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End of Season Simulator by BigBigRed

Discussion in 'Houston Rockets: Game Action & Roster Moves' started by ScriboErgoSum, Mar 30, 2009.

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  1. BigBigRed

    BigBigRed Member

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    Latest NBA results used: Apr 13


    Western Conference Average Wins
    Code:
    Team       Wins
    ====       ====
    Lakers     64.8
    Nuggets    54.3
    Spurs      53.7
    Blazers    53.7
    Rockets    53.5
    Mavericks  49.5
    Hornets    49.3
    Jazz       48.2
    
    Western Conference Wins (Percent)
    Code:
    Team        48    49    50    51    52    53    54    55    56    57    58    59    60    61    62    63    64    65  
    ====       ===== ===== ===== ===== ===== ===== ===== ===== ===== ===== ===== ===== ===== ===== ===== ===== ===== =====
    Lakers      0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0  23.0  77.0
    Nuggets     0.0   0.0   0.0   0.0   0.0   0.0  66.1  33.9   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0
    Spurs       0.0   0.0   0.0   0.0   0.0  31.6  68.4   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0
    Blazers     0.0   0.0   0.0   0.0   0.0  33.9  66.1   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0
    Rockets     0.0   0.0   0.0   0.0   0.0  53.2  46.8   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0
    Mavericks   0.0  46.8  53.2   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0
    Hornets     0.0  68.4  31.6   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0
    Jazz       77.0  23.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0
    
    Western Conference Placement (Percent)
    Code:
    Team       1st   2nd   3rd   4th   5th   6th   7th   8th   out
    ====      ===== ===== ===== ===== ===== ===== ===== ===== =====
    Lakers    100.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0
    Nuggets     0.0  69.3  30.7   0.0   0.0   0.0   0.0   0.0   0.0
    Spurs       0.0   0.0  36.2  11.1  52.7   0.0   0.0   0.0   0.0
    Blazers     0.0   0.0  11.4  65.4  23.2   0.0   0.0   0.0   0.0
    Rockets     0.0  30.7  21.8  23.5  24.0   0.0   0.0   0.0   0.0
    Mavericks   0.0   0.0   0.0   0.0   0.0  36.2  52.9  11.0   0.0
    Hornets     0.0   0.0   0.0   0.0   0.0  56.3  35.5   8.2   0.0
    Jazz        0.0   0.0   0.0   0.0   0.0   7.6  11.6  80.9   0.0
    
    Western Conference Division Title (Percent)
    Code:
    Team      Northwest Title Percent
    ====      ======================
    Nuggets   100.0
    Blazers     0.0
    Jazz        0.0
    
    Team      Pacific Title Percent
    ====      ======================
    Lakers    100.0
    
    Team      Southwest Title Percent
    ====      ======================
    Spurs      36.2
    Rockets    63.9
    Mavericks   0.0
    Hornets     0.0
    
    
    Western Conference Playoff Advancement (Percent)
    Code:
    Team       To 1st  To 2nd  To Conf To Fnls Champs
    ====       ======= ======= ======= ======= =======
    Lakers     100.0    85.7    64.9    52.5    22.6
    Nuggets    100.0    68.0    37.2    11.3     1.9
    Spurs      100.0    49.1    19.0     6.7     1.1
    Blazers    100.0    62.9    23.9    13.3     3.1
    Rockets    100.0    59.2    28.3    10.5     2.0
    Mavericks  100.0    28.8    10.3     1.8     0.2
    Hornets    100.0    26.9     9.3     1.6     0.1
    Jazz       100.0    19.4     7.3     2.3     0.3
    
    Eastern Conference Average Wins
    Code:
    Team       Wins
    ====       ====
    Cavaliers  66.9
    Celtics    61.6
    Magic      58.8
    Hawks      47.3
    Heat       43.0
    Bulls      41.7
    76ers      40.5
    Pistons    39.4
    
    Eastern Conference Wins (Percent)
    Code:
    Team        39    40    41    42    43    44    45    46    47    48    49    50    51    52    53    54    55    56    57    58    59    60    61    62    63    64    65    66    67  
    ====       ===== ===== ===== ===== ===== ===== ===== ===== ===== ===== ===== ===== ===== ===== ===== ===== ===== ===== ===== ===== ===== ===== ===== ===== ===== ===== ===== ===== =====
    Cavaliers   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0  14.1  85.9
    Celtics     0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   2.0  36.7  61.3   0.0   0.0   0.0   0.0   0.0
    Magic       0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0  17.1  82.9   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0
    Hawks       0.0   0.0   0.0   0.0   0.0   0.0   0.0  11.9  44.8  43.3   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0
    Heat        0.0   0.0   0.0  24.2  54.5  21.3   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0
    Bulls       0.0   0.0  28.4  71.6   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0
    76ers       0.0  56.1  39.0   4.9   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0
    Pistons    63.7  36.3   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0
    
