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| {{Original research|date=September 2007}}
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| {{Refimprove|date=December 2006}}
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| '''APBRmetrics''' (Association for Professional Basketball Research Metrics) is a term used by a few to refer to the analysis of [[basketball]] through objective evidence, especially [[basketball statistics]]. APBRmetrics is a cousin to the study of [[baseball statistics]], known as [[Sabermetrics]], and similarly takes its name from the acronym APBR, which stands for the Association for Professional Basketball Research.
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| A key tenet for many modern basketball analysts is that basketball is best evaluated at the level of possessions. During a single game, both teams have approximately the same number of possessions, because they alternate possession. (A team can have slightly more if it begins and ends a quarter or half with possession.) However, over the course of the season, teams play at very different paces, which can dramatically color their points scored and points allowed per game. Therefore, these analysts favor use of points scored per 100 possessions (Offensive Rating) and points allowed per 100 possessions (Defensive Rating).
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| A second core tenet is that per-minute statistics are more useful for evaluating players than per-game statistics. From [[John Hollinger]]'s ''Pro Basketball Forecast'': "It's a pretty simple concept, but one that has largely escaped most NBA front offices: The idea that what a player does on a per-minute basis is far more important than his per-game stats. The latter tend to be influenced more by playing time than by quality of play, yet remain the most common metric of player performance."
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| A more complete explanation of possession-based analysis is available in "A Starting Point for Analyzing Basketball Statistics" in the Journal of Quantitative Analysis in Sports.<ref>{{cite journal |url=http://www.bepress.com/jqas/vol3/iss3/1 |authors=Kubatko, Justin; Oliver, Dean; Pelton, Kevin; and Rosenbaum, Dan T |year=2007 |title=A Starting Point for Analyzing Basketball Statistics |journal=Journal of Quantitative Analysis in Sports |volume= 3 |issue=3 (Article 1) |doi= 10.2202/1559-0410.1070}}</ref>
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| ==History==
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| While the use of possession stats dates back at least as far as former [[University of North Carolina at Chapel Hill|North Carolina]] Coach [[Frank McGuire]], modern quantitative basketball analysis came into existence when [[Bill James]] gained popularity for his ''Baseball Abstracts'' and basketball enthusiasts borrowed some of the ideas and the overall philosophy of the importance of statistical analysis for fine-tuning achievement. Early basketball analysts focused on "linear weights" statistics, which assign a value to each key statistic and add and subtract to find a player's total efficiency, usually on a per-minute basis and various brands of this were created and often became the basis for books. Among these people were Dave Heeren, Bob Bellotti, and Martin Manley.
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| Beginning in the 1990s, [[Dean Oliver (statistician)|Dean Oliver]] began to popularize the use of possession statistics. Oliver and [[John Hollinger]] are credited with moving this use of basketball statistics into the view of more basketball fans through their websites in the late 1990s. Oliver published his book ''Basketball On Paper'' in 2003, while Hollinger began writing the ''Pro Basketball Forecast'' series in 2002.
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| Several dozen other serious basketball fans / analysts also have made regular and helpful contributions to fine-tuning the methods and their usage and advancing new approaches to research questions through the active [http://sonicscentral.com/apbrmetrics APBRmetrics forum] and now there are a dozen or more other sites where other fan / analysts are doing sophisticated work.
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| In the wake of the best-selling book ''[[Moneyball]]'', which glamorized Sabermetrics,quantitative basketball analysis began to receive some attention from the media and NBA teams.{see list of media articles near bottom of this page http://www.sonicscentral.com/statsite.html} The goal was to find a more objective method of analyzing player performance and to find the most productive mix of players within the salary cap or budget.
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| In 2004, Oliver was hired as a full-time consultant by the [[Seattle SuperSonics]], making him the first publicly acknowledged APBRmetrician to be employed by an NBA team full-time.
