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jman5581 12-17-2007 02:38 PM

let's see... only a 10% chance that I'm betting with a 5% disadvantage... eek, I'm already in over my head... but I think I'm sounding pretty smart... in that case, I will not argue with you.

Dunbar 01-09-2008 04:34 PM

Quote:

Originally Posted by jman5581
Just finished all my law school finals, so I've got time back on my hands... :)

dunbar, about a month ago you wrote... "I've got to catch a plane in a few hours, but at some point I'd like to write some more about the statistical significance of jman's results."

I'd be interested in hearing what it is you have to say.

jman, I finally got around to looking at this again. Let me see if I can produce some statistics without (1) making a mistake, or (2) putting you to sleep.

Here's what I did:

1. I calculated the average result of your 119 show bets. You lost an average of $0.008 per $2 show bet.

2. I calculated the standard deviation of your 119 show bets. The standard deviation is 0.94, based on $2 bets.*

3. I calculated the "standard error", which is the standard deviation divided by the square root of the number of bets. 0.94/sqrt(119) = 0.09.

Armed with this data, the challenge is to tell whether your good performance was just a matter of luck. (like a roulette player who just happens to hit a few numbers.)

Consider these two "tests":

Test 1: Can we distinguish jman's record from someone who loses at the track take, say 16%?

A -16% bettor would lose $0.32 per bet compared to jman's $0.008. A 32 cent loss is more than 3 standard errors worse than jman's loss. A 3-standard error result should occur by luck in about one in 700 cases. I think we can assume that jman's picks were clearly better than the track take.

Test 2: Can we distinguish jman from someone who picks well enough to lose at just 5%?

A -5% capper would lose $0.10 per $2 bet. That's about $0.09 worse than jman's result. The difference between a -5% capper and jman result for his 119 bets is about one standard error. That kind of difference occurs by luck about 1 time in 6. We can't really rule out the luck element at that level.

Bottom Line: Your picks clearly showed that the difference between your results and a dart-thrower is statistically significant. But we'd need more picks to say that you're doing better (in a statistically significant sense) than a capper who has a 5% average loss.

Bottom Line, version 2: There's less than 1 chance in 700 that a dart-throwing capper could have produced results as good as yours. There's about 1 chance in 6 that a capper who averages a 5% loss could have produced results as good as yours over the course of 119 bets.

--Dunbar

* one easy way to do this is use the Excel function, =STDEVA(C1:C119), where the payoffs are in cells C1 down to C119.
.

jman5581 01-09-2008 07:39 PM

Well, there you have it folks... thanks Dunbar! We make a great team, I do all the fun part and you do all the grunt work because a) I'm too lazy and/or b) inept. Thanks for helping out with the experiment and good luck on your picks.

Dunbar 02-22-2008 03:54 PM

Quote:

Originally Posted by Dunbar
Pepper's Pride won and paid $2.10 to show.

Running total after 2 bets is $110.25.

The average show pool today at Sunland had maybe $3500 in it. The 9th race (with Pepper's Pride) had a $150,000 show pool. 96.4% of the money in the pool (as shown by YouBet) was on Pepper's Pride. That's as high a percentage as I've seen.

--Dunbar

Bet #3, as I rocket toward untold wealth... I'm going to pocket the $0.25 and put the remaining $110 on:

2/24 Gulf#10 War Pass to show.

--Dunbar

Mortimer 02-22-2008 04:11 PM

Pace Dismantlage material.

Dunbar 02-25-2008 05:22 PM

Quote:

Originally Posted by Dunbar
Bet #3, as I rocket toward untold wealth... I'm going to pocket the $0.25 and put the remaining $110 on:

2/24 Gulf#10 War Pass to show.

There was no show betting. Gulfstream wimped out when the field was reduced to 5.

--Dunbar

Dunbar 03-14-2008 03:22 PM

Quote:

Originally Posted by Dunbar
Bet #3, as I rocket toward untold wealth... I'm going to pocket the $0.25 and put the remaining $110 on:

2/24 Gulf#10 War Pass to show.
.
.
.
There was no show betting. Gulfstream wimped out when the field was reduced to 5.

I'll try again with War Pass:

Bet #3,
3/15 Tampa Bay Derby. $110 on War Pass to show.

--Dunbar

Dunbar 03-16-2008 04:12 AM

Quote:

Originally Posted by Dunbar
I'll try again with War Pass:

Bet #3,
3/15 Tampa Bay Derby. $110 on War Pass to show.