    Eastern Conference Placement (Percent)
    Code:
    Team       1st   2nd   3rd   4th   5th   6th   7th   8th   out
    ====      ===== ===== ===== ===== ===== ===== ===== ===== =====
    Cavaliers 100.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0
    Celtics     0.0 100.0   0.0   0.0   0.0   0.0   0.0   0.0   0.0
    Magic       0.0   0.0 100.0   0.0   0.0   0.0   0.0   0.0   0.0
    Hawks       0.0   0.0   0.0 100.0   0.0   0.0   0.0   0.0   0.0
    Heat        0.0   0.0   0.0   0.0 100.0   0.0   0.0   0.0   0.0
    Bulls       0.0   0.0   0.0   0.0   0.0  84.1  15.9   0.0   0.0
    76ers       0.0   0.0   0.0   0.0   0.0  15.9  84.1   0.0   0.0
    Pistons     0.0   0.0   0.0   0.0   0.0   0.0   0.0 100.0   0.0
    
    Eastern Conference Division Title (Percent)
    Code:
    Team      Southeast Title Percent
    ====      ======================
    Magic     100.0
    Hawks       0.0
    Heat        0.0
    
    Team      Atlantic Title Percent
    ====      ======================
    Celtics   100.0
    76ers       0.0
    
    Team      Central Title Percent
    ====      ======================
    Cavaliers 100.0
    Bulls       0.0
    Pistons     0.0
    
    
    Eastern Conference Playoff Advancement (Percent)
    Code:
    Team       To 1st  To 2nd  To Conf To Fnls Champs
    ====       ======= ======= ======= ======= =======
    Cavaliers  100.0    97.3    92.2    63.1    47.4
    Celtics    100.0    94.2    61.4    24.2    14.8
    Magic      100.0    91.9    37.3    11.7     6.3
    Hawks      100.0    65.1     5.1     0.7     0.2
    Heat       100.0    34.9     1.8     0.2     0.0
    Bulls      100.0     7.6     0.7     0.0     0.0
    76ers      100.0     6.3     0.7     0.0     0.0
    Pistons    100.0     2.7     0.9     0.0     0.0
    
    ========================================

    Rockets Home Court Playoff Matchups By Round (Percent)
    Code:
    Team        1st    2nd   Conf   Final
    ====       =====  =====  =====  =====
    Hornets     24.2    6.3    0.5    0.0
    Mavericks   23.4    4.2    0.9    0.0
    Blazers     12.1    0.0    4.8    0.0
    Spurs       11.4    0.0    2.1    0.0
    Jazz         4.8    4.4    1.0    0.0
    Nuggets      0.0   15.2    0.0    0.0
    Hawks        0.0    0.0    0.0    0.1
    Heat         0.0    0.0    0.0    0.0
    Pistons      0.0    0.0    0.0    0.0
    Bulls        0.0    0.0    0.0    0.0
    76ers        0.0    0.0    0.0    0.0
    
    Rockets Away Playoff Matchups By Round (Percent)
    Code:
    Team        1st    2nd   Conf   Final
    ====       =====  =====  =====  =====
    Blazers     24.0    0.0    0.8    0.0
    Lakers       0.0   18.5   14.3    0.0
    Nuggets      0.0   10.6    2.3    0.0
    Spurs        0.0    0.0    1.5    0.0
    Cavaliers    0.0    0.0    0.0    6.6
    Celtics      0.0    0.0    0.0    2.5
    Magic        0.0    0.0    0.0    1.3
    
    Rockets Combined Playoff Matchups By Round (Percent)
    Code:
    Team        1st    2nd   Conf   Final
    ====       =====  =====  =====  =====
    Blazers     36.2    0.0    5.6    0.0
    Hornets     24.2    6.3    0.5    0.0
    Mavericks   23.4    4.2    0.9    0.0
    Spurs       11.4    0.0    3.7    0.0
    Jazz         4.8    4.4    1.0    0.0
    Nuggets      0.0   25.8    2.3    0.0
    Lakers       0.0   18.5   14.3    0.0
    Cavaliers    0.0    0.0    0.0    6.6
    Celtics      0.0    0.0    0.0    2.5
    Magic        0.0    0.0    0.0    1.3
    Hawks        0.0    0.0    0.0    0.1
    Heat         0.0    0.0    0.0    0.0
    Pistons      0.0    0.0    0.0    0.0
    76ers        0.0    0.0    0.0    0.0
    Bulls        0.0    0.0    0.0    0.0
    
    Rockets Home Court Advantage By Round
    Code:
    Round   Percent
    =====   =======
    First    76.0
    Second   30.1
    Conf      9.3
    Finals    0.1
    
    ================================

    One game left and here are the much anticipated probabilities.