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| The Houston Rockets took the movement one step further in April 2006 by hiring [[Daryl Morey]] as their assistant general manager and announcing that he would replace Carroll Dawson as general manager after the 2006-07 season. Morey, previously Senior Vice President of Operations and Information for the Boston Celtics, had provided statistical analysis for the Celtics front office and wrote a little about advanced statistics for the Celtics Web site but had no traditional basketball experience as a player, coach or scout. Houston has tread water under Morey.
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| The Web site [http://www.82games.com 82games.com], which debuted in 2003, brought the analysis of [[Plus-minus (ice hockey)|plus-minus]] ratings—how well a team fares with a certain player or lineup on the floor as opposed to on the bench—and counterpart production into the mainstream for basketball (it was a common measurement in [[ice hockey]]). There is also more detail on shooting effectiveness by location on the court and time on clock. These statistics allow analysts to measure contributions not accounted for by traditional statistics, particularly at the defensive end of the court, an area underdeveloped in the first wave of new stats including PER and the initial player points allowed defensive rating (which was not based on play by play tracking of one on one defense because it was not yet available and also gave heavy weight to points allowed by the rest of the team as well as the player himself. Some now prefer the counterpart and team measures of defense at 82games which are based on written play by play records but aren't perfect either.)
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| During the 2006 NBA Playoffs, Synergy Sports Technology provided a free trial of a site that combined video of every NBA game with statistical breakdowns of player tendencies similar to those long in use amongst NBA teams—going left vs right, being the ball handler on the pick and roll, etc. This combination of video and statistics is currently being used by a number of NBA teams. Public access has been discontinued indefinitely.
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| ==Notable quantitative basketball analysts ==
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| The growing field of quantitative analysts includes but is not limited to the following:
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| '''Dr. Ben Alamar''' is an Assistant Professor of Management at [[Menlo College]] and the founding editor of the ''Journal of Quantitative Analysis in Sports''. He is currently a consultant for the [[Cleveland Cavaliers]].
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| '''Roland Beech''' is the proprietor of 82games.com and has contributed his analysis to [[ESPN.com]] and [[SI.com]]. He is a consultant for the [[Dallas Mavericks]].
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| '''Bob Bellotti''' was one of the first APBRmetricians, having invented "Points Created", a player rating system that attempted to boil all of a player's contributions into one number (similar to [[Bill James]]' [[Runs created]]). Bellotti wrote several books in the late 1980s and early 1990s, and contributed to the NBA's official encyclopedia, ''Total Basketball''.
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| '''Bob Chaikin''' is currently a basketball analyst for the Miami Heat, since the 2008–09 season. He worked previously (2003-04 to 2007-08) for the Portland Trail Blazers, and consulted earlier with the New Jersey Nets (early 1990s) and Miami Heat (mid-1990s). He is developer of the B-BALL NBA simulation software program used in the statistical analysis of NBA teams and players. He is also developer of the historical sports statistics databases for pro baseball, basketball, football, and hockey located at www.bballsports.com.
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| '''John Ezekowitz''' is an undergraduate who writes for the Harvard Sports Analysis Collective, and his research has been cited by [[ESPN The Magazine]], ''[[Sports Illustrated]]'', and ''[[the Wall Street Journal]]''. He is currently a consultant for the [[Phoenix Suns]] as a statistician.<ref>{{cite web |url=http://www.thecrimson.com/article/2010/12/3/hsacstudents-frontoffice-120310/ |title=Pair of Students Get Jobs In Pros |accessdate=2010-12-06| archiveurl= http://web.archive.org/web/20101204030511/http://www.thecrimson.com/article/2010/12/3/hsacstudents-frontoffice-120310/| archivedate= 4 December 2010 <!--DASHBot-->| deadurl= no}}</ref>
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| '''[[John Hollinger]]''' authored four books in the ''Pro Basketball Forecast/Prospectus'' series and is a regular columnist for ESPN Insider. His Player Evaluation Rating (PER) was a better linear metric system than most of what preceded it{{Says who|date=April 2012}} but it is greatly influenced by a player's offensive usage; in the minds of some,{{Who|date=April 2012}} too much so. It also lacks any assessment of shot defense and that distorts the view of who is good and not. Hollinger's work is read by many mainstream fans who are not familiar with APBRmetrics in general, making him instrumental in introducing the system to regular NBA fans. Hollinger posts on twoplustwo forums under the handle "JumanjiBoard". {{citation needed|date=April 2012}} He is currently the vice president of basketball operations for the [[Memphis Grizzlies]].
