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Articles Tagged Probability 

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07-25

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4

The View from the Loge Level: Ode to Joe
by
Daron Sutton

11-19

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26

Pebble Hunting: The Hall of Fame 50 Percent Probability Test
by
Sam Miller

05-29

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18

Baseball ProGUESTus: No No-No, No Cry
by
Craig Glaser

04-27

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0

The BP Wayback Machine: Royal Flush
by
James Click

08-25

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12

The BP Wayback Machine: Blowing It
by
Nate Silver

08-29

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2

Between The Numbers: The PITCHf/x Summit Quasi-Liveblog
by
Ben Lindbergh

07-13

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14

Prospectus Q&A: Jeff Ma
by
Will Carroll

06-08

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18

Expanded Horizons: Perfection
by
Tommy Bennett

08-20

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13

Checking the Numbers: Two Out of Three Aint Bad
by
Eric Seidman

06-10

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25

Checking the Numbers: Binomial Feliz
by
Eric Seidman

09-27

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1

Lies, Damned Lies: Blowing It
by
Nate Silver

08-01

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0

The Big Picture: Analyzing the Umpires
by
David Pinto

03-16

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0

Hope and Faith: How the Detroit Tigers Can Win the World Series
by
Nate Silver

10-16

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0

Future Shock: Monday Morning Ten-Pack
by
Kevin Goldstein

10-16

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0

Prospectus Today: LCS, Day Six
by
Joe Sheehan

10-14

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0

Future Shock: Where Did the Tigers and the Athletics Come From?
by
Kevin Goldstein

10-14

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0

Prospectus Today: LCS, Day Four
by
Joe Sheehan

10-14

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0

Playoff Prospectus: The Best and Worst of Mets and Cardinals Postseason Pitching
by
Jim Baker

10-13

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0

Prospectus Today: LCS, Day Three
by
Joe Sheehan

10-12

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0

Prospectus Today: The Games Go On
by
Joe Sheehan

10-12

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0

Player Profile
by
Marc Normandin

10-11

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0

Remembering Buck O'Neil
by
Alex Belth

10-11

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0

Prospectus Today: LCS, Day One
by
Joe Sheehan

10-09

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0

Completely Random Statistical Trivia
by
Keith Woolner

10-09

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0

Prospectus Today: Division Series, Day Six
by
Joe Sheehan

10-07

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0

Prospectus Today: Division Series, Day Four
by
Joe Sheehan

10-06

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0

Prospectus Today: Division Series, Day Three
by
Joe Sheehan

10-06

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0

Prospectus Matchups: October Musings
by
Jim Baker

10-05

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0

Prospectus Today: Division Series, Day Two
by
Joe Sheehan

04-06

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0

Schrodinger's Bat: Wins and the Quantum
by
Dan Fox

11-22

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0

Lies, Damned Lies: Defending Jeffrey
by
Nate Silver

10-19

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0

Lies, Damned Lies: Running the Odds
by
Nate Silver

08-18

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0

Crooked Numbers: Royal Flush
by
James Click

05-04

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0

Lies, Damned Lies: Introducing ORVY
by
Nate Silver

05-07

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0

Lies, Damned Lies: Binomial Distribution (or What the Heck is Up with Miguel Tejada and Alex Gonzalez?)
by
Nate Silver

10-12

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0

Call It In The Air!
by
Dave Pease

03-04

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0

Analytic Model Creation Contest
by
Keith Woolner

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Nate envisions what exactly needs to go right for the Tigers to get in the playoffs.

The Tigers are the paramount example of just why we're running this series. Out of all of the major sports, baseball provides perhaps the best balance between luck and skill. The idea of the Cincinnati Reds or the Arizona Diamondbacks or the Baltimore Orioles winning the World Series might seem ridiculous, but so too did the idea of the Tigers winning the World Series twelve months ago. What's that? The Tigers didn't win the World Series? That rainy week in St. Louis wasn't just a bad dream?

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October 16, 2006 12:00 am

Future Shock: Monday Morning Ten-Pack

0

Kevin Goldstein

Kevin checks out the newsmakers in the winter leagues.

