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MPRanger
04-28-2012, 10:59 PM
I'm hoping someone smarter than me can help me figure this out;
In Ziemba and Hausch's Dr. Z's Beat The Ractrack Chapter 3, entitled
Applying Stock Market Efficiency Concepts to Horseracing Betting Markets,
the authors present the case of the efficiency of the toteboard.

They also point out a certain inefficiency as far as the toteboards fractional
odds and the natural decimal percentages. However, if I understand this
right, you can account for this longshot - favorite bias and adjust for it so as
to bring the toteboard odds back into a higher measure of efficiency.

I'm alright with that part. I believe in the efficient market hypothesis. I
believe the toteboard is efficient, not as tight as an NFL point spread but
generally very accurate.

One of my problems is that I don't naturally think in the same terms as the
way they wrote. For example, I think in terms of Track Take Out as opposed
their reference to Track Pay Back. GP has a 17% takeout. I go 100-17=83.
To get true odds for a 2-1 shot I'll take .83*33.33 to get 27.66.

On page 38 there is table 3.2, it shows adjustments for the bias but
it includes the "Track Payback" figure. They got these adjustment numbers
by comparing actual results with post time odds. But even their own "Track
Payback" numbers don't make sense to me. I can't reproduce their numbers
by what I see in the book. There are several other charts preceding fig 3.2
which are interesting but they don't seem to be connected in a way that
one leads to the next and this is the result. In fact they are from several
different studies. They seem to be presented more as examples than as
premises.

It could be that I'm just missing something because I'm not really a math
guy. And this is what I'm asking for assistance with or at least some ideas
if anyone wants to discuss it.

To keep it simple:

1.) 1-1 fractional odds decimal equivalent = 50%
2.) Track Take Out = 17%
3.) Their LS-Fav Bias adjustment number is 8.2

Ok, I would go like this:

100-17=83
.83 x 50 = 41.5
Then add their adjustment back in?
41.5 + 8.2 = 49.7

But they don't speak this language.
They show "Track Payback" (NY 17%) for the above as 90.2.

I don't see how they get this number or even why they would use
this number as opposed to true odds.

Also, I'm aware that Barry Meadow found errors in their predictions
for place and show due to using a the Harville formulas which do
not account for horse and jockey's giving up or other living being
factors. But this is different from that. I respect these authors and think
they have done a great study even if flawed in some ways. I'm not saying
this LS-Fav bias thing is flawed, just that I don't quite understand it.

So, what better place to come with this than PaceAdvantage.com

Dark Target
05-01-2012, 07:01 AM
Apparently there are many better places than PA :bang:

Not one reply....

I haven't read that particular paper, but many similar. I certainly wouldn't advise using a universal "bias adjustment number" though. Without ever looking in depth at the US markets, it would seem highly unusual for the bias to be uniform right through the odds ranges.

I can tell you the Australian parimutuel prices are horribly inefficient, and the Betfair markets on the same product are remarkably efficient. Using a universal bias adjustment number would be no use at all on the Australian parimutuel markets.

Dave Schwartz
05-01-2012, 10:22 AM
Ranger,

Wouldn't the correct calculation begin with 100 divided by .83?

that is what I have always used.

Dave

Ray2000
05-01-2012, 10:37 AM
If you don't have this paper by Gramm and Owens, it might be of some help

The link address to the pdf is very long, just Google this..

Efficiency Across Wagering Pools and Arbitrage

GL

MPRanger
07-08-2012, 02:49 AM
Ranger,

Wouldn't the correct calculation begin with 100 divided by .83?

that is what I have always used.

Dave


Hmmm.... I don't see why. 100 / .83 = 120.48
I don't see what the 120.48 would mean.

Adjusting for true odds simply means that due to the takeout
the fractional odds as presented on the toteboard are not worth
100% of their natural value. In this case they would only be worth
83% therefore you would multiply the natural value * the true value.

Natural Value 3-2 = 40%

True value based on a 17% takeout would be:

True Value 3-2 is (40 * .83 = 33.2)

So, when you see 3-2 on the toteboard at LAD which has a 17% track take
the true odds of that horse winning are 33.2% not considering the
longshot - favorite bias.

