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Coping With Powerful Distractions

Photo Courtesy of Nuzz on Flickr

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Clutch performance has been a touchy subject this season. There are the typical statistical arguments, eye-test arguments, and those based on everything imaginable in between. But it is really worth debating the best pressure performers?

The recent end-of-game shots by a pair of the league’s star players have foregrounded this question. Derrick Rose shot 4-of-18 from the field in Game 3 against the Pacers, but he hit a game-winning layup. LeBron James scored 31 points on 55 percent shooting in Game 4 vs. the Sixers but missed a key floater late in an eventual Heat loss.

It’s natural, then, to call Rose the success and LeBron the failure in these cases, as the Bulls won and the Heat did not, consistent with those final shots. Fundamentally, that’s fair. But the full-game execution of these players seems to suggest that the boundary between triumph and futility is maybe not so lucid.

The final minutes of games draw the most attention as they often noticeably influence results, and that is why top players’ execution down the stretch is so frequently subject to scrutiny. With that said, the appeal of these late-game scenarios distracts most viewers from the truth of clutch production: it’s totally overemphasized.

An oft-ignored basic principle of basketball is that the value of shots does not vary with respect to the progress of the game. Two points is two points, whether they come five seconds after the tipoff or find the net with just seconds left to play. The perceived significance of missed shots in the early going is usually negligible, as those flubs are often forgotten by the time of the game at which it is possible to process their negative impact — especially if the consequences of those misses are neutralized by late-game makes. But in many cases, if a player had passed up an ill-advised shot that did not fall in favor of a high-percentage look during a low-pressure moment, the make-up basket in the clutch would not have been necessary.

In other words, if the goal of basketball is to win games, maximizing output and efficiency at the end of games should not be the goal, for in an ideal situation the preceding portion of the game should preclude the necessity of “big” shots. When a particular team plays well in the first 46 minutes of its games, its only task in the final two minutes is to protect a lead rather than to escape a deficit with heroics.

Here’s a rudimentary illustration to demonstrate this.

(Owing to the divisive nature of this topic, bringing up specific names here would only be counterproductive — as loyalty-driven commentary would do nothing more than muddy the dialectic — so it’s wise to deal only in generalities.)

Take two players, X and Y, in two separate games with entirely equivalent final box scores, who each notch 30 points. Player X scores all 30 of his points before the one-minute mark of the fourth quarter, at which point his team is up three points. Player Y, however, only scores 24 of his 30 points before that one-minute mark, at which point his team is down three points. Player X doesn’t shoot in the final minute, but his team still wins by three. Player Y hits two three-pointers, including a tiebreaking buzzer beater, and his team also wins by three.

Player Y is the one you’re going to see in the highlights, the one whose crunch-time accomplishments will be the talk of the NBA community at large for the next day. But Player Y didn’t put his team in the best position to win. It was Player X who hit his shots early, avoiding a predicament that required an “exciting” shot; the situation merely required holding a lead. Maybe Player X is the better winner, then, however counterintuitive that realization is. After all, his performance increased the likelihood of a win for this team compared to Player Y’s, as it’s certainly easier to hold a lead than to recover from trailing.

With all that said, it’s easy to make a claim that is entirely dependent on inference and conjecture. Bolstering the case further, though, is the argument’s practical traction.

Consider the following teams: the Miami Heat, the Los Angeles Lakers, the Chicago Bulls, the San Antonio Spurs, the Boston Celtics, and the Orlando Magic. Arguably the six best teams in the NBA this season, right? They were also the top six teams in the league in scoring differential after three quarters (Thanks to @snghoops for pointing this out) at the end of the regular campaign. Meanwhile, those same squads were 12th, 15th, 17th, 5th, 28th, and 14th, respectively, in fourth-quarter output. Put simply, the NBA’s elite teams do their work early on in games such that they can put scoring on the back burner: all they are tasked with late is protecting a lead. Indisputably, taking care of business early in contests has more than just a theoretical association with success.

Of course, any team, irrespective of its performance, will invariably find itself down by a slim margin late in some games. In those cases, someone to hit key shots would, in fact, be valuable given short-term considerations. (In the playoffs, this excellence might take on extra importance in accordance with the greater gravity of each contest.)

But nothing in basketball is free of exception. It’s about swaying the odds as far as possible in one’s favor. No team is going to hold its opponents to 0 percent shooting, but it would much rather have them shooting 40 percent than 50 percent. Similarly, no team will completely avoid scenarios in which it needs a final shot to win, but minimizing that reliance is optimal. The team that performed the best during standard, “non-clutch time” would have a leg up in that regard and simply let clutch situations take care of themselves.

It would be challenging, probably impossible, to find a coach in the NBA that would prefer to win every game on a last-second shot than to win comfortably, especially in the long term — assuming, again, the coach’s principal goal is to win.

So the apparent discrepancy that allows the clutch movement to gain momentum is this: the interest of fans is not always compatible with the most efficient, reliable way to win a basketball game.

