Sabermetrics, or originally SABRmetrics, is the empirical analysis of
baseball
Baseball is a bat-and-ball sport played between two teams of nine players each, taking turns batting and fielding. The game occurs over the course of several plays, with each play generally beginning when a player on the fielding ...
, especially
baseball statistics
Baseball statistics play an important role in evaluating the progress of a player or team.
Since the flow of a baseball game has natural breaks to it, and normally players act individually rather than performing in clusters, the sport lends itsel ...
that measure in-game activity. Sabermetricians collect and summarize the relevant data from this in-game activity to answer specific questions. The term is derived from the acronym SABR, which stands for the
Society for American Baseball Research
The Society for American Baseball Research (SABR) is a membership organization dedicated to fostering the research and dissemination of the history and record of baseball primarily through the use of statistics. Established in Cooperstown, New Y ...
, founded in 1971. The term "sabermetrics" was coined by
Bill James
George William James (born October 5, 1949) is an American baseball writer, historian, and statistician whose work has been widely influential. Since 1977, James has written more than two dozen books devoted to baseball history and statistics ...
, who is one of its pioneers and is often considered its most prominent advocate and public face.
Early history
Henry Chadwick, a sportswriter in New York, developed the
box score
A box score is a structured summary of the results from a sport competition. The box score lists the game score as well as individual and team achievements in the game.
Among the sports in which box scores are common are baseball, basketball, ...
in 1858. This was the first way statisticians were able to describe the sport of baseball by numerically tracking various aspects of game play. The creation of the box score has given baseball statisticians a summary of the individual and team performances for a given game.
Sabermetrics research began in the middle of the 20th century with the writings of Earnshaw Cook, one of the earliest sabermetricians. Cook's 1964 book ''Percentage Baseball'' was one of the first of its kind. At first, most organized baseball teams and professionals dismissed Cook's work as meaningless. The idea of a science of baseball statistics began to achieve legitimacy in 1977 when Bill James began releasing ''Baseball Abstracts'', his annual compendium of baseball data. However, James's ideas were slow to find widespread acceptance.
Bill James believed there was a widespread misunderstanding about how the game of baseball was played, claiming the sport was not defined by its rules but actually, as summarized by engineering professor Richard J. Puerzer, "defined by the conditions under which the game is played--specifically, the ballparks but also the players, the ethics, the strategies, the equipment, and the expectations of the public." Sabermetricians—sometimes considered baseball statisticians—began trying to replace the longtime favorite statistic known as the batting average. It has been claimed that team batting average provides a relatively poor fit for team runs scored. Sabermetric reasoning would say that runs win ballgames, and that a good measure of a player's worth is his ability to help his team score more runs than the opposing team.
Before Bill James popularized sabermetrics,
Davey Johnson
David Allen Johnson (born January 30, 1943) is an American former professional baseball player and manager. He played as a second baseman from through , most notably as a member of the Baltimore Orioles dynasty that won four American Leag ...
used an
IBM System/360
The IBM System/360 (S/360) is a family of mainframe computer systems that was announced by IBM on April 7, 1964, and delivered between 1965 and 1978. It was the first family of computers designed to cover both commercial and scientific applic ...
at team owner
Jerold Hoffberger
Jerold Charles Hoffberger (April 7, 1919 – April 9, 1999) was an American businessman. He was president of the National Brewing Company from 1946 to 1973. He was also part-owner of the Baltimore Orioles of the American League from 1954 to 1965 ...
computer simulation
Computer simulation is the process of mathematical modelling, performed on a computer, which is designed to predict the behaviour of, or the outcome of, a real-world or physical system. The reliability of some mathematical models can be dete ...
while playing for the
Baltimore Orioles
The Baltimore Orioles are an American professional baseball team based in Baltimore. The Orioles compete in Major League Baseball (MLB) as a member club of the American League (AL) East division. As one of the American League's eight charter ...
in the early 1970s. He used his results in an unsuccessful attempt to promote to his manager
Earl Weaver
Earl Sidney Weaver (August 14, 1930 – January 19, 2013) was an American professional baseball manager, author, and television broadcaster. After playing in minor league baseball, he retired without playing in Major League Baseball (MLB). He be ...
the idea that he should bat second in the lineup. He wrote
IBM BASIC
The IBM Personal Computer Basic, commonly shortened to IBM BASIC, is a programming language first released by IBM with the IBM Personal Computer, Model 5150 (IBM PC) in 1981. IBM released four different versions of the Microsoft BASIC interpre ...
