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Removing outliers from DATUM

#21 User is offline   whereagles 

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Posted 2010-March-02, 15:20

I'm just worried of converting imps to VP... dividing by the number of comparisions and adding all games up may require a revised VP scale....
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#22 User is offline   gwnn 

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Posted 2010-March-02, 15:46

how many boards per round Nuno? I'd be reluctant to turn imps to VP unless there was enough boards per round,
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#23 User is online   Cascade 

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Posted 2010-March-02, 16:29

How many is enough?

Not that it matters much to the IMPs but is it normal to divide by the number of comparisons? I thought one more or one less was recommended. It would matter to the VPs.
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#24 User is offline   gwnn 

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Posted 2010-March-02, 17:16

I would say 6 is enough but it's just an arbitrary line that I made up now. I played in a few events where they made VP's out of 2 board matches and it wasn't very healthy. People took really swingy decisions whenever they had a little disaster in the 1st board. 2 was clearly too short and 8 is intuitively quite enough for these purposes. 6 is OK and I am not sure about 4.
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#25 User is online   mycroft 

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Posted 2010-March-02, 18:08

As many people are hinting at (or just assuming everybody understands), the biggest problem with Butler is that the datum is almost always a non-bridge result (185 being a classic). The IMP table has been constructed - key word here - with two keys in mind: cut down somewhat on the "one-hand-is-the-match" problem with total points scoring (while not disappearing it completely - that's B-A-M teams/matchpointed pairs), and make common bridge differences different IMP scores (frequently by putting the "common difference" at the bottom of an IMP band - 10, 20/30, 50, 100, 250, 450, 500, 750 off the top of my head). The first part is irrelevant here, but the second is totally destroyed when the score you're comparing to *isn't a bridge result*.

Whether that actually matters is another problem for the student, but it feels wrong to anyone who is of mathematical bent.

David's "cross-IMP confusion" argument, at least where I "live", seems to have gone out the window; people understand cross-IMPs now, either because they've played through it (and had it explained to them) enough, or because they play online, and OKB and BBO cross-IMP everything.

Yes, there's a problem if you don't pitch results and people play silly buggers on the outliers, but that tends to happen much less often (and be valid results (passed splinter, revoke giving the contract) (which you *want* to keep) when it does, as opposed to random open 7NT and XX if it comes back) in real life, and the more hands in the system, the less the outlier matters. (That's the problem - which Fred has apologized for - with BBO's cross-imp rooms; there are only 15 comparisons, and one dumb result is 1-2 IMP noticeable. With 50 comparisons, not so much)
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#26 User is offline   Bbradley62 

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Posted 2010-March-02, 21:32

ArtK78, on Mar 2 2010, 10:15 AM, said:

hotShot, on Mar 2 2010, 06:27 AM, said:

It would be nice to have a par score, but many boards don't have one.
(I remember a board where I could make 6 while our opponents could make 6.)

All boards have a par. On the one that you referenced, the par would be 7x down one.

Using the theoretical par has two problems:
(1) Someone has to do the extra work (and take the extra time) to examine each hand closely enough to determine that theoretical par.
(2) There may be times when all results are on one side of the theoretical par. In the given example, if all EW club-holders allowed themselves to be outbid by the NS spade holders (below the 7-level), then all NS pairs will score + game or slam, but par would be set at +100 or +200, so all NS pairs would win IMPs and all EW pairs would lose IMPs. That's not how it's supposed to work.
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#27 User is offline   Siegmund 

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Posted 2010-March-02, 22:19

I'd prefer to call that a difference between comparing against other players and comparing against a datum. It is indeed very possible for all the pairs one direction to fail to beat par.

That's a feature, not a flaw, if you choose to take ddpar as your datum. :D

Whether it would be popular with players or not, I am not sure - but given how popular the hand records with making contracts printed on them are, I think it'd be a lot more popular than IMPing against +185s ever was.
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#28 User is offline   helene_t 

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Posted 2010-March-03, 02:45

Bbradley62, on Mar 3 2010, 04:32 AM, said:

Using the theoretical par has two problems:
(1) Someone has to do the extra work (and take the extra time) to examine each hand closely enough to determine that theoretical par.

Scoring software usually does this already. Yes, the DD par is sometimes silly (requiring dcl to drop a sec king instead of trying the finesse) but you don't want the subjectivity of human judgement involved. What you could do is to let GIB or Jack or w/e play the hands and use such artificial SD results as par.

Quote

(2) There may be times when all results are on one side of the theoretical par.

That could be an advantage (in a small field it sometimes happens that all EW pairs play well and all NS pairs play badly on a particular board) or it could be a disadvantage (it could be that the DD par is just unrealistic). It would work better in small fields than it large fields.

I don't think that a DD par datum would be better than XIMPs but I might be wrong so I think it would be worth doing some studies on.

