CSS Button No Image Css3Menu.com

Baseball Prospectus home
  
  
Click here to log in Click here for forgotten password Click here to subscribe

Vote in the Internet Baseball Awards for a chance at a free copy of Dollar Sign on the Muscle
Voting ends in 15 days and 13 hours

Articles Tagged Pythagorean Expectation 

Search BP Articles

All Blogs (including podcasts)

Active Columns

Authors

Article Types

Archives
No Previous Tag Entries Next Tag Entries >>

This is a BP Premium article. To read it, sign up for Premium today!

October 7, 2006 12:00 am

Prospectus Today: Division Series, Day Four

0

Joe Sheehan

The A's won a Division Series, and they did it their way. The Tigers are one win away from joining them in an ALCS matchup no one predicted.

\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.'; xxxpxxxxx1160276734_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.'; xxxpxxxxx1160276734_19 = 'Support Neutral Lineup-adjusted Value Added (SNVA adjusted for the MLVr of batters faced) per game pitched.'; xxxpxxxxx1160276734_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).'; xxxpxxxxx1160276734_21 = 'The percentage of double play opportunities turned into actual double plays by a pitcher or hitter.'; xxxpxxxxx1160276734_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. '; xxxpxxxxx1160276734_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).'; xxxpxxxxx1160276734_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. '; xxxpxxxxx1160276734_25 = 'Batting average (hitters) or batting average allowed (pitchers).'; xxxpxxxxx1160276734_26 = 'Average number of pitches per start.'; xxxpxxxxx1160276734_27 = 'Average Pitcher Abuse Points per game started.'; xxxpxxxxx1160276734_28 = 'Singles or singles allowed.'; xxxpxxxxx1160276734_29 = 'Batting average; hits divided by at-bats.'; xxxpxxxxx1160276734_30 = 'Percentage of pitches thrown for balls.'; xxxpxxxxx1160276734_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 rest of this article is restricted to Baseball Prospectus Subscribers.

Not a subscriber?

Click here for more information on Baseball Prospectus subscriptions or use the buttons to the right to subscribe and get access to the best baseball content on the web.


Cancel anytime.


That's a 33% savings over the monthly price!


That's a 33% savings over the monthly price!

Already a subscriber? Click here and use the blue login bar to log in.

This is a BP Premium article. To read it, sign up for Premium today!

October 6, 2006 12:00 am

Prospectus Today: Division Series, Day Three

0

Joe Sheehan

The Yankees continued their run through the ... hey, not so fast! In San Diego, the Cardinals continued to make a statement about the importance of home-field advantage, while in New York the Mets were the one team to keep order in the first two games.

\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.'; xxxpxxxxx1160157644_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.'; xxxpxxxxx1160157644_19 = 'Support Neutral Lineup-adjusted Value Added (SNVA adjusted for the MLVr of batters faced) per game pitched.'; xxxpxxxxx1160157644_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).'; xxxpxxxxx1160157644_21 = 'The percentage of double play opportunities turned into actual double plays by a pitcher or hitter.'; xxxpxxxxx1160157644_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. '; xxxpxxxxx1160157644_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).'; xxxpxxxxx1160157644_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. '; xxxpxxxxx1160157644_25 = 'Batting average (hitters) or batting average allowed (pitchers).'; xxxpxxxxx1160157644_26 = 'Average number of pitches per start.'; xxxpxxxxx1160157644_27 = 'Average Pitcher Abuse Points per game started.'; xxxpxxxxx1160157644_28 = 'Singles or singles allowed.'; xxxpxxxxx1160157644_29 = 'Batting average; hits divided by at-bats.'; xxxpxxxxx1160157644_30 = 'Percentage of pitches thrown for balls.'; xxxpxxxxx1160157644_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 remainder of this post cannot be viewed at this subscription level. Please click here to subscribe.

Jim cleans up some old business, ponders the all-time greats at second base, and tries to avoid throwing things at the TV set.