\nMathematically, leverage is based on the win expectancy work done by Keith Woolner in BP 2005, and is defined as the change in the probability of winning the game from scoring (or allowing) one additional run in the current game situation divided by the change in probability from scoring\n(or allowing) one run at the start of the game.'; xxxpxxxxx1160988517_18 = 'Adjusted Pitcher Wins. Thorn and Palmers method for calculating a starters value in wins. Included for comparison with SNVA. APW values here calculated using runs instead of earned runs.'; xxxpxxxxx1160988517_19 = 'Support Neutral Lineup-adjusted Value Added (SNVA adjusted for the MLVr of batters faced) per game pitched.'; xxxpxxxxx1160988517_20 = 'The number of double play opportunities (defined as less than two outs with runner(s) on first, first and second, or first second and third).'; xxxpxxxxx1160988517_21 = 'The percentage of double play opportunities turned into actual double plays by a pitcher or hitter.'; xxxpxxxxx1160988517_22 = 'Winning percentage. For teams, Win% is determined by dividing wins by games played. For pitchers, Win% is determined by dividing wins by total decisions. '; xxxpxxxxx1160988517_23 = 'Expected winning percentage for the pitcher, based on how often\na pitcher with the same innings pitched and runs allowed in each individual\ngame earned a win or loss historically in the modern era (1972-present).'; xxxpxxxxx1160988517_24 = 'Attrition Rate is the percent chance that a hitters plate appearances or a pitchers opposing batters faced will decrease by at least 50% relative to his Baseline playing time forecast. Although it is generally a good indicator of the risk of injury, Attrition Rate will also capture seasons in which his playing time decreases due to poor performance or managerial decisions. '; xxxpxxxxx1160988517_25 = 'Batting average (hitters) or batting average allowed (pitchers).'; xxxpxxxxx1160988517_26 = 'Average number of pitches per start.'; xxxpxxxxx1160988517_27 = 'Average Pitcher Abuse Points per game started.'; xxxpxxxxx1160988517_28 = 'Singles or singles allowed.'; xxxpxxxxx1160988517_29 = 'Batting average; hits divided by at-bats.'; xxxpxxxxx1160988517_30 = 'Percentage of pitches thrown for balls.'; xxxpxxxxx1160988517_31 = 'The Baseline forecast, although it does not appear here, is a crucial intermediate step in creating a players forecast. The Baseline developed based on the players previous three seasons of performance. Both major league and (translated) minor league performances are considered.

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October 16, 2006 12:00 am

Prospectus Today: LCS, Day Six

0

Joe Sheehan

Our servers, like the Cardinals bullpen and the A's, crashed. Only two of those get to come back.

\nMathematically, leverage is based on the win expectancy work done by Keith Woolner in BP 2005, and is defined as the change in the probability of winning the game from scoring (or allowing) one additional run in the current game situation divided by the change in probability from scoring\n(or allowing) one run at the start of the game.'; xxxpxxxxx1161098296_18 = 'Adjusted Pitcher Wins. Thorn and Palmers method for calculating a starters value in wins. Included for comparison with SNVA. APW values here calculated using runs instead of earned runs.'; xxxpxxxxx1161098296_19 = 'Support Neutral Lineup-adjusted Value Added (SNVA adjusted for the MLVr of batters faced) per game pitched.'; xxxpxxxxx1161098296_20 = 'The number of double play opportunities (defined as less than two outs with runner(s) on first, first and second, or first second and third).'; xxxpxxxxx1161098296_21 = 'The percentage of double play opportunities turned into actual double plays by a pitcher or hitter.'; xxxpxxxxx1161098296_22 = 'Winning percentage. For teams, Win% is determined by dividing wins by games played. For pitchers, Win% is determined by dividing wins by total decisions. '; xxxpxxxxx1161098296_23 = 'Expected winning percentage for the pitcher, based on how often\na pitcher with the same innings pitched and runs allowed in each individual\ngame earned a win or loss historically in the modern era (1972-present).'; xxxpxxxxx1161098296_24 = 'Attrition Rate is the percent chance that a hitters plate appearances or a pitchers opposing batters faced will decrease by at least 50% relative to his Baseline playing time forecast. Although it is generally a good indicator of the risk of injury, Attrition Rate will also capture seasons in which his playing time decreases due to poor performance or managerial decisions. '; xxxpxxxxx1161098296_25 = 'Batting average (hitters) or batting average allowed (pitchers).'; xxxpxxxxx1161098296_26 = 'Average number of pitches per start.'; xxxpxxxxx1161098296_27 = 'Average Pitcher Abuse Points per game started.'; xxxpxxxxx1161098296_28 = 'Singles or singles allowed.'; xxxpxxxxx1161098296_29 = 'Batting average; hits divided by at-bats.'; xxxpxxxxx1161098296_30 = 'Percentage of pitches thrown for balls.'; xxxpxxxxx1161098296_31 = 'The Baseline forecast, although it does not appear here, is a crucial intermediate step in creating a players forecast. The Baseline developed based on the players previous three seasons of performance. Both major league and (translated) minor league performances are considered.

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October 14, 2006 12:00 am

Future Shock: Where Did the Tigers and the Athletics Come From?

0

Kevin Goldstein

Even Alexis Gomez came from somewhere (Kansas City). Kevin tells us how the Tigers and A's acquired the rest of their postseason difference-makers.