    Enjoy!
     
    1 person likes this.
  2. DaDakota

    DaDakota Balance wins
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    I understand what probabilities are Easy....but I am not all that intersted in probabilities, I am more interested in using them as predictions etc.

    Probabilities change as each factor changes........what is hard to quantify is how good or accurate those probabilities are in the equation.

    Oh I understand, they are JUST probabilities.....yeah yeah, I get it.....but then what is the point?

    DD
     
  3. agentkirb87

    agentkirb87 Member

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    The point is you look at the western conference placement probabilities and go "oh hey, we're about even odds to get any of the 2-5 spots". You look at the odds of who we are facing in the playoffs. You look at our odds of having a homecourt matchup. People find this information interesting.

    To be honest, its probably not as exciting when we are 1 game away because we can pretty much figure out what the odds of certain things happening are ourselves. But back when we had like 10 games to go it was kind of cool to look and see what our odds were of winning the division according to the simulator
     
  4. DaDakota

    DaDakota Balance wins
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    Agreed, but then how do you guage the accuracy of said probabilities? That is what I am trying to get at?

    If the answer is...you can't...then what is the point.

    DD
     
  5. Hippieloser

    Hippieloser Member

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    DD, this just ain't your thread. We get it, you don't see the point. There's not a lot more to be said.
     
  6. ndnguy85

    ndnguy85 Contributing Member

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    i think i have to agree with DD here.

    if everyday...the probablility keeps changing..how is it helping us?

    last we had like a 49% chance of winning the southwest division...now it's like 64..that's with 1 game left..not much help if you ask me..
     
  7. jedicro

    jedicro Member

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    That's a fair criticism, maybe BigBigRed should work on a time machine so he can live these weeks 20,000 times over to see how it shakes out :D

    Really though there are ways to try and tell exactly how well the simulator has done. At first it said the chances of Utah being the 8 seed were low, but it wasn't likely at the time that they would lose almost every single road game as well as home against Golden State and Minnesota. Those were unlikely pieces of information that caused an unlikely probability to come up. Likewise the Spurs have lost some games they shouldn't have as well as sustaned some injuries.

    And what's the point? How many "what do you think the seeds will be?" threads have there been in the last 2 months? This one is at least consistent and a lot more fun.
     
  8. HowsMyDriving

    HowsMyDriving Member

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    things like this are not designed to be "right". it's just designed to highlight most likely possibilities.

    Hollingers playoff odds thing works the same way.

    its just a tool to guide your thinking.
     
  9. agentkirb87

    agentkirb87 Member

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    What do you mean what is the point? Ask any of the people that wait for him to update the results after every game.

    Just because you can't know 100% the accuracy, doesn't mean you can't leave the season thinking that this simulator was solid. Look at what happened and how it happened. The two main "differences" in the first results and the last results. The Spurs were projected at #2 (which I believe they are mathmatically eliminated from getting now), and the Mavs were projected at #8. You can logically explain away those differences though. All of the other probabilities are about consistent with what happened. Which lets you draw the conclusion that this was a solid program.

    Whats the point you ask? Whats the point of anything? You can ask that question for about 80% of the threads on the forum. Its entertainment, its peace of mind, its interesting.
     
  10. agentkirb87

    agentkirb87 Member

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    This is a pet peeve of mind, people expect methods backed by math/science/programming to be a lot more accurate than regular methods. Why? I would argue that they should be AS accurate as regular methods, but they shouldn't be expected to be more accurate.
     
  11. DaDakota

    DaDakota Balance wins
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    Wait so you are looking at the accuracy of the formula too....ROFLMAO...that is exactly what I am doing.

    I understand the lure of the stats, I think it is cool, I am just more curious as to how the probabilities in the initial run played out.

    If they were highly inaccurate, then to me, it would be interesting to see what needs tweaking to up the accuracy.

    And yes, I understand probabilities change every day....and if all you are doing is looking at it for the probabilities, then fine...but a good many others are looking at it differently.

    DD
     
    #231 DaDakota, Apr 14, 2009
    Last edited: Apr 14, 2009
  12. HowsMyDriving

    HowsMyDriving Member

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    in this case there really isn't even an "accuracy" conversation to be had.

    when you do a simulation like this, the statements that are being made should be interpreted more like: "here are the scenarios that are possible given what we know, and of those scenarios, here's what the more likely end results look like"

    whether the actual result turns out to be the one that had a 30% likelihood of happening or the one that had a 2% likelihood, the simulation was still "right" and was still "accurate" because it told you it was possible in the first place.

    as to your comment though - you're right, but its more because stats tend to be black and white whereas qualitative datapoints are often phrased in shades of grey.
     
