Re: scoring with a half table ( 13:56:50 ThuJul 17 2003 ) |
The common approach to scoring match pointed pairs where boards are played different number of times and/or pairs play different number of boards is (1) score each board with a common top and (2) score each pair relative to the number of boards they played.
(1) Determine how many times any board can be played (N), this is normally the number of rounds; unless every board is "played" by the missing pair, in which case it is one less. The common top is then the top on a board played the maximum number of times (N-1 in ACBL, 2N-2 in England).
Boards that are played N times are scored normally, boards that are played less than N times are most easily scored by putting half the missing match points at both the top and bottom. If a board is played M<N times, match point normally with a top of M-1 and then add (N-M)/2 to all the match points: getting scores in the range (N-M)/2 to (N+M)/2-1. [A more sophisticated method factors the scores and involves decimal points and computers.]
(2) Add all scores for a pair on the boards they played and divide by the common top (N-1) and the number of boards played (P) to get a percentage score for the pair. Rank the pairs in order of their percentage scores.