Sports ethicist Edwin DeLattre is one that believes there is an inherent need for excitement in successful competition. He writes:

“Whether amidst the soft lights and the sparkling balls against the blaize of a billiard table, on the rolling terrain of a lush fairway or in the violent and crashing pit where linemen struggle, it is the moments when no let-up is possible, when there is virtually no tolerance for error, which make the game. The best and most satisfying contests maximize these moments and minimize respite from pressure. When competition achieves this intensity it frequently renders the outcome of the contest anticlimactic, and it inevitably reduces victory celebration to pallor by contrast … Exclusive emphasis on winning has particularly tended to obscure the importance of the quality of the opposition and the thrill of competition itself” (From William Morgan’s Ethics in Sport, Second Edition).

At their most basic, professional sports are meant to entertain fans, to inspire awe with spectacular athletic feats. For DeLattre, the power and frequency of the entertainment is enough to belittle the end result of the game. As it happens, the plays in close games tend to amplify the greatness of players’ actions, as fans identify with the struggle of their teams. Clutch shots provide a feeling of release that enhances the sports-viewing experience for most. Accordingly, many people find it necessary to dissect particular players’ success in these situations. After all, who wouldn’t want to watch the most dramatic actors in the league?

Just remember this: these clutch performances are great for the league and the viewer, but that’s about it. Tense late-game scenarios certainly aren’t sought out with winning in mind. Before anointing your player of choice the King of Clutch, it might be worth it to revisit how meaningful that title really is and what your view of success in sport really reduces to.

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Scoring 2 points to go up 2-0 5 seconds into the game does not increase your probability of winning as much as scoring 2 points to go up 98-96 with 15 seconds left.

Your probability of winning argument is zeroed out by the percentage of the score 2 points makes up at the beginning of the game versus the percentage those same 2 points make up of the total score at the end. Going up 2-0 in the beginning may not increase your odds of winning significantly, but one basket is 100% of your point total. So if the odds of victory change from 50% to 50.2% after the first basket, that basket increased your chance of victory by .2%. Seems insignificant, right? But wait!

2 points is just over 2% of 98 points (2.04%). While the last two have a viewer bias of relative importance they do not win without the other 98% of the points involved in the victory. If you have a 95% chance of victory with a 98-96 score and 15 seconds left, that last basket seems pretty important. But by accounting for a mere 2% of your point total that basket’s contribution to winning is .19%. Not to beat a dead horse, but that's a smaller contribution towards victory than the 2 points scored in the first quarter made when they were scored.

The odds I used were arbitrary and meant to show that while a late basket’s skewing of the odds may seem significant, as a function of point total that basket’s contribution is still small. I think that if anything, I overestimated the odds of victory with 15 seconds to play and a 2 point lead. The end of the game seems more meaningful because the odds of victory fluctuate more dramatically in a close game the less time there is left to play. That fluctuation is not created out of a vacuum however. It is built up from the starting tip and attributing it solely to the points scored at the end of the game is flawed.

You can argue for weighting late points over early points in value, but you cannot assume a weight imbalance without making the argument. The value of a point is not derived from how easy or difficult the point was to get. Nor can the value be derived from how much any single point changes the odds of victory. Even if the last point “won the game” it needed the help every other point scored to do it.

Your point about the 4th quarter scoring of the 6 best teams is a red herring. You have to control for leads going into the 4th quarter and you don't account for this factor-even thought you cite the best teams in the game.

Regarding "crunch time", Steve hits the nail on the head. In your Lebron Rose scenario, you can make the case that LeBron had the statistically better overall game-obviously he did. But to use that to say clutch performance is overvalued misses the point. If you just want to measure overall metrics, then do so, (of course using a lager cohort than 1 game). But here, both teams entered a clutch situation, (regardless of what came before). One emerged victorious, and one did not. I certainly believe there are athletes who learn to embrace the responsibility to perform with greatness when everything hangs in the balance. And there are certainly fine athletes who repeatedly fail in the clutch, (not that they can't progress with time and experience). This post makes the point that there is a "crunch time", but doesn't provide parameters to define it, and doesn't provide stats for those parameters vs. overall performance. Measure the differential and see if it is statistically relevant-if so, your argument does not hold water.

Oops, I meant that Rose would have added 10 points of value, not 15. Sorry for the typo.

The question basically comes down to this: Is the value of a replacement player situational? If Lebron scores 20 in his first 20 minutes of play, what would a replacement player have scored during the same first 20 minutes? If Rose scores 15 points in his last 20 minutes of a tight game, what would a replacement player have scored in the same last 20 minutes? On a per-minute basis, Lebron might seem more valuable. But if a replacement player would have scored 15 in his first 20 minutes but only 5 in his last 20 minutes of a tight game, then Lebron would have actually added only 5 points of value in his 20 minutes of play, while Rose would have added 15 points of value in his 20 minutes. I would love to see someone estimate the value of a typical NBA replacement player in a variety of situations--by quarter, by score differential, by personal foul, etc. Then you could come up with a more accurate assessment of individual players' value that would account for the real differences by which each player is actually used in games.

Your analysis is only valid if you discount external things that are a function of score. A simple analysis could answer this. On average, the score score differential in the first half should predict the differential in the second half. If a large positive differential in the first half results in a smaller positive differential in the second half, then points in the second half are more important.