\nMathematically, leverage is based on the win expectancy work done by Keith Woolner in BP 2005, and is defined as the change in the probability of winning the game from scoring (or allowing) one additional run in the current game situation divided by the change in probability from scoring\n(or allowing) one run at the start of the game.'; xxxpxxxxx1160846402_18 = 'Adjusted Pitcher Wins. Thorn and Palmers method for calculating a starters value in wins. Included for comparison with SNVA. APW values here calculated using runs instead of earned runs.'; xxxpxxxxx1160846402_19 = 'Support Neutral Lineup-adjusted Value Added (SNVA adjusted for the MLVr of batters faced) per game pitched.'; xxxpxxxxx1160846402_20 = 'The number of double play opportunities (defined as less than two outs with runner(s) on first, first and second, or first second and third).'; xxxpxxxxx1160846402_21 = 'The percentage of double play opportunities turned into actual double plays by a pitcher or hitter.'; xxxpxxxxx1160846402_22 = 'Winning percentage. For teams, Win% is determined by dividing wins by games played. For pitchers, Win% is determined by dividing wins by total decisions. '; xxxpxxxxx1160846402_23 = 'Expected winning percentage for the pitcher, based on how often\na pitcher with the same innings pitched and runs allowed in each individual\ngame earned a win or loss historically in the modern era (1972-present).'; xxxpxxxxx1160846402_24 = 'Attrition Rate is the percent chance that a hitters plate appearances or a pitchers opposing batters faced will decrease by at least 50% relative to his Baseline playing time forecast. Although it is generally a good indicator of the risk of injury, Attrition Rate will also capture seasons in which his playing time decreases due to poor performance or managerial decisions. '; xxxpxxxxx1160846402_25 = 'Batting average (hitters) or batting average allowed (pitchers).'; xxxpxxxxx1160846402_26 = 'Average number of pitches per start.'; xxxpxxxxx1160846402_27 = 'Average Pitcher Abuse Points per game started.'; xxxpxxxxx1160846402_28 = 'Singles or singles allowed.'; xxxpxxxxx1160846402_29 = 'Batting average; hits divided by at-bats.'; xxxpxxxxx1160846402_30 = 'Percentage of pitches thrown for balls.'; xxxpxxxxx1160846402_31 = 'The Baseline forecast, although it does not appear here, is a crucial intermediate step in creating a players forecast. The Baseline developed based on the players previous three seasons of performance. Both major league and (translated) minor league performances are considered.

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October 14, 2006 12:00 am

Prospectus Today: LCS, Day Four

0

Joe Sheehan

The NLCS becomes a battle just as the ALCS is edging towards an end.

\nMathematically, leverage is based on the win expectancy work done by Keith Woolner in BP 2005, and is defined as the change in the probability of winning the game from scoring (or allowing) one additional run in the current game situation divided by the change in probability from scoring\n(or allowing) one run at the start of the game.'; xxxpxxxxx1160835748_18 = 'Adjusted Pitcher Wins. Thorn and Palmers method for calculating a starters value in wins. Included for comparison with SNVA. APW values here calculated using runs instead of earned runs.'; xxxpxxxxx1160835748_19 = 'Support Neutral Lineup-adjusted Value Added (SNVA adjusted for the MLVr of batters faced) per game pitched.'; xxxpxxxxx1160835748_20 = 'The number of double play opportunities (defined as less than two outs with runner(s) on first, first and second, or first second and third).'; xxxpxxxxx1160835748_21 = 'The percentage of double play opportunities turned into actual double plays by a pitcher or hitter.'; xxxpxxxxx1160835748_22 = 'Winning percentage. For teams, Win% is determined by dividing wins by games played. For pitchers, Win% is determined by dividing wins by total decisions. '; xxxpxxxxx1160835748_23 = 'Expected winning percentage for the pitcher, based on how often\na pitcher with the same innings pitched and runs allowed in each individual\ngame earned a win or loss historically in the modern era (1972-present).'; xxxpxxxxx1160835748_24 = 'Attrition Rate is the percent chance that a hitters plate appearances or a pitchers opposing batters faced will decrease by at least 50% relative to his Baseline playing time forecast. Although it is generally a good indicator of the risk of injury, Attrition Rate will also capture seasons in which his playing time decreases due to poor performance or managerial decisions. '; xxxpxxxxx1160835748_25 = 'Batting average (hitters) or batting average allowed (pitchers).'; xxxpxxxxx1160835748_26 = 'Average number of pitches per start.'; xxxpxxxxx1160835748_27 = 'Average Pitcher Abuse Points per game started.'; xxxpxxxxx1160835748_28 = 'Singles or singles allowed.'; xxxpxxxxx1160835748_29 = 'Batting average; hits divided by at-bats.'; xxxpxxxxx1160835748_30 = 'Percentage of pitches thrown for balls.'; xxxpxxxxx1160835748_31 = 'The Baseline forecast, although it does not appear here, is a crucial intermediate step in creating a players forecast. The Baseline developed based on the players previous three seasons of performance. Both major league and (translated) minor league performances are considered.