  13. agentkirb87

    agentkirb87 Member

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    I'm not. I've already determined that the accuracy of the formula is good enough.

    But I'm saying that it is possible to make an educated guess as to how good the formula is using the information we know now. If the formula was crap, then the simulator would've had weird probabilities that don't really make sense. Just use your brain and determine the accuracy of the simulator yourself.

    When this thing started, did projecting the Spurs at #2 make sense? Even though thats not what happened, like I said, it can be logically explained why they fell like they did. But given the information we had at the time thats a logical predictions.

    Did projecting the Mavs at #8 make sense? Even though that might not happen, considering the bad play of Utah and the good play of the Mavs, you can see why that wasn't what happened. But again... given the information we had a month ago, it makes sense.
     
  14. agentkirb87

    agentkirb87 Member

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    I understand DDs frustration. Maybe a month ago something that was said to be a 20% chance was really a 50% chance, or vice versa. There is no way to truly know how accurate it is. All you can do is use logic and make an educated guess as to how good the formula was.

    And DD, you keep saying that "you are curious as to how the projections play out". We are one game away from the end of the season. You can check his work right now if you want to. Does it meet your accuracy standards?
     
  15. bigbodymoe

    bigbodymoe Member

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    What I wonder is...How come we have a much higher chance of winning the division yet probability says we're more likely to be the 5th seed. Something about that makes not a bit of sense to me

    Moe
     
  16. thegary

    thegary Member

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    ^it's because the simulator hasn't gone "HAL" on us.
     
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  17. agentkirb87

    agentkirb87 Member

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    Because the requirement to win the division is that we have the tiebreaker over the Spurs and tie them or just outright beat them. Looking at the probabilities of both the Spurs and Rockets, they are mathmatically eliminated from the #2 seed and we're 30%, they have a pretty high chance to get the #5 seed due to the fact that they lose a lot of tiebreakers. We could get #2, #3 or #4 and hypothetically still have a decent shot at winning the division. Thats how we can have a decent shot at the #5 seed, yet still have such a high division winning probability.
     
  18. intergalactic

    intergalactic Member

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    DD is asking essential fundamental questions about how to interpret probabilities. With that in mind, comparing the actual results to the probabilities from a given date can be interesting, but interpreting them is trickier than it sounds.

    For example, suppose that the predictor says that we have a 4% chance of meeting the Jazz in the 1st round and then we actually meet the Jazz.

    That doesn't show that the predictor was wrong. It merely says that we ended up with an unlikely outcome given our assumptions about the predictor.

    If we want to be more quantitative about this, one could ask a question more amenable to statistical analysis, e.g. if we were to take the most likely playoff matchups predicted by the simulation, what fraction of these end up being actual matchups? Then we ask how that fraction compares to what some other prediction method would give (e.g. an example alternative predictor would be to take a survey of the matchups ppl expect here on clutchfans). Then we can compare which method does better.
     
  19. BigBigRed

    BigBigRed Member

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    Here's a quick addendum to the results from last night.

    The first three columns are whether or not the team wins.
    The fourth column is the simulator's estimated probability of the event.
    The last four columns are the relative placements in the Western Conference.

    Code:
    Last Game           Final Rank
    Hou Por SA   Prob Den Hou Por SA
    === === ===  ==== === === === ===
     0   0   0     6%   2   3   4   5
     0   0   1    12%   2   4   5   3
     0   1   0    11%   2   4   3   5
     0   1   1    24%   2   5   4   3
     1   0   0     5%   2   3   4   5
     1   0   1    11%   2   3   5   4
     1   1   0    10%   3   2   4   5
     1   1   1    21%   3   2   4   5
    
     
  20. agentkirb87

    agentkirb87 Member

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    The issue I have is that he says he's curious about how accurate the "predictions" are. Which implies that if they aren't acurate, then this simulator sucks (because if you are curious, and then it really doesn't matter if they are accurate or not, then you probably weren't really curious after all). And then there is the issue of measuring how accurate the simulator actually is, which as I've explained, it turns out that it really doesn't have much to do with comparing the 1st results with the last, but rather looking at the initial "prediction" and deciding for yourself based on your reasoning whether or not it makes sense.

    And you might say, whats the point of doing the simulator when you just test it against your own intuition anyway? The point is, once you are satisfied that the formula isn't crap, you can calculate (using math, which is never wrong, never biased), the odds of us getting a certain seed in the playoffs or us playing a certain team in the playoffs. It won't be 100% accurate, but if it passes the initial logic test, its going to be better than any non-programming system that someone else uses to determine the final seeds.
     

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