Ah, Dr. Dave;

Ever the theorist, eh? 

Our group of about 16 - 18 guys has been playing the
way I mentioned for about 25 years. We have a plus 1,
a couple of 5's and 7's, some 10 to 13's and at least
5 guys in the 16 to 18 hdcp range. Over time group
winnings have pretty much balanced out even. When I
was a single digit paired up with say, an 18, I won
about as many times as I lost. 

Ever the empiricist, 

TFlan ;-)
--- Dave Tutelman <[EMAIL PROTECTED]> wrote:

> At 06:28 PM 8/6/2007, TOM FLANAGAN wrote:
> >Of course this only applies if you're playing a
> 4-some
> >event.
> 
> That's why I was asking what the game was.
> 
> >But still, within groups we have team bets,
> >Generally the high and low vs the 2 in the middle,
> or
> >something like that. Again, we try to match up
> total
> >handicap strokes.
> 
> OK, let's assume we're talking about 4-ball better
> ball match play. 
> Then matching up total (or average) handicap strokes
> seems like a 
> natural way to do it. You should be able to play
> level that way. But 
> experience (or a little thought) says that it's not,
> if there is more 
> than a few strokes difference within the foursome.
> 
> That's because, in a better-ball event, one golfer
> who is 
> substantially better than the others will dominate.
> For instance, 
> suppose you have two 15-hcp guys playing a 10 and a
> 20. The 10 is 
> enough better than both the members of the other
> team that his play 
> will completely dominate, and the 20 will only
> occasionally be "in 
> the hole". Even though the average of the two teams
> is the same, the 
> 10-20 team will beat 15-15 a disproportionate
> fraction of the time.
> 
> I remember seeing an article (probably a decade ago)
> that made a lot 
> more sense. Match the average of the INVERSE of the
> handicaps. That 
> way, a lower handicap carries more weight than a
> higher handicap of 
> the same difference. Put another way:
> 
>          Effective handicap = 1 / (1/A + 1/B)
> 
> where
>          A = handicap of the A-player
>          B = handicap of the B-player
>          Effective handicap = the handicap to use
> when comparing 
> teams for fairness.
> 
> For you electrical guys out there, it's the parallel
> resistance 
> formula. Tom is saying, if the handicap is a
> resistor, then matched 
> teams should have the same series resistance. The
> article would argue 
> (and I would agree) that it makes more sense for
> matched teams to 
> have the same parallel resistance.
> 
> If you want Tom's formula (match by average
> handicap) to make sense, 
> you should play a high-low game rather than simple
> best ball. In that 
> game, each player is always in the hole. The best
> scores of each team 
> is matched, AS IS THE WORST. For instance, suppose a
> hole goes:
>          Red:  player A=4, player B=7
>          Blue: player A=5, player B=6
> 
> In simple best ball, Red wins the hole.
> In hi-lo, Red gets a point (4 beats 5) and Blue gets
> a point (6 beats 7).
> 
> Hope this is more helpful than confusing.
> 
> Cheers!
> DaveT
> 
> 
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> 

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