 
plays against that weak schedule.  Does the team answer 45% of the 
tossups?  65%?  85%?  By no means does everything depend on the one 
Division I game.  Everything depends on consistently answering 
tossups and converting bonuses in every game.

> On the other hand, the other D1 team could be extremely 
> inexperienced, made D1 by the presence of a novice graduate player, 
> and it might have a mediocre record in the D2 field, like 5-5.  
Even 
> a strong victory over this team is unlikely to register much in the 
> S-value.

Answering 75% of the tossups and converting 60% of the bonus points 
even over a weak team will definitely register.
 
> Again, to restate, our hypothetical, undefeated team at this 
> weekend's sectionals, through no fault of its own, would not only 
> (A) not have an automatic invitation to the ICT, but it also (B) 
> would be left, at best, "on the bubble" for a bid.  This team's 
> situation becomes even worse with a single loss, particularly if it 
> is to the other D1 team.
> 
> If I'm dramatically overstating the ramifications of the S-value 
> system, I'd love for someone to correct me.  But, as it is right 
> now, I see a situation where a good team which could easily qualify 
> in another, more populous region would get a raw deal.

One of the goals of the S-value is to make the choice of Sectional to 
attend irrelevant to qualification.
 
> I would encourage NAQT to rethink this policy.  It's tantamount to 
> telling Gonzaga that the NCAA tournament's not going to take them, 
> since the rest of the West Coast Conference stinks.

I don't know a lot about sports, but this doesn't seem right to me.  
I would argue that it is similar to the NCAA tournament telling 
Gonzaga that the WCC doesn't get an automatic bid but if they win 
their games against those weaker teams by an average of 15 points, 
they will get an invitation.

-- R. Robert Hentzel
President and Chief Technical Officer,
National Academic Quiz Tournaments, LLC

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