programs to help him manage the Tidewater Tides, and after becoming manager of the
New York Mets
The New York Mets are an American professional baseball team based in the New York City borough of Queens. The Mets compete in Major League Baseball (MLB) as a member of the National League (NL) East division. They are one of two major leagu ...
in 1984, he arranged for a team employee to write a
dBASE II
dBase (also stylized dBASE) was one of the first database management systems for microcomputers and the most successful in its day. The dBase system includes the core database engine, a query system, a forms engine, and a programming language ...
application to compile and store advanced metrics on team statistics.Craig R. Wright was another employee in Major League Baseball, working with the Texas Rangers in the early 1980s. During his time with the Rangers, he became known as the first front office employee in MLB history to work under the title Sabermetrician.
David Smith founded
Retrosheet
Retrosheet is a nonprofit organization whose website features box scores of Major League Baseball (MLB) games from 1906 to the present, and play-by-play narratives for almost every contest since the 1930s. It also includes scores from every major ...
in 1989, with the objective of computerizing the box score of every major league baseball game ever played, in order to more accurately collect and compare the statistics of the game.
The
Oakland Athletics
The Oakland Athletics (often referred to as the A's) are an American professional baseball team based in Oakland, California. The Athletics compete in Major League Baseball (MLB) as a member club of the American League (AL) West division. The t ...
began to use a more quantitative approach to baseball by focusing on sabermetric principles in the 1990s. This initially began with Sandy Alderson as the general manager of the team when he used the principles toward obtaining relatively undervalued players. His ideas were continued when Billy Beane took over as general manager in 1997, a job he held until 2015, and hired his assistant Paul DePodesta. Through the statistical analysis done by Beane and DePodesta in the 2002 season, the Oakland A's went on to win 20 games in a row. This was a historic moment for the franchise, in which the 20th game was played at the Alameda County Coliseum. His approaches to baseball soon gained national recognition when
Michael Lewis
Michael Monroe Lewis (born October 15, 1960) Gale Biography In Context. is an American author and financial journalist. He has also been a contributing editor to '' Vanity Fair'' since 2009, writing mostly on business, finance, and economics. H ...
Moneyball
''Moneyball: The Art of Winning an Unfair Game'' is a book by Michael Lewis, published in 2003, about the Oakland Athletics baseball team and its general manager Billy Beane. Its focus is the team's analytical, evidence-based, sabermetric approa ...
''—was released and gave broad exposure to the techniques used in the Oakland Athletics' front office.
Traditional measurements
Sabermetrics was created in an attempt for baseball fans to learn about the sport through objective evidence. This is performed by evaluating players in every aspect of the game, specifically batting, pitching, and fielding. These evaluation measures are usually phrased in terms of either runs or team wins as older statistics were deemed ineffective.
Batting measurements
The traditional measure of batting performance is considered to be hits divided by the total number of at-bats. Bill James, along with other fathers of sabermetrics, found this measure to be flawed, as it ignores any other way a batter can reach base besides a hit. This led to the creation of the
On-base percentage
In baseball statistics, on-base percentage (OBP) measures how frequently a batter reaches base. An official Major League Baseball (MLB) statistic since 1984, it is sometimes referred to as on-base average (OBA), as it is rarely presented as a ...
, which takes walks and hit-by-pitches into consideration. To calculate the On-Base percentage, the total number of hits + bases on balls + hit by pitch are divided by at bats + bases on balls + hit by pitch + sacrifice flies.
Another issue with the traditional measure of the batting average is that it does not distinguish between hits (i.e., singles, doubles, triples, and home runs) and gives each hit equal value. Thus, a measure that differentiates among these four hit outcomes, the
slugging percentage
In baseball statistics, slugging percentage (SLG) is a measure of the batting productivity of a hitter. It is calculated as total bases divided by at bats, through the following formula, where ''AB'' is the number of at bats for a given player ...
, was created. To calculate the slugging percentage, the total number of bases of all hits is divided by the total number of times at bat.
Stephen Jay Gould
Stephen Jay Gould (; September 10, 1941 – May 20, 2002) was an American paleontologist, evolutionary biologist, and historian of science. He was one of the most influential and widely read authors of popular science of his generation. Gould s ...
proposed that the disappearance of .400 batting average is actually a sign of general improvement in batting. This is because, in the modern era, players are becoming more focused on hitting for power than for average. Therefore, it has become more valuable to compare players using the slugging percentage and on-base percentage over the batting average.
