Kurt,
I would be interested should your result come to different conclusions than=
Andrews. (Would be nice if you tabulate your results similar to Andrew, wh=
ich would make it easy to compare.=20
I am interested in the practical aspect of hand evaluation.=20
What is the value of a hand assuming you know little about partners and opp=
onents. I understand there are big variations. =20
I am less interested in predicting the trick result for 2 hands combined, b=
ut on average it is assumed it would be additive. =20
I have analyzed Thomas Andrews work in some detail and I use a primitive va=
riation of Binky points, but which is usable for me at the table.
I understand valuing suit holdings according to whether they are trumps or =
in a side suit makes sense, but complicates the matter further.
The question, which is less clear to me, is how much you would gain at the =
table by this additional complication . =20
Once I find a fit and a trump suit I tend to switch to my version of NLTC.
This sort of evaluation also gives inside whether a hand is more suitable f=
or notrump or for suit play.=20
For example AJxx AJxx xxx xx is a better hand than KQJx KQJx xxx xx, partic=
ularly when it comes to suit play. At notrumps these 2 hands may be close. =
Hi Rainer,
I have written an app that compares multiple methods (K&R, Goren, jogs, Binky, Unified [DD version], NLTC, and soon Ronald Kalf's method, once I complete the algorithm) against DD results for correlation purposes. I can also include SD results but that will skew against Binky, since it was derived specifically from DD data. Unfortunately, in order to compare with actual DD data, you have to determine the Binky and Unified values for both declarer and dummy, and then add them together - which hurts Binky.
Using this additive method over an unrestricted set of 10,000 hands (deal and play), results from Gretl show:
1) DD = 0.9998*Unified-.003 (essentially DD=UN), ADJ R2 = 0.87, SE of Regression = 1.0
2) DD = 1.009*Binky-2.20, ADJ R2 = 0.46, SE = 2.0
3) DD = 0.32 *KR-.559, ADJ R2 = 0.43, SE = 2.1
Observations:
a) Unified passes through (0,0) - the others have a 1.5 to 2 trick negative offset
b) Unified R2 is significantly better than both Binky and K&R
c) Binky is better than K&R
d) Both Binky and Unified have the expected slope of 1.0 against tricks ( 1 trick = 1 trick)
e) K&R has a 0.32 slope -> 3 K&R points = 1 trick
If you'd like to see them simply compared against each other for opener only (but not against DD results), I can do that as well. Let me know privately (same email as when we corresponded 5 years ago) what specifically you would like to see.
From an opening hand perspective only, Binky and Unified compare favorably (more so for obvious trump suits like a 6or7card suit in Binky's case). As the trump suit length gets shorter, Binky over-estimates the value of the hand significantly (generally because there is a longer suit), making the additive results more inaccurate as well.
While this study uses the "exact" Binky and Unified values from tabular results, I also have a simplified model of the Unified Count usable at the table, only requiring weakening the value for offsuit honors, and adding a trump length component. When you consider other "popular" methods like K&R, this is far, far simpler and much more accurate.
Kurt
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