There's a thread on the PA site where deriving an odds line using normalized ZScores was being discussed: http://www.paceadvantage.com/forum/showthread.php?t=41075
I read the thread (post #37) a few days ago and did some R&D. I developed an algorithm that takes a "number" for every horse in a given race and derives a probability using normalized ZScores.
Here is the probability distribution created using the normalized ZScores of my own UPR for calendar year 2007:
Data Window Settings: Divisor = 999 Odds Cap: None Surface: (ALL*) Distance: (All*) From Index File: C:\2008\pl_Complete_History_07_Z.txt) Data Summary Win Place Show Mutuel Totals 346722.80 344952.90 342315.20 Bet -453916.00-453916.00-453916.00 Gain -107193.20-108963.10-111600.80
Wins 27794 55312 81505 Plays 226958 226958 226958 PCT .1225 .2437 .3591
ROI 0.7638 0.7599 0.7541 Avg Mut 12.47 6.24 4.20
By: Prob: Normalized ZScore
>=Min < Max Gain Bet Roi Wins Plays Pct Impact -999.00 0.00 0.00 0.00 0.0000 0 0 .0000 0.0000 0.00 0.05 -31810.90 84882.00 0.6252 1994 42441 .0470 0.3836 0.05 0.10 -28809.10 95964.00 0.6998 2963 47982 .0618 0.5043 0.10 0.15 -27160.30 131658.00 0.7937 7388 65829 .1122 0.9164 0.15 0.20 -12189.10 81856.00 0.8511 7440 40928 .1818 1.4844 0.20 0.25 -5221.10 35136.00 0.8514 4240 17568 .2413 1.9708 0.25 0.30 -915.00 13984.00 0.9346 2040 6992 .2918 2.3824 0.30 0.35 -1087.70 10436.00 0.8958 1729 5218 .3314 2.7057 0.35 0.40 0.00 0.00 0.0000 0 0 .0000 0.0000 0.40 0.45 0.00 0.00 0.0000 0 0 .0000 0.0000 0.45 0.50 0.00 0.00 0.0000 0 0 .0000 0.0000 0.50 0.55 0.00 0.00 0.0000 0 0 .0000 0.0000 0.55 0.60 0.00 0.00 0.0000 0 0 .0000 0.0000 0.60 0.65 0.00 0.00 0.0000 0 0 .0000 0.0000 0.65 0.70 0.00 0.00 0.0000 0 0 .0000 0.0000 0.70 0.75 0.00 0.00 0.0000 0 0 .0000 0.0000 0.75 0.80 0.00 0.00 0.0000 0 0 .0000 0.0000 0.80 0.85 0.00 0.00 0.0000 0 0 .0000 0.0000 0.85 0.90 0.00 0.00 0.0000 0 0 .0000 0.0000 0.90 999999.00 0.00 0.00 0.0000 0 0 .0000 0.0000
to be continued...
-jp
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~Edited by: jeff on: 6/27/2008 at: 12:28:34 PM~
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