This is more about the process than anything. It goes without saying that the
toteboard is never displaying up to the second info. I did a quick and simple
study one time by photographing video tote monitors and calculating the true
values. It wasn't even close to accurate. I'm not even sure that what you see
on the toteboard is all the same info tabulated on the same refresh cycle.
I think I still have those pics on one of my laptops. I could post them for
illustration but I have not had any luck posting graphics here when I tried in
the past.

MPRanger
07-08-2012, 03:00 AM
If you don't have this paper by Gramm and Owens, it might be of some help

The link address to the pdf is very long, just Google this..

Efficiency Across Wagering Pools and Arbitrage

GL

Thank you. I do have it.

It's very interesting and worthwhile info but it is a different issue
than the long shot - favorite betting bias. The article mentions the
bias as I recall but's its more about letting the public do your handicaping
for you in one pool so you can bet in another. I've done it quite a bit. It
works but it's too boring to me. I think that article say's that arbitrage does
not ultimately work though.

MPRanger
07-08-2012, 04:03 PM
I'm alright with that part. I believe in the efficient market hypothesis. I
believe the toteboard is efficient, not as tight as an NFL point spread but
generally very accurate.



I should say the final odds are generally very efficient. Deciphering the toteboard trend is an art not a science.

highnote
07-08-2012, 11:40 PM
One thing you can do with Table 3.2 is find the favorite/longshot adjusted probability for winning.

Here is the formula:

(TrackPayback% +/- Bias%) / (Odds + 1)

This is the same as:

(Effective Track Take) / (Odds+1)

Assume a track has an 83% track payback (that's 17% track take). Then you adjust this track payback by the Favorite/Longshot Bias in order to get the "Effective Track Payback".

So for odds in the range of even money (1.00-1.19) the equation for the probability of winning is:

(83% + 8.2%) / (Odds +1) = 91.2% / 2 = 45.6%

An even money horse would have a 45.6% chance of winning when adjusted for the Favorite/Longshot Bias and 17% track takeout.

Now, if you're looking at a toteboard and you can only get the odds and not the actual pools then you use use the midpoint of the odds. That is, 8-1 adjusts to 8.5-1 because 8-1 could be 8-1 or it could be 8.99-1.

The adjustments in "Beat The Racetrack" also account for breakage.

I would recommend redoing these tables either universally for all the tracks in the U.S. or for the specific tracks you are going to bet. These charts are pretty old and the markets are filled with money being bet from big syndicates who are well aware of these biases.

You will probably find that the bias on favorites has disappeared for the most part. There was a bias on longshots last time I checked. I assume the bias on longshots in the pari-mutuel pools will always exist.

PS

In order to get the numbers in their table you would need their raw data. Otherwise, you can get your own data and construct your own tables. I will think about this and try to figure out how to describe how they did it.

AITrader
07-09-2012, 02:32 AM
Interesting paper along these lines -

http://irving.vassar.edu/MIEC/GrammOwens.pdf

pondman
07-09-2012, 04:11 PM
Without ever looking in depth at the US markets, it would seem highly unusual for the bias to be uniform right through the odds ranges.

I can tell you the Australian parimutuel prices are horribly inefficient, and the Betfair markets on the same product are remarkably efficient. .

US equities markets are less determinate than a track. Thoroughbred racing is analogous to picking the day your Italian, Ramona variety tomatoes will ripen. But Everyone is reading the same weather forecast. There are big pitfalls to the tote and trying to scalp. The biggest one- some connections bet, others don't. If the horse isn't being bet by it's connection it's floating on the back of the crowd, with it's weather report. It's odds will not respond as if it was standing outside. There never will be a correction-- and it's over. Equity by nature corrects itself.

In addition, just as you should understand your relative position before you throw your darts at equities, you should pick and choose your races. Wasn't Z method a S. Cal passing thought?

podonne
07-09-2012, 04:35 PM
Interesting paper along these lines -

http://irving.vassar.edu/MIEC/GrammOwens.pdf

I've seen this paper before, but a thought just ocurred. The author seems to state pretty definitively that late money flows to the favorites


In each case late money flows to the favorites in all pools. The subjective probability increases for the top two favorite positions in all pools, including a five percentage point increase for place and show wagers

If you can forecast where the late money will go, shouldn't it be simple to use that forecast to estimate where you should bet, rather than restricting yourself to the actual pool totals at PT and final?