War Pass finishes last. Bet loses.

Back to square one.

--Dunbar

Dunbar 06-12-2008 04:06 PM

Okay, Round 2 begins.

$100 to show on Histericalady in the Fleur d' Lis, CD 6th, 6/14

--Dunbar

Rupert Pupkin 06-12-2008 07:06 PM

Quote:

Originally Posted by Dunbar
jman, I finally got around to looking at this again. Let me see if I can produce some statistics without (1) making a mistake, or (2) putting you to sleep.

Here's what I did:

1. I calculated the average result of your 119 show bets. You lost an average of $0.008 per $2 show bet.

2. I calculated the standard deviation of your 119 show bets. The standard deviation is 0.94, based on $2 bets.*

3. I calculated the "standard error", which is the standard deviation divided by the square root of the number of bets. 0.94/sqrt(119) = 0.09.

Armed with this data, the challenge is to tell whether your good performance was just a matter of luck. (like a roulette player who just happens to hit a few numbers.)

Consider these two "tests":

Test 1: Can we distinguish jman's record from someone who loses at the track take, say 16%?

A -16% bettor would lose $0.32 per bet compared to jman's $0.008. A 32 cent loss is more than 3 standard errors worse than jman's loss. A 3-standard error result should occur by luck in about one in 700 cases. I think we can assume that jman's picks were clearly better than the track take.

Test 2: Can we distinguish jman from someone who picks well enough to lose at just 5%?

A -5% capper would lose $0.10 per $2 bet. That's about $0.09 worse than jman's result. The difference between a -5% capper and jman result for his 119 bets is about one standard error. That kind of difference occurs by luck about 1 time in 6. We can't really rule out the luck element at that level.

Bottom Line: Your picks clearly showed that the difference between your results and a dart-thrower is statistically significant. But we'd need more picks to say that you're doing better (in a statistically significant sense) than a capper who has a 5% average loss.

Bottom Line, version 2: There's less than 1 chance in 700 that a dart-throwing capper could have produced results as good as yours. There's about 1 chance in 6 that a capper who averages a 5% loss could have produced results as good as yours over the course of 119 bets.

--Dunbar

* one easy way to do this is use the Excel function, =STDEVA(C1:C119), where the payoffs are in cells C1 down to C119.
.


Excellent work as always Dunbar!

dalakhani 06-12-2008 08:04 PM

This is absolutely one of the most informative threads i have read on this or any other website.

Thank you Jman and Dunbar!!! Cheers to the both of you!

Dunbar 06-12-2008 08:16 PM

Dalakhani and Rupert, thanks for the nice comments!

--Dunbar

Dunbar 06-16-2008 11:40 AM

Quote:

Originally Posted by Dunbar
Okay, Round 2 begins.

$100 to show on Histericalady in the Fleur d' Lis, CD 6th, 6/14

With the field reduced to 5, Churchill Downs cancelled show betting in obvious fear of my massive play.

So, no bet.

--Dunbar

Dunbar 09-20-2008 08:58 AM

Another try at getting Round 2 of my show parlays off the ground:

$100 to show on Indian Blessing in the Gallant Bloom Hdcp, race 9 at Belmont today.

Let's see if they allow show betting.

--Dunbar

Dunbar 09-20-2008 10:00 PM

Quote:

Originally Posted by Dunbar
Another try at getting Round 2 of my show parlays off the ground:

$100 to show on Indian Blessing in the Gallant Bloom Hdcp, race 9 at Belmont today.

Let's see if they allow show betting.

Foiled again. With the scratch there was no show betting.

--Dunbar

dalakhani 10-31-2008 09:51 AM

can i play one with you guys?

Dunbar 11-01-2008 07:23 AM

Quote:

Originally Posted by dalakhani
can i play one with you guys?

This reply may be too late for the one you were thinking of, but I certainly don't mind if you keep track of your own plays in this thread.

--Dunbar

dalakhani 11-01-2008 11:01 AM

Quote:

Originally Posted by Dunbar
This reply may be too late for the one you were thinking of, but I certainly don't mind if you keep track of your own plays in this thread.

--Dunbar

are you going to play another one Dunbar?

Dunbar 11-02-2008 06:52 AM

Quote:

Originally Posted by dalakhani
are you going to play another one Dunbar?

Yes, but I expect it to be at the same torrid pace of plays I've already been posting.

--Dunbar


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