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| '''Justin Kubatko''' created and maintained [http://www.basketball-reference.com Basketball-Reference.com], the pro basketball arm of [http://www.sports-reference.com Sports-Reference.com], until his departure from the company on August 24, 2013. He now blogs at [[Statitudes.com]].<ref>http://statitudes.com/blog/2013/08/20/hello-goodbye/</ref> Sports Reference was named one of the 50 best websites of 2010 by TIME magazine<ref>http://www.time.com/time/specials/packages/article/0,28804,2012721_2012880_2012751,00.html</ref> and won an Alpha Award for Best Analytics Innovation/Technology at the 2013 MIT Sloan Sports Analytics Conference.<ref>http://www.sloansportsconference.com/?p=11455</ref> Kubatko was also a statistical consultant for the [[Portland Trail Blazers]] for three years and is a regular contributor to [[The New York Times]] and [[ESPN.com]].
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| '''Christopher Mehfoud''' is a multisport statistician for Virginia Tech, developed Offensive Player Point Worth, as well as modified the definition of Possessions.<ref>https://scholar.vt.edu/access/content/user/chrism13/OPPW%20_%20PPE-1.pdf</ref>
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| '''[[Dean Oliver (statistician)|Dr. Dean Oliver]]''' is a former Division 3 player and assistant coach at Cal Tech (which almost never won a game) and a scout, who has consulted with the Seattle SuperSonics and also served in the front office of the [[Denver Nuggets]]. It is unclear how much either team improved because of his analysis because they started out good and had limited playoff success in those years. He currently works for ESPN. His old website, [http://www.rawbw.com/~deano/index.html Journal of Basketball Studies], and subsequent 2003 book, ''Basketball on Paper'', brought him some recognition as a principal leader in the field. His research dealt with the importance of pace and possessions, how teamwork affects individual statistics, initial crude defensive statistics, and the highly debated topic of the importance of a player's ability to create their own shot. His efforts to bring focus on the "Four Factors of Basketball Success" (field-goal shooting, offensive rebounds, turnovers and getting to the free-throw line) also help provide a simple framework for evaluation of players and teams.
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| '''Kevin 'Al' Pelton''' is a [[sportswriter]] who writes for BasketballProspectus.com and has written for 82games.com, Hoopsworld.com and SI.com. Pelton also covers the [[Seattle Storm]] for the team's Web site, stormbasketball.com, and formerly covered the [[Seattle SuperSonics]]. However, after the SuperSonics' departure from Seattle, he has "adopted" the [[Portland Trail Blazers]] in his coverage.<ref name="test">[http://www.blazersedge.com/2010/2/10/1303802/media-row-report-blazers-77#comments]</ref> He has worked to acquaint mainstream basketball fans with statistical analysis. He moderated the APBRmetrics forum for many years before abandoning it without direct explanation. Pelton is known to be a fan of Christmas music from the artist [[Sufjan Stevens]].<ref>{{cite web|title=Basketball Prospectus Chat 12/16/09|url=http://www.baseballprospectus.com/chat/chat.php?chatId=688}}</ref> He is also a consultant for the [[Indiana Pacers]]. Pelton is also a widely followed sports commentator with over ten thousand followers on [[Twitter]].<ref>{{cite web|last=Pelton|first=Kevin|title=Twitter|url=http://www.twitter.com/kpelton}}</ref>
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| '''Dan Rosenbaum''' is a consultant for the [[Cleveland Cavaliers]]. Rosenbaum's work has focused on adjusted plus-minus ratings, which takes into account the quality of the players playing with and against a player and adjusts his plus-minus accordingly. Cleveland has a decidedly mixed record on player decisions, which calls into question how much and how well adjusted plus-minus has been used there.{{citation needed|date=April 2012}}
