May 29, 2006

The Phoenix Riddle Hath More Wit By Us

Posted By: hdouble hdouble

"Change is the constant, the signal for rebirth, the egg of the phoenix."
--Christina Baldwin

My old friend Iggy has often written, "In poker, stasis = death." Loyal readers have noticed that this blog has been both dead and static lately, but the times they are a changin'. There is a lot of change around the corner for yours truly, and hopefully these changes can resurrect both this blog and my poker play, which has been sparse recently due to my committment to my job.

old dylan

I'm not going to get into details at the moment, but a big geographical move is around the corner. I'm hoping that an escape from a 7 year sentence in the Los Angeles area (3 in the OC and 4 more in LA proper) will soothe my soul and clear my thought-polluted brain.

The big change to this blog is that you'll be hearing from a new voice, my best friend from forever and ex-protege, Monk. He's come a long way since his first guest post in August of 2004, grinding it out professionally for the last year and a half. He'll be posting his wisdom here on a regular basis so I won't say too much about him, but I will say that he is a warrior at the poker table, and I admire his tenacity. Unlike me, he is a real online pro, and if he doesn't win, he doesn't eat, so his perspective on the game is much different than mine.

There have been plenty of rough patches for him along the way, but maybe the moment that has given me the most joy in my "poker life" was seeing this:

That's his name up there as the winner of the Full Tilt Poker $200K guarantee.

More from Monk to come soon.

But enough about change, let's get back to what this blog is all about-- thinking about poker. Although I haven't been putting in the hours on the felt, I have been doing a lot of thinking about the game. And of course, collecting data. Thanks to some new tools, I've been able to accumulate lots of data on some of the "regulars" in the higher limit games at Party Poker (mostly $30-$60).

I keep waiting for someone else to do the data analysis for me, but I've yet to see anyone break down the Poker Tracker numbers on a big hand history database and offer up some statistical poker wisdom. Maybe there are some folks out there in the process of crunching the numbers, but until then, I'm going to have to do it myself.

The Shape of a Winning Online Poker Player

I dabbled in a bit of horse racing handicapping recently, and while it had a much different flavor than my old econometrics classes, the method was very similar. In econometrics, the economist basically takes a glob of numbers and figures out the meaningful patterns in these numbers. The "figuring out" requires both an expert knowledge of statistical techniques, and more importantly, knowledge and experience in the domain being analyzed. In handicapping a horse race, the expert takes in the data from various input (e.g. The Daily Racing Form, Past Performances, etc.) and determines the "shape" of the race-- the expert can visualize the way the race will play out based on knowledge of what the statistics mean and his experience with the relationship between the statistics and past race outcomes.

Aside: In fact, I think that the difference in ability to make sense of, or "filter", sensory data (primarily visual and cognitive) differentiates the best poker players in the world. Basically, Phil Ivey is an expert at stripping away the useless sensory data and focusing on the information that reveals the type of hand his opponent holds. But that's a topic for another post...

For a long time, I've wondered if there is some statistical commonality between winning poker players. I think that many different styles can be successful for different players-- some players are tight aggressive winners, and some get bored playing that style and can only succeed as loose aggressive players. But the numbers never lie-- what if there was some common statistic that all winning players shared? What if there was something hidden in the mess of data that might clue one in to some optimal way of playing poker?

To extract the wisdom of the statistics gathered from millions of hand histories... To "mine" the poker knowledge contained in every hand played by good and bad players...

I've started on this path, and although I don't think I've found any diamonds yet, the mining has just begun. For now, I'm hoping a surface-level investigation of the data will reveal some interesting patterns and lead me to better questions.

Before we get into the asking and answering of questions, let me fill you in on the basic characteristics of the data:


  • All hands come from Party Poker, $15/$30 Fixed Limit or above, where there were at least 7 players in the hand

  • For now, I'm limiting the analysis to players with more than 4,000 hands observed-- this leaves us with 115 players, a relatively small sample, but large enough to make some reasonable conclusions

  • Data collection began on April 26th, so it is safe to assume that the majority of the players in the analysis are "pros," since observing over 4K hands for a single player means they were playing nearly every day for several hours

Question 1: How many of these "pros" are winners?
We'd have to guess that significantly more than half of the players with over 4,000 hands in a relatively short period of time are winners-- if they play that much, they definitely have the discipline to grind it out, an attribute usually correlated with winning. Also, they are still playing, which means they didn't go broke.
Answer: 68 winners (59%), 47 losers (41%)
37% of the 68 winners made more than 2 big bets per 100, and 59% made more than 1 big bet per 100, suggesting that these folks are making a nice hourly rate (nearly all of the players in the sample were $30/$60 players).

As suspected, the grinders are grinding out a nice win rate, and most of the winners are making between 1 and 2 bb/100. This fits with the Sklanskyish estimates of win rate in reasonably tough games.

Question 2: How much are the winners winning and the losers losing?
Answer: 57% of all players won between 0 and 2 big bets per 100 hands.

The histogram shows that although most winners fall in the 0-2 bb/100 range, 11 (10%) of the 115 players were "big winners," winning at least 3 big bets per 100 hands. The average number of hands per table hour in this group was 70, so if these players are 4 tabling, that puts their true win rate at $432 per hour. The query for true win rate is a bit hard to formulate, so I'll save that one for later.