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Jim digs back and looks at the best starting efforts by the Mets and Cardinals in the era of divisional play.

\nMathematically, leverage is based on the win expectancy work done by Keith Woolner in BP 2005, and is defined as the change in the probability of winning the game from scoring (or allowing) one additional run in the current game situation divided by the change in probability from scoring\n(or allowing) one run at the start of the game.'; xxxpxxxxx1160845280_18 = 'Adjusted Pitcher Wins. Thorn and Palmers method for calculating a starters value in wins. Included for comparison with SNVA. APW values here calculated using runs instead of earned runs.'; xxxpxxxxx1160845280_19 = 'Support Neutral Lineup-adjusted Value Added (SNVA adjusted for the MLVr of batters faced) per game pitched.'; xxxpxxxxx1160845280_20 = 'The number of double play opportunities (defined as less than two outs with runner(s) on first, first and second, or first second and third).'; xxxpxxxxx1160845280_21 = 'The percentage of double play opportunities turned into actual double plays by a pitcher or hitter.'; xxxpxxxxx1160845280_22 = 'Winning percentage. For teams, Win% is determined by dividing wins by games played. For pitchers, Win% is determined by dividing wins by total decisions. '; xxxpxxxxx1160845280_23 = 'Expected winning percentage for the pitcher, based on how often\na pitcher with the same innings pitched and runs allowed in each individual\ngame earned a win or loss historically in the modern era (1972-present).'; xxxpxxxxx1160845280_24 = 'Attrition Rate is the percent chance that a hitters plate appearances or a pitchers opposing batters faced will decrease by at least 50% relative to his Baseline playing time forecast. Although it is generally a good indicator of the risk of injury, Attrition Rate will also capture seasons in which his playing time decreases due to poor performance or managerial decisions. '; xxxpxxxxx1160845280_25 = 'Batting average (hitters) or batting average allowed (pitchers).'; xxxpxxxxx1160845280_26 = 'Average number of pitches per start.'; xxxpxxxxx1160845280_27 = 'Average Pitcher Abuse Points per game started.'; xxxpxxxxx1160845280_28 = 'Singles or singles allowed.'; xxxpxxxxx1160845280_29 = 'Batting average; hits divided by at-bats.'; xxxpxxxxx1160845280_30 = 'Percentage of pitches thrown for balls.'; xxxpxxxxx1160845280_31 = 'The Baseline forecast, although it does not appear here, is a crucial intermediate step in creating a players forecast. The Baseline developed based on the players previous three seasons of performance. Both major league and (translated) minor league performances are considered.

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The Mets and Cardinals finally got underway in a game that no player on either team had the biggest effect on.

\nMathematically, leverage is based on the win expectancy work done by Keith Woolner in BP 2005, and is defined as the change in the probability of winning the game from scoring (or allowing) one additional run in the current game situation divided by the change in probability from scoring\n(or allowing) one run at the start of the game.'; xxxpxxxxx1160760884_18 = 'Adjusted Pitcher Wins. Thorn and Palmers method for calculating a starters value in wins. Included for comparison with SNVA. APW values here calculated using runs instead of earned runs.'; xxxpxxxxx1160760884_19 = 'Support Neutral Lineup-adjusted Value Added (SNVA adjusted for the MLVr of batters faced) per game pitched.'; xxxpxxxxx1160760884_20 = 'The number of double play opportunities (defined as less than two outs with runner(s) on first, first and second, or first second and third).'; xxxpxxxxx1160760884_21 = 'The percentage of double play opportunities turned into actual double plays by a pitcher or hitter.'; xxxpxxxxx1160760884_22 = 'Winning percentage. For teams, Win% is determined by dividing wins by games played. For pitchers, Win% is determined by dividing wins by total decisions. '; xxxpxxxxx1160760884_23 = 'Expected winning percentage for the pitcher, based on how often\na pitcher with the same innings pitched and runs allowed in each individual\ngame earned a win or loss historically in the modern era (1972-present).'; xxxpxxxxx1160760884_24 = 'Attrition Rate is the percent chance that a hitters plate appearances or a pitchers opposing batters faced will decrease by at least 50% relative to his Baseline playing time forecast. Although it is generally a good indicator of the risk of injury, Attrition Rate will also capture seasons in which his playing time decreases due to poor performance or managerial decisions. '; xxxpxxxxx1160760884_25 = 'Batting average (hitters) or batting average allowed (pitchers).'; xxxpxxxxx1160760884_26 = 'Average number of pitches per start.'; xxxpxxxxx1160760884_27 = 'Average Pitcher Abuse Points per game started.'; xxxpxxxxx1160760884_28 = 'Singles or singles allowed.'; xxxpxxxxx1160760884_29 = 'Batting average; hits divided by at-bats.'; xxxpxxxxx1160760884_30 = 'Percentage of pitches thrown for balls.'; xxxpxxxxx1160760884_31 = 'The Baseline forecast, although it does not appear here, is a crucial intermediate step in creating a players forecast. The Baseline developed based on the players previous three seasons of performance. Both major league and (translated) minor league performances are considered.

