Re: On Powers and Bonus Conversion

Okay, I realize that my previous argument using my "hypothetical" 
team was illogical.  <growls>

Here's an argument that is not hypothetical and is based purely on 
numbers.  Take two teams:  one that gets 40% of tossups and 20 points 
per bonus; and another team that gets 60% of tossups and 10 points 
per bonus.  The two teams would get the same number of points (240) 
over 20 tossups.  The way they got to the points was a different 
thing:  the disparity in the number of tossups was 4 out of 20, or 
20%.  However, the disparity in the percentage of bonus points was 10 
out of 30, or 33%.  Thus, a 20% change in tossup percentage 
correlates to a 33% change in bonus percentage.

This argument also holds up to 35% TU/12.5 PPB vs. 45% TU/7.5 BBP 
(random numbers to keep the same proportion).  Again, both teams 
would score the same amount over 20 tossups, this time 157.5 points 
per game.  This time, 10% tossup change equals 16.7% bonus change.

The above shows that a change in tossup conversion percentage 
corresponds to an even larger change in bonus conversion percentage.  
This should shed new light on my argument that, yes, bonus conversion 
can be overrated in terms of who the better team is in *winning.*  
Bonus conversion is good, but it is *definitely* not the most 
important stat in quizbowl.

Perfect example:  ACF Southwest Regionals.  Arkansas Beta had a bonus 
conversion of somewhere about 11 PPB; Arkansas Alpha had bonus 
conversion of about 10 PPB (according to last stat sheet I checked; I 
am certain that Beta was higher than Alpha).  Arkansas Beta finished 
3-9; Arkansas Alpha finished 9-3.  

In short, who gives a P-Diddy about bonus conversion?  You can 
average 50 points per bonus, for all I care, but if you get no 
*tossups*, then will you win the game?  <growls>

--Joshua Hill
Panthera tigris altaica

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