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| '''[[Jeff Sagarin]]''' and '''Wayne Winston''' pioneered adjusted plus-minus statistics with their WINVAL system, which has been used extensively by the [[Dallas Mavericks]]. Wayne Winston also produces impact rating that gives heightened attention to player performance in the clutch. The impact rating of Jason Kidd was very high and if it was used in Dallas' decision to acquire him, as seems apparent from what Mark Cuban has said, it paid off. The Mavs were one of the most clutch teams in 2010-11.{{citation needed|date=April 2012}}
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| ==Common statistics==
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| Among the growing list of advanced basketball statistics, here are some of the simplest and most important ones gaining increased usage:
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| '''Offensive Rating'''/'''Offensive Efficiency''' and '''Defensive Rating'''/'''Defensive Efficiency''', on a team level, are calculated as points scored and points allowed per 100 possessions. Possessions are usually estimated by the following formula:
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| :<math>\mathrm{Possessions} = \mathrm{.96} * (\mathrm{FGA} - \mathrm{ORb} + \mathrm{TO} + (.44*\mathrm{FTA}))</math>
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| The .44 accounts for the fact that when a player scores a basket and is fouled, they shoot a free throw, which is not a possession. This is also true of flagrant fouls and technical fouls, while three free throws make up one possession when a player is fouled shooting a 3-pointer. It should also be noted that when analyzing [[College Basketball]], APBRmetricians have used .475 as the free-throw multiplier, since the NCAA's rules about the [[Basketball#Fouls|team foul limit]] differ from those in the NBA.
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| Offensive rebounds are subtracted because grabbing an offensive rebound simply extends the original possession, rather than creating a new possession. If offensive rebounds were not subtracted in this manner, opposing teams would not necessarily have the same number of possessions in a game.
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| The .96 multiplier adjusts for team rebounds. Because these are not considered offensive rebounds, the formula slightly overestimates the number of possessions per team without the multiplier.
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| Therefore, team ratings are simply calculated as:
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| :<math>\mathrm{Offensive Rating} = \frac{\mathrm{Points Scored*100}}{\mathrm{Possessions}}</math>
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| and
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| :<math>\mathrm{Defensive Rating} = \frac{\mathrm{Points Allowed*100}}{\mathrm{Possessions}}</math>
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| In addition to pioneering team offensive and defensive ratings, [[Dean Oliver (statistician)|Dean Oliver]] adapted them to players in his book ''[[Basketball on Paper]]''.
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| '''Effective Field-Goal Percentage''' (eFG%) accounts for the fact that 3-pointers are worth an extra point, something ignored by traditional field-goal percentage. Why is this important? Imagine a situation where one player shoots 6 layups, and makes 3 of them, while another player shoots 6 three point shots and makes 2 of them. Both players have scored 6 points on 6 shots, yet the first player's FG% is 50 percent, and the second player's FG% is only 33 percent. The second player looks like a terrible shooter even though he has scored just as many points on just as many shots. Effective field-goal percentage corrects for this by accounting for the extra point that 3-pointers are worth.
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| The formula is:
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| :<math>\mathrm{eFG\%} = (\mathrm{FGM} + \mathrm{.5*3FGM}) / \mathrm{FGA}</math>
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| '''True Shooting Percentage''' takes this a step further by factoring in free throws. It is essentially points scored per shooting possession, but divided by two to look like field-goal percentage—PTS/(2*(FGA + (.44*FTA)))
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| '''Rebound Rate''' is the estimated percentage of available rebounds a player or team grabs.