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October 12, 2006 12:00 am

Prospectus Today: The Games Go On

0

Joe Sheehan

The death of Cory Lidle cast a pall over the League Championship Series, but baseball marches on.

\nMathematically, leverage is based on the win expectancy work done by Keith Woolner in BP 2005, and is defined as the change in the probability of winning the game from scoring (or allowing) one additional run in the current game situation divided by the change in probability from scoring\n(or allowing) one run at the start of the game.'; xxxpxxxxx1160675929_18 = 'Adjusted Pitcher Wins. Thorn and Palmers method for calculating a starters value in wins. Included for comparison with SNVA. APW values here calculated using runs instead of earned runs.'; xxxpxxxxx1160675929_19 = 'Support Neutral Lineup-adjusted Value Added (SNVA adjusted for the MLVr of batters faced) per game pitched.'; xxxpxxxxx1160675929_20 = 'The number of double play opportunities (defined as less than two outs with runner(s) on first, first and second, or first second and third).'; xxxpxxxxx1160675929_21 = 'The percentage of double play opportunities turned into actual double plays by a pitcher or hitter.'; xxxpxxxxx1160675929_22 = 'Winning percentage. For teams, Win% is determined by dividing wins by games played. For pitchers, Win% is determined by dividing wins by total decisions. '; xxxpxxxxx1160675929_23 = 'Expected winning percentage for the pitcher, based on how often\na pitcher with the same innings pitched and runs allowed in each individual\ngame earned a win or loss historically in the modern era (1972-present).'; xxxpxxxxx1160675929_24 = 'Attrition Rate is the percent chance that a hitters plate appearances or a pitchers opposing batters faced will decrease by at least 50% relative to his Baseline playing time forecast. Although it is generally a good indicator of the risk of injury, Attrition Rate will also capture seasons in which his playing time decreases due to poor performance or managerial decisions. '; xxxpxxxxx1160675929_25 = 'Batting average (hitters) or batting average allowed (pitchers).'; xxxpxxxxx1160675929_26 = 'Average number of pitches per start.'; xxxpxxxxx1160675929_27 = 'Average Pitcher Abuse Points per game started.'; xxxpxxxxx1160675929_28 = 'Singles or singles allowed.'; xxxpxxxxx1160675929_29 = 'Batting average; hits divided by at-bats.'; xxxpxxxxx1160675929_30 = 'Percentage of pitches thrown for balls.'; xxxpxxxxx1160675929_31 = 'The Baseline forecast, although it does not appear here, is a crucial intermediate step in creating a players forecast. The Baseline developed based on the players previous three seasons of performance. Both major league and (translated) minor league performances are considered.

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October 12, 2006 12:00 am

Player Profile

0

Marc Normandin

The A's second-best hitter showed considerable improvement in his second full season in the majors.

\nMathematically, leverage is based on the win expectancy work done by Keith Woolner in BP 2005, and is defined as the change in the probability of winning the game from scoring (or allowing) one additional run in the current game situation divided by the change in probability from scoring\n(or allowing) one run at the start of the game.'; xxxpxxxxx1160675573_18 = 'Adjusted Pitcher Wins. Thorn and Palmers method for calculating a starters value in wins. Included for comparison with SNVA. APW values here calculated using runs instead of earned runs.'; xxxpxxxxx1160675573_19 = 'Support Neutral Lineup-adjusted Value Added (SNVA adjusted for the MLVr of batters faced) per game pitched.'; xxxpxxxxx1160675573_20 = 'The number of double play opportunities (defined as less than two outs with runner(s) on first, first and second, or first second and third).'; xxxpxxxxx1160675573_21 = 'The percentage of double play opportunities turned into actual double plays by a pitcher or hitter.'; xxxpxxxxx1160675573_22 = 'Winning percentage. For teams, Win% is determined by dividing wins by games played. For pitchers, Win% is determined by dividing wins by total decisions. '; xxxpxxxxx1160675573_23 = 'Expected winning percentage for the pitcher, based on how often\na pitcher with the same innings pitched and runs allowed in each individual\ngame earned a win or loss historically in the modern era (1972-present).'; xxxpxxxxx1160675573_24 = 'Attrition Rate is the percent chance that a hitters plate appearances or a pitchers opposing batters faced will decrease by at least 50% relative to his Baseline playing time forecast. Although it is generally a good indicator of the risk of injury, Attrition Rate will also capture seasons in which his playing time decreases due to poor performance or managerial decisions. '; xxxpxxxxx1160675573_25 = 'Batting average (hitters) or batting average allowed (pitchers).'; xxxpxxxxx1160675573_26 = 'Average number of pitches per start.'; xxxpxxxxx1160675573_27 = 'Average Pitcher Abuse Points per game started.'; xxxpxxxxx1160675573_28 = 'Singles or singles allowed.'; xxxpxxxxx1160675573_29 = 'Batting average; hits divided by at-bats.'; xxxpxxxxx1160675573_30 = 'Percentage of pitches thrown for balls.'; xxxpxxxxx1160675573_31 = 'The Baseline forecast, although it does not appear here, is a crucial intermediate step in creating a players forecast. The Baseline developed based on the players previous three seasons of performance. Both major league and (translated) minor league performances are considered.