These two improved sabermetric measures are important skills to measure in a batter and have been combined to create the modern statistic
on-base plus slugging
On-base plus slugging (OPS) is a sabermetric baseball statistic calculated as the sum of a player's on-base percentage and slugging percentage. The ability of a player both to get on base and to hit for power, two important offensive skills, ar ...
(OPS). OPS is the sum of the on-base percentage and the slugging percentage. This modern statistic has become useful in comparing players and is a powerful method of predicting runs scored from a certain player.
Some of the other statistics that sabermetricians use to evaluate batting performance are
weighted on-base average
In baseball, wOBA ( /'woʊbə/, or weighted on-base average) is a statistic, based on linear weights, designed to measure a player's overall offensive contributions per plate appearance. It is formed from taking the observed run values of various ...
,
secondary average Secondary average, or SecA, is a baseball statistic that measures the sum of extra bases gained on hits, walks, and stolen bases (less times caught stealing) depicted per at bat.James, Bill. ''The Bill James Historical Baseball Abstract''. New York: ...
,
runs created Runs created (RC) is a baseball statistic invented by Bill James to estimate the number of runs a hitter contributes to their team.
Purpose
James explains in his book, '' The Bill James Historical Baseball Abstract'', why he believes runs created ...
, and
equivalent average
Equivalent Average (EqA) is a baseball metric invented by Clay Davenport and intended to express the production of hitters in a context independent of park and league effects. It represents a hitter's productivity using the same scale as batting a ...
.
Pitching measurements
The traditional measure of pitching performance is earned run average. It is calculated as
earned run
In baseball, an earned run is any run that was fully enabled by the offensive team's production in the face of competent play from the defensive team. Conversely, an unearned run is a run that would not have been scored without the aid of an err ...
s allowed per 9 innings. Earned run average does not separate the ability of the pitcher from the abilities of the fielders that he plays with. Another classic measure for pitching is a pitcher's
winning percentage
In sports, a winning percentage is the fraction of games or matches a team or individual has won. The statistic is commonly used in standings or rankings to compare teams or individuals. It is defined as wins divided by the total number of match ...
. Winning percentage is calculated by dividing wins by the number of decisions (wins and losses). Winning percentage is also heavily dependent on the pitcher's team, particularly on the number of runs it scores.
Sabermetricians have attempted to find different measures of pitching performance that exclude the performances of the fielders involved. One of the earliest developed, and one of the most popular in use, is
walks plus hits per inning pitched
In baseball statistics, walks plus hits per inning pitched (WHIP) is a sabermetric measurement of the number of baserunners a pitcher has allowed per inning pitched. WHIP is calculated by adding the number of walks and hits allowed and divi ...
(WHIP), which while not completely defense-independent, tends to indicate how many times a pitcher is likely to put a player on base (either by base-on-balls, hit-by-pitch, or base hit) and thus how effective batters are against a particular pitcher in reaching base. A more recent development is the creation of defense independent pitching statistics (DIPS) system. Voros McCracken has been credited with the development of this system in 1999. Through his research, McCracken was able to show that there is little to no difference between pitchers in the number of hits they allow on balls put into play—regardless of their skill level. Some examples of these statistics are defense-independent ERA, fielding independent pitching, and defense-independent component ERA. Other sabermetricians have furthered the work in DIPS, such as Tom Tango who runs the ''Tango on Baseball'' sabermetrics website.
''
Baseball Prospectus
Baseball Prospectus (BP) is an organization that publishes a website, BaseballProspectus.com, devoted to the sabermetric analysis of baseball. BP has a staff of regular columnists and provides advanced statistics as well as player and team perf ...
'' created another statistics called the
peripheral ERA Peripheral ERA (PERA) is a pitching statistic created by the Baseball Prospectus
Baseball Prospectus (BP) is an organization that publishes a website, BaseballProspectus.com, devoted to the sabermetric analysis of baseball. BP has a staff of r ...
. This measure of a pitcher's performance takes hits, walks, home runs allowed, and strikeouts while adjusting for ballpark factors. Each ballpark has different dimensions when it comes to the outfield wall so a pitcher should not be measured the same for each of these parks.Batting average on balls in play (BABIP) is another useful measurement for determining pitchers’ performance. When a pitcher has a high BABIP, they will often show improvements in the following season, while a pitcher with low BABIP will often show a decline in the following season. This is based on the statistical concept of
regression to the mean
In statistics, regression toward the mean (also called reversion to the mean, and reversion to mediocrity) is the fact that if one sample of a random variable is extreme, the next sampling of the same random variable is likely to be closer to i ...