But even if it turns out to be inferior to XIMPs in normal tournaments, it would still be attractive in some special cases:
- You can use it for Mitchell movements. In Mitchell, EW scores are not comparable to NS scores, especially when pairs chose their direction themselves so there may be a bias. DD par datum solves much of this problem.
- You can use it in very weak fields where the table results are generally less meaningful than SD par.
- You get you results immediately, don't have to wait for the frequency tables. Your IMP score will not be affected by adjustments if you are not involved.
- You can use it when duplication is not feasible for whatever reason.
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#29 User is offline   whereagles 

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Posted 2010-March-03, 03:03

gwnn, on Mar 2 2010, 09:46 PM, said:

how many boards per round Nuno? I'd be reluctant to turn imps to VP unless there was enough boards per round,

We'll be playing 8, 10 or 12 boards/round, depending on the number of pairs.

By the way, since the division of cross-imps by number of comparisions can generate fractional imps, can anyone give me a link to a fractional VP table?
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#30 User is offline   helene_t 

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Posted 2010-March-03, 03:13

whereagles, on Mar 3 2010, 10:03 AM, said:

By the way, since the division of cross-imps by number of comparisions can generate fractional imps, can anyone give me a link to a fractional VP table?

I am pretty sure there is no such thing. You would have to round off.
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#31 User is offline   Vampyr 

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Posted 2010-March-03, 04:10

Some people seem to have suggested that XIMPs is more difficult to understand than Butler. I think it is easier, especially for anyone who has ever played matchpoints. You are compared with evey other pair who played in your direction.

Anyway, to the original poster -- apparently most Australian pairs tournaments are IMP Swiss pairs. I assume that they use both XIMPs and VPs, so you can probably get a scale from them (Look for the Swiss Pairs thread on "offline bridge").
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#32 User is offline   Mbodell 

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Posted 2010-March-03, 04:38

whereagles, on Mar 3 2010, 01:03 AM, said:

gwnn, on Mar 2 2010, 09:46 PM, said:

how many boards per round Nuno? I'd be reluctant to turn imps to VP unless there was enough boards per round,

We'll be playing 8, 10 or 12 boards/round, depending on the number of pairs.

By the way, since the division of cross-imps by number of comparisions can generate fractional imps, can anyone give me a link to a fractional VP table?

If you have a fractional VP table like the USBF uses then you can extrapolate from the IMP differences. So if one pair has 3.54 you'd give them 11.486 VP using that table (VP for 3 + .54 * (VP for 4 - VP for 3)).

One other option though if you are playing IMP pairs is to just not convert to VP. That is what we do locally for IMP pair events. I realize that if you are doing some sort of swiss pairs this may not work, but there is no reason why IMP pairs automatically means that.
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#33 User is offline   barmar 

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Posted 2010-March-03, 09:17

helene_t, on Mar 3 2010, 03:45 AM, said:

What you could do is to let GIB or Jack or w/e play the hands and use such artificial SD results as par.

We did something like that a couple of times several years ago at my club. We didn't use robots, we had one table with two expert pairs playing all the boards, and everyone else was IMPed against them. And after the session, one of the experts stuck around to analyze the interesting hands and answer questions.

I wonder if BBO would be interested in implementing this type of tournament. Perhaps the Cayne team could be recruited to play as the datum table occasionally in place of one of their daily team games.

#34 User is offline   helene_t 

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Posted 2010-March-03, 10:26

barmar, on Mar 3 2010, 04:17 PM, said:

I wonder if BBO would be interested in implementing this type of tournament. Perhaps the Cayne team could be recruited to play as the datum table occasionally in place of one of their daily team games.

Interesting idea.

One problem is that those interested in playing such tournament would often also be interested in watching the Cayne match itself.
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#35 User is online   mycroft 

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Posted 2010-March-03, 11:49

Another way of limiting one match (which is what IMP->VP does; it's designed also to mitigate the "one blowout determines the event" factor, while not eliminating the "big win better than small win" factor completely (as would win-loss)) is simply to score by total IMPs, but cap the maximum IMP/match to something reasonable, like whatever the 25-5 (on WBF "25"-point scale) floor is (like the Cavendish Pairs rule that IMPs on a board are capped to 17*comparisons).
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#36 User is offline   Trinidad 

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Posted 2010-March-04, 11:46

whereagles, on Mar 3 2010, 10:03 AM, said:

By the way, since the division of cross-imps by number of comparisions can generate fractional imps, can anyone give me a link to a fractional VP table?

You can easily calculate the table yourself. All VP tables are derived from the table for 32 boards. (see e.g. http://www.ecatsbrid...mps_to_vps.asp)

You can derive the VP table for another number of boards, N, by multiplying the upper limits of the 32 board table by sqrt (N/32). You can see this by comparing the upper boundaries for 8 boards with the upper boundaries for 32 boards. The upper boundaries for 8 boards are exactly half of the upper boundaries for 32 boards.

You don't need to round anything. You just need to realize that the upper boundary is the fixed number and that the lower boundary of the next range is not 1 IMP higher, but 0.000000....1 IMP higher.

Rik

P.S. Whether it is wise to use fractional IMPs and fractional VP tables is another question. I would just round the IMP total and use the standard (rounded) VP table that people are comfortable with. But I wanted to point out that it isn't necessary to do that and that you can calculate VP tables with fractional IMP boundaries.
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