The Baseline forecast is also significant in that it attempts to remove luck from a forecast line. For example, a player who hit .310, but with a poor batting eye and unimpressive speed indicators, is probably not really a .310 hitter. Its more likely that hes a .290 hitter who had a few balls bounce his way, and the Baseline attempts to correct for this.

\nSimilarly, a pitcher with an unusually low EqHR9 rate, but a high flyball rate, is likely to have achieved the low EqHR9 partly as a result of luck. In addition, the Baseline corrects for large disparities between a pitchers ERA and his PERA, and an unusually high or low hit rate on balls in play, which are highly subject to luck. '; xxxpxxxxx1160675573_32 = 'Approximate number of batting outs made while playing this position.'; xxxpxxxxx1160675573_33 = 'Batting average; hits divided by at-bats. In PECOTA, Batting Average is one of five primary production metrics used in identifying a hitters comparables. It is defined as H/AB. '; xxxpxxxxx1160675573_34 = 'Bases on Balls, or bases on balls allowed.'; xxxpxxxxx1160675573_35 = 'Bases on balls allowed per 9 innings pitched.'; xxxpxxxxx1160675573_36 = 'Batters faced pitching.'; xxxpxxxxx1160675573_37 = 'Balks. Not recorded 1876-1880.'; xxxpxxxxx1160675573_38 = 'Batting Runs Above Replacement. The number of runs better than a hitter with a .230 EQA and the same number of outs; EQR - 5 * OUT * .230^2.5.'; xxxpxxxxx1160675573_39 = 'Batting runs above a replacement at the same position. A replacement position player is one with an EQA equal to (230/260) times the average EqA for that position.'; xxxpxxxxx1160675573_40 = 'Breakout Rate is the percent chance that a hitters EqR/27 or a pitchers EqERA will improve by at least 20% relative to the weighted average of his EqR/27 in his three previous seasons of performance. High breakout rates are indicative of upside risk.

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October 11, 2006 12:00 am

Remembering Buck O'Neil

0

Alex Belth

A great ambassador for the game--and for humanity--passed away last week.

\nMathematically, leverage is based on the win expectancy work done by Keith Woolner in BP 2005, and is defined as the change in the probability of winning the game from scoring (or allowing) one additional run in the current game situation divided by the change in probability from scoring\n(or allowing) one run at the start of the game.'; xxxpxxxxx1160583428_18 = 'Adjusted Pitcher Wins. Thorn and Palmers method for calculating a starters value in wins. Included for comparison with SNVA. APW values here calculated using runs instead of earned runs.'; xxxpxxxxx1160583428_19 = 'Support Neutral Lineup-adjusted Value Added (SNVA adjusted for the MLVr of batters faced) per game pitched.'; xxxpxxxxx1160583428_20 = 'The number of double play opportunities (defined as less than two outs with runner(s) on first, first and second, or first second and third).'; xxxpxxxxx1160583428_21 = 'The percentage of double play opportunities turned into actual double plays by a pitcher or hitter.'; xxxpxxxxx1160583428_22 = 'Winning percentage. For teams, Win% is determined by dividing wins by games played. For pitchers, Win% is determined by dividing wins by total decisions. '; xxxpxxxxx1160583428_23 = 'Expected winning percentage for the pitcher, based on how often\na pitcher with the same innings pitched and runs allowed in each individual\ngame earned a win or loss historically in the modern era (1972-present).'; xxxpxxxxx1160583428_24 = 'Attrition Rate is the percent chance that a hitters plate appearances or a pitchers opposing batters faced will decrease by at least 50% relative to his Baseline playing time forecast. Although it is generally a good indicator of the risk of injury, Attrition Rate will also capture seasons in which his playing time decreases due to poor performance or managerial decisions. '; xxxpxxxxx1160583428_25 = 'Batting average (hitters) or batting average allowed (pitchers).'; xxxpxxxxx1160583428_26 = 'Average number of pitches per start.'; xxxpxxxxx1160583428_27 = 'Average Pitcher Abuse Points per game started.'; xxxpxxxxx1160583428_28 = 'Singles or singles allowed.'; xxxpxxxxx1160583428_29 = 'Batting average; hits divided by at-bats.'; xxxpxxxxx1160583428_30 = 'Percentage of pitches thrown for balls.'; xxxpxxxxx1160583428_31 = 'The Baseline forecast, although it does not appear here, is a crucial intermediate step in creating a players forecast. The Baseline developed based on the players previous three seasons of performance. Both major league and (translated) minor league performances are considered.