. Others have created various means of attempting to quantify individual pitches based on characteristics of the pitch, as opposed to runs earned or balls hit.
Advanced methods
Value over replacement player
In baseball, value over replacement player (or VORP) is a statistic popularized by Keith Woolner that demonstrates how much a hitter or pitcher contributes to their team in comparison to a replacement-level player who is an average fielder at th ...
(VORP) was once considered a popular sabermetric statistic. This statistic demonstrates how much a player contributes to his team in comparison to a hypothetical player that performs at the minimum level needed to hold a roster position on a major league team. This measurement was invented by Keith Woolner, a former writer for the sabermetric group/website ''Baseball Prospectus''.
Wins above replacement
Wins Above Replacement or Wins Above Replacement Player, commonly abbreviated to WAR or WARP, is a non-standardized sabermetric baseball statistic developed to sum up "a player's total contributions to his team". A player's WAR value is claimed t ...
(WAR) is another popular sabermetric statistic for evaluating a player's contributions to his team. Similar to VORP, WAR compares a given player to a replacement-level player in order to determine the number of additional wins the player has provided to his team. WAR values vary with hitting positions and are largely determined by a player's successful performance and amount of playing time.
Quantitative analysis in baseball
Many traditional and modern statistics, such as ERA and Wins Shared, don't give a full understanding of what is taking place on the field. Simple ratios are not sufficient to understand the statistical data of baseball. Structured quantitative analysis is capable of explaining many aspects of the game, for example, to examine how often a team should attempt to steal.
Applications
Sabermetrics can be used for multiple purposes, but the most common are evaluating past performance and predicting future performance to determine a player's contributions to his team. These may be useful when determining who should win end-of-the-season awards such as MVP and when determining the value of making a certain trade.
Most baseball players tend to play a few years in the minor leagues before they are called up to the major league. The competitive differences coupled with ballpark effects make the exact comparison of a player's statistics a problem. Sabermetricians have been able to clear this problem by adjusting the player's minor league statistics, also known as the Minor-League Equivalency. Through these adjustments, teams are able to look at a player's performance in both AA and AAA to determine if he is fit to be called up to the majors.
Applied statistics
Sabermetrics methods are generally used for three purposes:
# To compare key performances among certain specific players under realistic data conditions. The evaluation of past performance of a player enables an analytic overview. The comparison of this data between players can help one understand key points such as their market values. In that way, the role and the salary that should be given to that player can be defined.
# To provide prediction of future performance of a given player or a team. When past data is available about the performance of a team or a specific player, Sabermetrics can be used to predict the average future performances for the next season. Thus, a prediction can be made with a certain probability about the number of wins and losses.
# To provide a useful function of the player's contributions to his team. When analyzing data, one is able to understand the contributions a player makes to the success/failure of his team. Given that correlation, one can objectively sign or release players with certain characteristics.
Machine learning model
A
machine learning
Machine learning (ML) is a field of inquiry devoted to understanding and building methods that 'learn', that is, methods that leverage data to improve performance on some set of tasks. It is seen as a part of artificial intelligence.
Machine ...
model can be built using data sets available at sources such as baseball-reference. This model will give probability estimates for the outcome of specific games or the performance of particular players. These estimates are increasingly accurate when applied to a large number of events over a long term. The game outcome (win/lose) is treated as having a binomial distribution.
Predictions can be made using a logistic regression model with explanatory variables including: opponents' runs scored, runs scored, shutouts time at bat, winning rate, and pitcher whip.
Recent advances
Many sabermetricians are still working hard to contribute to the field through creating new measures and asking new questions. Bill James' two '' Historical Baseball Abstract'' editions and '' Win Shares'' book have continued to advance the field of sabermetrics, 25 years after he helped start the movement. His former assistant
Rob Neyer
Rob Neyer (born June 22, 1966) is an American baseball writer known for his use of statistical analysis or sabermetrics. He started his career working for Bill James and STATS and then joined ESPN.com as a columnist and blogger from 1996 to 201 ...
, who is now a senior writer at ESPN.com and national baseball editor of SBNation, also worked on popularizing sabermetrics since the mid-1980s.
Nate Silver
Nathaniel Read Silver (born January 13, 1978) is an American statistician, writer, and poker player who analyzes baseball (see sabermetrics), basketball, and elections (see psephology). He is the founder and editor-in-chief of ''FiveThirtyEight ...