I believe that your argument simplifies to the point that it is better to win/be winning by many points than by a few.

The value of contributors during "crunch time" is that they are able to execute in less than optimal circumstances. Some players seem to perform at a higher level than others in these situations.

If someone asked me before the start of a game to choose if I would prefer my star to score 31 points or go 4-18 from the field, the answer is obvious. But, after watching this season, I can honestly say that if the outcome of a game depended on one play, I would hand Rose the ball over LeBron.

Everyone will agree that it is preferable to avoid close games, but you understate the value of having an impact player when you cannot avoid these situations.

The Sports Ethics quote was probably my favorite part of the article. I instantly thought of The Decision when the phrase "maximizing competition" was introduced. LeBron is just so unethical when playing sports!

I tend to agree with your analysis, and I've made this kind of argument many times to other fans who don't seem to agree. However, I think that the nature of the NBA (and really American sports in general) is what places the emphasis on the "clutch" situations. If you consider an entire NBA season, the regular season can be thought of as the first 44 or so minutes - depending on how a team plays up that point, the team will certainly be in a better position to win. The reward for a great regular season (or a great 44 minutes) is an easier path to victory (i.e. a championship). However, even if a team were to go undefeated (see the Patriots a few years back) and lose in the playoffs, that team would not be considered the champion. Thus our system of sports inherently places more stress on situations that "matter" more - i.e. the playoffs and similarly "crunch-time"

In any athletic competition scoring early is not equal to scoring late. The point of the game is to maximize the probability of winning. Scoring 2 points to go up 2-0 5 seconds into the game does not increase your probability of winning as much as scoring 2 points to go up 98-96 with 15 seconds left.

The reason late game situations are so important is because the possible shift in the probability of winning is so much greater late than early. For that reason, each positive and negative play has more influence on the outcome than a similar play in the early going. In those situations, assuming the goal of all players is to win, pressure on the players increases. Players who are best able to handle the increased pressure of those moments are more valuable than someone who can't deal with it.

This is a well written and well thought out piece. In many ways, I do agree with you that points early in the game are worth just as much as points in the fourth quarter, and scoring late in the game might even be more difficult. Most people would want to avoid such situations if their only goal is winning, and clutch play may benefit by being a sexy media topic.

That having been said, the way points are scored do have some meaning. Take game 1 of the Bulls-Pacers series. The pacers ju,ped out to an early lead, only to see the Bulls get close in the fourth quarter. If the game was tight all along, the Pacers have to be thinking that they can hang with the bulls and ultimately win the game. But actually, they blew that huge lead, they lost composure, questioned themselves, got tight and had lost even before Kyle Korver hit that huge three. Believe me, the flow of the game matters. I've been in those kinds of situations; being tied after a back and forth is different than being tied after having a sizable lead. And once you get into a crunch time situation, everything before it becomes a moot point. These are the minutes that swing big playoff series. Look at the Celtics-Knicks series. The Knicks could have won games 1 and 2, but the celtics out executed the Knicks down the stretch and won both games. If the Knicks win just one or even two of those games, we could have been looking at a different series.

If the game ends up close the shot made on the first possession is just as important as the shot made on the last possession. Its importance was just not known at the time.

UBK

You're basically saying that if a team played with the same effort and intensity for the first three quarters they wouldn't need someone to display heroics in the final few "clutch" minutes. This assumes that the opposing team plays the same throughout their first 3 quarters as well. Well, the only point where we can be sure both teams are playing at their maximum intensity and effort in any given game is in the final few moments of a tight game. So, to model your perfect world of basketball you should be able to take those final few minutes and extrapolate that across 48 minutes rather than the other way around.

Re Jesse and Jason's comments:

I completely understand what you're trying to say, but it actually plays in to my argument. If teams seize their opportunities to score when the game isn't on the line, they have no need to hit the late shots that are more influenced by pressure and, maybe, more difficult as a result. As I wrote, clutch situations will just take care of themselves.

Eddy Curry didn't miss any clutch shots this season

I guess I'd say yes and no. Yes, all points do count the same. However, it's usually far easier to come across the points earlier in the game when the other team isn't as dialed in to single important possessions. There are lots of very good first half players and very good regular season players who don't show up big in the playoffs or during the end of games. I get your point, but I still feel that the cream rises to the to top when it matters most.

I think you may be right that "clutch" is an overrated factor.

However, I think it's misleading to say that all points count the same. While it's true in the most simplistic mathematical sense, it doesn't account for the psychology of game situations. Being able to get points when points are harder to get is added value. Also, it doesn't account for the flow of the game, where early leads can easily be lost because teams play differently when they have a big lead versus when the game is tight.

Great, great piece. Basketball is a cumulative scoring game. All points in all quarters count the same. The first 47 minutes and 50 seconds absolutely dictate what must be done in the last 10 seconds. Anybody arguing otherwise is arguing out of some form of bias. I liked how you equated it to the team, too. Anyhow, great article.

Nice try! I can totally tell you're a Player Y hater!! Does Player X have Z rings????

No, seriously... nicely done, thoughtful piece. Good to see it.

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