The Baseline forecast is also significant in that it attempts to remove luck from a forecast line. For example, a player who hit .310, but with a poor batting eye and unimpressive speed indicators, is probably not really a .310 hitter. Its more likely that hes a .290 hitter who had a few balls bounce his way, and the Baseline attempts to correct for this.

\nSimilarly, a pitcher with an unusually low EqHR9 rate, but a high flyball rate, is likely to have achieved the low EqHR9 partly as a result of luck. In addition, the Baseline corrects for large disparities between a pitchers ERA and his PERA, and an unusually high or low hit rate on balls in play, which are highly subject to luck. '; xxxpxxxxx1160583428_32 = 'Approximate number of batting outs made while playing this position.'; xxxpxxxxx1160583428_33 = 'Batting average; hits divided by at-bats. In PECOTA, Batting Average is one of five primary production metrics used in identifying a hitters comparables. It is defined as H/AB. '; xxxpxxxxx1160583428_34 = 'Bases on Balls, or bases on balls allowed.'; xxxpxxxxx1160583428_35 = 'Bases on balls allowed per 9 innings pitched.'; xxxpxxxxx1160583428_36 = 'Batters faced pitching.'; xxxpxxxxx1160583428_37 = 'Balks. Not recorded 1876-1880.'; xxxpxxxxx1160583428_38 = 'Batting Runs Above Replacement. The number of runs better than a hitter with a .230 EQA and the same number of outs; EQR - 5 * OUT * .230^2.5.'; xxxpxxxxx1160583428_39 = 'Batting runs above a replacement at the same position. A replacement position player is one with an EQA equal to (230/260) times the average EqA for that position.'; xxxpxxxxx1160583428_40 = 'Breakout Rate is the percent chance that a hitters EqR/27 or a pitchers EqERA will improve by at least 20% relative to the weighted average of his EqR/27 in his three previous seasons of performance. High breakout rates are indicative of upside risk.

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October 11, 2006 12:00 am

Prospectus Today: LCS, Day One

0

Joe Sheehan

The Tigers take on a completely different personality at the plate, and use it to win.

\nMathematically, leverage is based on the win expectancy work done by Keith Woolner in BP 2005, and is defined as the change in the probability of winning the game from scoring (or allowing) one additional run in the current game situation divided by the change in probability from scoring\n(or allowing) one run at the start of the game.'; xxxpxxxxx1160590386_18 = 'Adjusted Pitcher Wins. Thorn and Palmers method for calculating a starters value in wins. Included for comparison with SNVA. APW values here calculated using runs instead of earned runs.'; xxxpxxxxx1160590386_19 = 'Support Neutral Lineup-adjusted Value Added (SNVA adjusted for the MLVr of batters faced) per game pitched.'; xxxpxxxxx1160590386_20 = 'The number of double play opportunities (defined as less than two outs with runner(s) on first, first and second, or first second and third).'; xxxpxxxxx1160590386_21 = 'The percentage of double play opportunities turned into actual double plays by a pitcher or hitter.'; xxxpxxxxx1160590386_22 = 'Winning percentage. For teams, Win% is determined by dividing wins by games played. For pitchers, Win% is determined by dividing wins by total decisions. '; xxxpxxxxx1160590386_23 = 'Expected winning percentage for the pitcher, based on how often\na pitcher with the same innings pitched and runs allowed in each individual\ngame earned a win or loss historically in the modern era (1972-present).'; xxxpxxxxx1160590386_24 = 'Attrition Rate is the percent chance that a hitters plate appearances or a pitchers opposing batters faced will decrease by at least 50% relative to his Baseline playing time forecast. Although it is generally a good indicator of the risk of injury, Attrition Rate will also capture seasons in which his playing time decreases due to poor performance or managerial decisions. '; xxxpxxxxx1160590386_25 = 'Batting average (hitters) or batting average allowed (pitchers).'; xxxpxxxxx1160590386_26 = 'Average number of pitches per start.'; xxxpxxxxx1160590386_27 = 'Average Pitcher Abuse Points per game started.'; xxxpxxxxx1160590386_28 = 'Singles or singles allowed.'; xxxpxxxxx1160590386_29 = 'Batting average; hits divided by at-bats.'; xxxpxxxxx1160590386_30 = 'Percentage of pitches thrown for balls.'; xxxpxxxxx1160590386_31 = 'The Baseline forecast, although it does not appear here, is a crucial intermediate step in creating a players forecast. The Baseline developed based on the players previous three seasons of performance. Both major league and (translated) minor league performances are considered.