Among losers, 14 players (30%) lost more than 1 big bet per 100, and 11 of these lost more than 2 big bets per 100, compared to 22 players who won more than 2 big bets per 100. Not surprisingly, the losers either stop playing or drop down in limits, while the winners don't go anywhere.

Question 3: How tight are the winners playing (more specifically, what percentage of hands are they voluntarily putting money in the pot with)?
Answer: 61% of the winners were between 15% and 21% VPIP.

The above shows that playing tight works well in the Party $30-$60, but it isn't the only way to win. The top 3 winners in dollar amount won all had a vpip% of 20%. "Tight is right" theorists point to the 4th leading winner by dollar amount, who had a VPIP% of 15% (and a win rate of 1.66 bb/100), meaning he plays premium hands only. Those who advocate looser play look to the 6th leading winner in dollar amount won, with a VPIP% of 29% and a win rate of 2.8 bb/100.

Question 4: How much do the winners raise before the flop?
Answer: 60% raised pre-flop between 10% and 13% of the time.

Comparing the pre-flop raise % with the VPIP above shows us that the majority of winning players nearly always come into the pot with a raise. I haven't run the query to check for this, but since the average vpip% for winners exceeds the average pfr% by only 6%, it is clear that most of the hands played are for a raise. When you factor in blind defense, it's evident that most winners rarely limp or call raises preflop, but nearly always raise.

Question 5: How often do the winners win when they show down a hand?
Answer: 59% of winners were in the 51% to 57% range.

This statistic always interested me, because it's a strong indicator of style. A player who shows down a lot of bluffs is going to get paid off more often, and possibly win bigger pots than the average non-bluffing player. Conversely, a weak-tight player is going to win more often when they do show down, but probably isn't going to show down very often. While I think that this statistic is relatively useless for the most part, the major point is that winners win only slightly more than half the time they show down a hand.

So what does it all mean?
While I'm just scratching the surface, I think the above statistics tell us that:

  • Most of the pros at $30-$60 are doing quite well

  • A small percentage of players are killing the game, and a smaller percentage are getting killed

  • A win rate of 1 bb/100 puts you in the top 37% of winning grinders at this level

  • Most winners put money in voluntarily around 20% of the time

  • Most winners raise around 12% of the time, and rarely come into a pot without raising

  • Most winners take the pot slightly more than half the time they show down a hand

Good luck out there-- if anyone has any hand histories at the $15-$30 level or above that they'd like to contribute, contact me via email or leave a comment. Your player name and the players in the database will never be released or revealed, and the data provided will never be resold, but will be used for research purposes only. Your help would be much appreciated.


Posted by hdouble at May 29, 2006 05:01 PM

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Comments

Man oh man, have I missed reading posts like this :)

Thanks Hank! Looking ofrward to haearing from Monk :)

Posted by: pokerprof at May 30, 2006 08:22 AM

Welcome back Hank.

I've sent you an email re the stats.

Posted by: Div at May 30, 2006 11:53 AM

Fascinating stuff, Hank.

Missing you and the lovely Sophia and the "Row"...

Posted by: change100 at May 30, 2006 03:00 PM

WOW! That is some real intelligent analysis, Hank. You are doing all of your readers (myself included) a HUGE service by posts like this. Thanks a million.

Posted by: Jordan from HighOnPoker at May 31, 2006 08:29 AM

Wow.. once again, I am floored by the insight. Great post.

Posted by: StatikKling at May 31, 2006 10:55 AM

Very interesting. I would be really curious to see what the top NL games are like.

Is it still possible to mine over at PartyPoker? I thought that the ability to mine there was removed a few months back.

Thanks!

Posted by: PokerFool at June 1, 2006 06:56 AM

Hi. I've been a reader for a little while now, but this is my first comment. This is an excellent post! Thanks for sharing this analysis. I am not (yet!) playing at these levels, but I do put in a pro grinder amount of hours at the table, both on- and off-line. I PokerTrack myself, and you've definitely given me a lot to think about. Thanks!

Posted by: Bobby the Worm at June 1, 2006 07:49 AM

Great post double.

My only concern is that 4K hands is a very small sample to make conclusions, but it could be a good starting point.

Bye!

Posted by: Simon at June 1, 2006 03:16 PM

Fantastic info, fantastic post.

And I disagree that 4k hands is too small a sample: the reason is because it's 4k hands across over 100 players. While 4k isn't nearly enough to draw conclusions which are reasonably unaffected by normal variance, it IS enough when spread across 115 people to drill down to a very good idea of the characteristics of typical mid-limit winning (and losing) players.

I'd actually be interested in seeing some more of the stats of the losing players: to get an idea of how their characteristics contrast with the winners (I have an idea what the answer would be, but it's always nice to see the actual analysis).

Posted by: Beck at June 3, 2006 10:49 PM

I really really enjoyed reading this post I'm a small limit player, and have been trying tirelessly to data mine my own stats and the players I observe to figure out what the other guys are doing right, and what I'm not.

I loved your approach. It seems to me that the biggest indicator of success as I have been able to determine it is Post flop aggression. If the Aggression factor is over 3 (this is in 6 max) then there is like an 80% chance someone is a winner, assuming more than 200 hands played. And at most levels. I would love to get you're comments on this and see if you agree with my analysis.

Thanks for the great post.

JR

Posted by: James Robinson at June 23, 2006 09:48 AM
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