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==Innovations== Among the statistical innovations attributable to James are: * [[Runs created]]. A statistic intended to quantify a player's contribution to runs scored, as well as a team's expected number of runs scored. Runs created is calculated from other offensive statistics. James's first version of it was: <math display="block">RC = \frac{(H+BB) \times TB}{AB+BB}</math> Applied to an entire team or league, the statistic correlates closely (usually within 5%) to that team's or league's actual runs scored. Since James first created the statistic, sabermetricians have refined it to make it more accurate, and it is now used in many different variations. * [[Range factor]]. A statistic that quantifies the defensive contribution of a player, calculated in its simplest form as (A is an [[Assist (baseball)|assist]], PO is a [[Putout (baseball)|putout]]): <math display="block">RF = \frac{9 \times (A + PO)}\text{Innings}</math> The statistic is premised on the notion that the total number of outs that a player participates in is more relevant in evaluating his defensive play than the percentage of cleanly handled chances as calculated by the conventional statistic [[fielding percentage]]. * Defensive Efficiency Rating. A statistic that shows the percentage of balls in play a defense turns into an out. It is used to help determine a team's defensive ability. The formula is: <math display="block">DER = 1 - \frac{H + ROE - HR}{PA - K - BB - HBP - HR}</math> * [[Win shares]]. A unifying statistic intended to allow the comparison of players at different positions, as well as players of different eras. Win Shares incorporates a variety of pitching, hitting and fielding statistics. One drawback of Win Shares is the difficulty of computing it.<ref name="tht-interview">{{cite web |url=http://www.hardballtimes.com/main/article/bill-james-interview/ |title=Bill James Interview |work=[[The Hardball Times]] |last=Jaffe |first=Chris |date=February 4, 2008 |access-date=February 16, 2008 |archive-url=https://web.archive.org/web/20080207094539/http://www.hardballtimes.com/main/article/bill-james-interview/ |archive-date=February 7, 2008 |url-status=live}}</ref> * [[Pythagorean expectation|Pythagorean Winning Percentage]]. A statistic explaining the relationship of wins and losses to runs scored and runs allowed. The statistic correlates closely to a team's actual winning percentage. Its simplest formula is: <math display="block">\mathrm{Pythagorean ~ W\%} = \frac{R^2}{R^2+RA^2}</math> * [[Game score]] is a metric to determine the strength of a pitcher in any particular baseball game. It has since been improved by [[Tom Tango]]. * Major League Equivalency. A metric that uses [[Minor league baseball|minor league]] statistics to predict how a player is likely to perform at the major league level. * The Brock2 System. A system for projecting a player's performance over the remainder of his career based on past performance and the aging process. * [[Similarity score]]s. Scoring a player's statistical similarity to other players, providing a frame of reference for players of the distant past. Examples: [[Lou Gehrig]] comparable to [[Don Mattingly]]; [[Shoeless Joe Jackson|Joe Jackson]] to [[Tony Oliva]]. * [[Secondary average]]. A statistic that attempts to measure a player's contribution to an offense in ways not reflected in batting average. Secondary averages tend to be similar to batting averages, but can vary wildly, from less than .100 to more than .500 in extreme cases. The formula is (ISO is [[isolated power]]): <math display="block">\mathrm{SecA} = \frac{BB+(TB-H) + (SB-CS)}{AB} = \frac{BB + (SB-CS)}{AB} + ISO</math> * [[Power/Speed Number]]. A statistic that attempts to consolidate the various "clubs" of players with impressive numbers of both home runs and stolen bases (e.g., the [[30β30 club]] ([[Bobby Bonds]] was well known for being a member), the [[40β40 club]] ([[Jose Canseco]] was the first to perform this feat), and even the 25β65 club ([[Joe Morgan]] in the '70s)). The formula is: <math display="block"> \mathrm{PSN} = \frac{2 \times HR \times SB}{HR + SB}</math> * Approximate Value. A system of cutoffs designed to estimate the value a player contributed to various category groups (including his team) to study broad questions such as "how do players age over time". * "Temperature gauge" to determine how "hot" a player is, based on recent performance.<ref>{{cite news |url=http://www.nesn.com/2011/08/bill-james-explains-new-temperature-gauge-statistic-to-determine-how-hot-or-cold-a-hitter-is.html |work=NESN |title=Bill James Explains New 'Temperature Gauge' Statistic to Determine How Hot or Cold a Hitter Is |date=May 7, 2012 |access-date=June 25, 2012}}</ref> The gauge has been used in [[NESN]] Red Sox telecasts and has provoked mixed reactions from critics.<ref>{{cite news |url=http://sportsofboston.com/2011/09/22/movie-review-moneyball-starring-brad-pitt-and-jonah-hill/ |work=Sports of Boston |title=Movie Review: "Moneyball," starring Brad Pitt and Jonah Hill |date=September 22, 2011 |access-date=June 25, 2012 |archive-url=https://web.archive.org/web/20120918180211/http://sportsofboston.com/2011/09/22/movie-review-moneyball-starring-brad-pitt-and-jonah-hill/ |archive-date=September 18, 2012 |url-status=dead |df=mdy-all }}</ref> Although James may be best known as an inventor of statistical tools, he has often written on the limitations of statistics and urged humility concerning their place amid other kinds of information about baseball.<ref>{{Cite news |url=http://espn.go.com/sportsnation/chat/_/id/3503 |archive-url=https://web.archive.org/web/20091212065721/http://espn.go.com/sportsnation/chat/_/id/3503 |url-status=dead |archive-date=December 12, 2009 |title=SportsNation:Chat with Bill James |publisher=[[ESPN]] |access-date=May 22, 2014}}</ref> To James, context is paramount: he was among the first to emphasize the importance of adjusting traditional statistics for [[Batting Park Factor|park factors]] and to stress the role of luck in a pitcher's winβloss record.<ref>{{Cite news |url=https://www.espn.com/fantasy/baseball/flb/story?page=mlbdk2k10ballparks |title=Ranking The Ballparks |first=Tristan H. |last=Cockcroft |publisher=[[ESPN]] |date=March 18, 2010}}</ref> Many of his statistical innovations are arguably less important than the underlying ideas. When he introduced the notion of [[secondary average]], it was as a vehicle for the then-counterintuitive concept that [[batting average (baseball)|batting average]] represents only a fraction of a player's offensive contribution. (The [[Runs Created|runs-created statistic]] plays a similar role vis-Γ -vis the traditional [[runs batted in|RBI]].) Some of his contributions to the language of baseball, like the idea of the "[[defensive spectrum]]", border on being entirely non-statistical.
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