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| '''[[Player Efficiency Rating]]''' is [[John Hollinger]]'s linear-weights rating for a player's per-minute performance which reduces a player's total performance into a single number.
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| '''[[Pythagorean expectation|Pythagorean Record]]''' is what a team's expected record is based on points scored or allowed. This can be found by PF^14/(PF^14 + PA^14)
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| There are also several versions of passing ratings, a usage rating that measures how well a player does with the possession he uses, other general and skill specific defensive ratings and many other statistics and analytic ratios to aid understanding of player and team performance.
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| ==References==
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| {{Reflist}}
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| ==External links==
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| *[http://apbr.org/metrics/ Apbrmetrics] The central discussion source for quantitative basketball analysis.
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| *[http://www.82games.com 82games.com] A wealth of player and team data, +/-, counterpart, by position, time on clock. Also in the past conducted spme in-depth studies of specialized questions often asked before but not rigorously analyzed.
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| *[http://www.apbr.org apbr.org] Home of the Association for Professional Basketball Research provides discussion of historical topics and links to other such material.
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| *[http://www.sonicscentral.com/statsite.html APBRmetrics Central] Another old list of online resources.
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| *[http://www.BasketballProspectus.com BasketballProspectus.com] A new subscription-based online basketball analysis site from the publishers of the Baseball Prospectus.
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| *[http://www.basketball-reference.com Basketball-Reference.com], current and historical stats, including many advanced stats.
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| *[http://www.basketballvalue.com BasketballValue.com], raw and adjusted plus-minus for players and lineup data.
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| *[http://www.bellottibasketball.com BellottiBasketball.com], statistical consulting service for professional basketball teams
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| *[http://www.bballsports.com BBALLsports.com], Bob Chaikin's site for computer basketball simulation and historical sports statistics database
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| *[http://www.thecity2.com The City], A Warriors and NBA blog with an advanced statistical focus
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| *[http://www.countthebasket.com/statlinks.htm CountTheBasket.com] the most comprehensive index of available stats by type and date on various sites around the web.
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| *[http://www.dougstats.com DougStats.com], raw statistical data that can be copied into Excel for manipulation.
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| *[http://search.espn.go.com/keyword/search?searchString=John_Hollinger&source=l_navbar Hollinger's ESPN Insider Archive]
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| *[http://www.hoopsanalyst.com HoopsAnalyst.com], some research columns and a strong set of information regarding the draft and trades
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| * Hoopsstats .com A wide range of player and team statistics and many often unique splits.
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| *[http://www.hoopdata.com Hoopdata.com], daily advanced box scores, advanced statistics, analysis and shot locations. Some news and articles in the past.
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| *[http://www.rawbw.com/~deano Journal of Basketball Statistics], Oliver's very old and rough Web site (primarily useful to understand definitions if you do not have his newer book and to archive his early work)
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| *[http://www.kenpom.com Ken Pomeroy's site], which tracks stats for [[College Basketball]] including advanced NCAA stats. Paywall for some information.
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| *[http://www.popcornmachine.net/GameFlows.html PopcornMachine.net], game flows (charts player movement in and out of the game aiding but not totally settling the question of who guarded whom).
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| *[http://www.houstonpress.com/2007-11-01/news/rocket-science/ "Rocket Science"], Houston Press article on Daryl Morey using statistical analysis to manage the Houston Rockets.
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| *[http://www.bepress.com/jqas/vol3/iss4/1/], "Using Box Scores to Analyze a Position's Value to WInning Games." A recent academic research paper looking at impact of player contributions by position and by statistical category.
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| *[http://www.puresabermetrics.com puresabermetrics.com], Sports picks based on APBRmetrics
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| *[http://www.apbrmetrics.com apbrmetrics.com], An independent website with projections, links, articles
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| {{DEFAULTSORT:Apbrmetrics}}
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| [[Category:Basketball statistics]]
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| [[Category:Virtual communities]]
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