, a former writer and managing partner of ''Baseball Prospectus'', invented PECOTA. This acronym stands for ''Player Empirical Comparison and Optimization Test Algorithm'', and is a sabermetric system for forecasting Major League Baseball player performance. Simply put, it assumes that the careers of similar players will follow a similar trajectory. This system has been owned by ''Baseball Prospectus'' since 2003 and helps the website's authors invent or improve widely relied-upon sabermetric measures and techniques.
Beginning in the 2007 baseball season, the MLB started looking at technology to record detailed information regarding each pitch that is thrown in a game. This became known as the
PITCHf/x PITCHf/x is a system created and maintained by Sportvision that tracks the speeds and trajectories of pitched baseballs. This system, which made its debut in the 2006 Major League Baseball (MLB) postseason, is installed in every MLB stadium. The ...
system which is able to record the speed of the pitch, at its release point and as it crossed the plate, as well as the location and angle of the break of certain pitches through video cameras.FanGraphs is a website that favors this system as well as the analysis of play-by-play data. The website also specializes in publishing advanced baseball statistics as well as graphics that evaluate and track the performance of players and teams.
In popular culture
* ''
Moneyball
''Moneyball: The Art of Winning an Unfair Game'' is a book by Michael Lewis, published in 2003, about the Oakland Athletics baseball team and its general manager Billy Beane. Its focus is the team's analytical, evidence-based, sabermetric approa ...
'', the 2011 film about Billy Beane's use of sabermetrics to build the
Oakland Athletics
The Oakland Athletics (often referred to as the A's) are an American professional baseball team based in Oakland, California. The Athletics compete in Major League Baseball (MLB) as a member club of the American League (AL) West division. The t ...
. The film is based on
Michael Lewis
Michael Monroe Lewis (born October 15, 1960) Gale Biography In Context. is an American author and financial journalist. He has also been a contributing editor to '' Vanity Fair'' since 2009, writing mostly on business, finance, and economics. H ...
Numb3rs
''Numbers'' (stylized as ''NUMB3RS'') is an American crime drama television series that was broadcast on CBS from January 23, 2005, to March 12, 2010, for six seasons and 118 episodes. The series was created by Nicolas Falacci and Cheryl Heu ...
'' episode "Hardball" focuses on sabermetrics, and the
season 1 Season One may refer to:
Albums
* ''Season One'' (Suburban Legends album), 2004
* ''Season One'' (All Sons & Daughters album), 2012
* ''Season One'' (Saukrates album), 2012
See also
*
*
* Season 2 (disambiguation)
* Season 4 (disambigua ...
episode "Sacrifice" also covers the subject.
* " MoneyBART", the third episode of ''
The Simpsons
''The Simpsons'' is an American animated sitcom created by Matt Groening for the Fox Broadcasting Company. The series is a satirical depiction of American life, epitomized by the Simpson family, which consists of Homer Simpson, Homer, Marge ...
ice hockey
Ice hockey (or simply hockey) is a team sport played on ice skates, usually on an Ice rink, ice skating rink with Ice hockey rink, lines and markings specific to the sport. It belongs to a family of sports called hockey. In ice hockey, two o ...
basketball
Basketball is a team sport in which two teams, most commonly of five players each, opposing one another on a rectangular court, compete with the primary objective of shooting a basketball (approximately in diameter) through the defender's h ...
equivalent
*
Fielding Bible Award
A Fielding Bible Award recognizes the best defensive player for each fielding position in Major League Baseball (MLB) based on statistical analysis. John Dewan and Baseball Info Solutions conduct the annual selection process, which commenced in 2 ...
PITCHf/x PITCHf/x is a system created and maintained by Sportvision that tracks the speeds and trajectories of pitched baseballs. This system, which made its debut in the 2006 Major League Baseball (MLB) postseason, is installed in every MLB stadium. The ...
Theorycraft Theorycraft (or theorycrafting) is the mathematical analysis of game mechanics (usually in video games) to discover optimal strategies and tactics. Theorycraft involves analyzing statistics, hidden systems or underlying game code in order to glean i ...
John Thorn
John A. Thorn (born April 17, 1947) is a German-born sports historian, author, publisher, and cultural commentator. Since March 1, 2011, he has been the Official Baseball Historian for Major League Baseball.
Personal profile
Thorn was born in ...
and
Pete Palmer
Pete Palmer (born January 30, 1938) is an American sports statistician and encyclopedia editor. He is a major contributor to the applied mathematical field referred to as sabermetrics. Along with the Bill James '' Baseball Abstracts'', Palmer' ...