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Keith checks in with all kinds of fun facts from the completed season.

\nMathematically, leverage is based on the win expectancy work done by Keith Woolner in BP 2005, and is defined as the change in the probability of winning the game from scoring (or allowing) one additional run in the current game situation divided by the change in probability from scoring\n(or allowing) one run at the start of the game.'; xxxpxxxxx1160407218_18 = 'Adjusted Pitcher Wins. Thorn and Palmers method for calculating a starters value in wins. Included for comparison with SNVA. APW values here calculated using runs instead of earned runs.'; xxxpxxxxx1160407218_19 = 'Support Neutral Lineup-adjusted Value Added (SNVA adjusted for the MLVr of batters faced) per game pitched.'; xxxpxxxxx1160407218_20 = 'The number of double play opportunities (defined as less than two outs with runner(s) on first, first and second, or first second and third).'; xxxpxxxxx1160407218_21 = 'The percentage of double play opportunities turned into actual double plays by a pitcher or hitter.'; xxxpxxxxx1160407218_22 = 'Winning percentage. For teams, Win% is determined by dividing wins by games played. For pitchers, Win% is determined by dividing wins by total decisions. '; xxxpxxxxx1160407218_23 = 'Expected winning percentage for the pitcher, based on how often\na pitcher with the same innings pitched and runs allowed in each individual\ngame earned a win or loss historically in the modern era (1972-present).'; xxxpxxxxx1160407218_24 = 'Attrition Rate is the percent chance that a hitters plate appearances or a pitchers opposing batters faced will decrease by at least 50% relative to his Baseline playing time forecast. Although it is generally a good indicator of the risk of injury, Attrition Rate will also capture seasons in which his playing time decreases due to poor performance or managerial decisions. '; xxxpxxxxx1160407218_25 = 'Batting average (hitters) or batting average allowed (pitchers).'; xxxpxxxxx1160407218_26 = 'Average number of pitches per start.'; xxxpxxxxx1160407218_27 = 'Average Pitcher Abuse Points per game started.'; xxxpxxxxx1160407218_28 = 'Singles or singles allowed.'; xxxpxxxxx1160407218_29 = 'Batting average; hits divided by at-bats.'; xxxpxxxxx1160407218_30 = 'Percentage of pitches thrown for balls.'; xxxpxxxxx1160407218_31 = 'The Baseline forecast, although it does not appear here, is a crucial intermediate step in creating a players forecast. The Baseline developed based on the players previous three seasons of performance. Both major league and (translated) minor league performances are considered.

The Baseline forecast is also significant in that it attempts to remove luck from a forecast line. For example, a player who hit .310, but with a poor batting eye and unimpressive speed indicators, is probably not really a .310 hitter. Its more likely that hes a .290 hitter who had a few balls bounce his way, and the Baseline attempts to correct for this.

\nSimilarly, a pitcher with an unusually low EqHR9 rate, but a high flyball rate, is likely to have achieved the low EqHR9 partly as a result of luck. In addition, the Baseline corrects for large disparities between a pitchers ERA and his PERA, and an unusually high or low hit rate on balls in play, which are highly subject to luck. '; xxxpxxxxx1160407218_32 = 'Approximate number of batting outs made while playing this position.'; xxxpxxxxx1160407218_33 = 'Batting average; hits divided by at-bats. In PECOTA, Batting Average is one of five primary production metrics used in identifying a hitters comparables. It is defined as H/AB. '; xxxpxxxxx1160407218_34 = 'Bases on Balls, or bases on balls allowed.'; xxxpxxxxx1160407218_35 = 'Bases on balls allowed per 9 innings pitched.'; xxxpxxxxx1160407218_36 = 'Batters faced pitching.'; xxxpxxxxx1160407218_37 = 'Balks. Not recorded 1876-1880.'; xxxpxxxxx1160407218_38 = 'Batting Runs Above Replacement. The number of runs better than a hitter with a .230 EQA and the same number of outs; EQR - 5 * OUT * .230^2.5.'; xxxpxxxxx1160407218_39 = 'Batting runs above a replacement at the same position. A replacement position player is one with an EQA equal to (230/260) times the average EqA for that position.'; xxxpxxxxx1160407218_40 = 'Breakout Rate is the percent chance that a hitters EqR/27 or a pitchers EqERA will improve by at least 20% relative to the weighted average of his EqR/27 in his three previous seasons of performance. High breakout rates are indicative of upside risk.

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