\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.'; xxxpxxxxx1160158525_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.'; xxxpxxxxx1160158525_19 = 'Support Neutral Lineup-adjusted Value Added (SNVA adjusted for the MLVr of batters faced) per game pitched.'; xxxpxxxxx1160158525_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).'; xxxpxxxxx1160158525_21 = 'The percentage of double play opportunities turned into actual double plays by a pitcher or hitter.'; xxxpxxxxx1160158525_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. '; xxxpxxxxx1160158525_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).'; xxxpxxxxx1160158525_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. '; xxxpxxxxx1160158525_25 = 'Batting average (hitters) or batting average allowed (pitchers).'; xxxpxxxxx1160158525_26 = 'Average number of pitches per start.'; xxxpxxxxx1160158525_27 = 'Average Pitcher Abuse Points per game started.'; xxxpxxxxx1160158525_28 = 'Singles or singles allowed.'; xxxpxxxxx1160158525_29 = 'Batting average; hits divided by at-bats.'; xxxpxxxxx1160158525_30 = 'Percentage of pitches thrown for balls.'; xxxpxxxxx1160158525_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.

Read the full article...

This is a BP Premium article. To read it, sign up for Premium today!

October 5, 2006 12:00 am

Prospectus Today: Division Series, Day Two

0

Joe Sheehan

The Play is the talk of the water coolers, but plenty of other things happened on an abbreviated second day.

\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.'; xxxpxxxxx1160071649_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.'; xxxpxxxxx1160071649_19 = 'Support Neutral Lineup-adjusted Value Added (SNVA adjusted for the MLVr of batters faced) per game pitched.'; xxxpxxxxx1160071649_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).'; xxxpxxxxx1160071649_21 = 'The percentage of double play opportunities turned into actual double plays by a pitcher or hitter.'; xxxpxxxxx1160071649_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. '; xxxpxxxxx1160071649_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).'; xxxpxxxxx1160071649_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. '; xxxpxxxxx1160071649_25 = 'Batting average (hitters) or batting average allowed (pitchers).'; xxxpxxxxx1160071649_26 = 'Average number of pitches per start.'; xxxpxxxxx1160071649_27 = 'Average Pitcher Abuse Points per game started.'; xxxpxxxxx1160071649_28 = 'Singles or singles allowed.'; xxxpxxxxx1160071649_29 = 'Batting average; hits divided by at-bats.'; xxxpxxxxx1160071649_30 = 'Percentage of pitches thrown for balls.'; xxxpxxxxx1160071649_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 remainder of this post cannot be viewed at this subscription level. Please click here to subscribe.

Mailbag

BEST HITTER OUTSIDE COOPERSTOWN

Read the full article...

This week's question comes from Chuck Hildebrandt, who writes:

Read the full article...

October 12, 2000 12:00 am

Call It In The Air!

0

Dave Pease

\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.'; xxxpxxxxx1160184488_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.'; xxxpxxxxx1160184488_19 = 'Support Neutral Lineup-adjusted Value Added (SNVA adjusted for the MLVr of batters faced) per game pitched.'; xxxpxxxxx1160184488_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).'; xxxpxxxxx1160184488_21 = 'The percentage of double play opportunities turned into actual double plays by a pitcher or hitter.'; xxxpxxxxx1160184488_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. '; xxxpxxxxx1160184488_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).'; xxxpxxxxx1160184488_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. '; xxxpxxxxx1160184488_25 = 'Batting average (hitters) or batting average allowed (pitchers).'; xxxpxxxxx1160184488_26 = 'Average number of pitches per start.'; xxxpxxxxx1160184488_27 = 'Average Pitcher Abuse Points per game started.'; xxxpxxxxx1160184488_28 = 'Singles or singles allowed.'; xxxpxxxxx1160184488_29 = 'Batting average; hits divided by at-bats.'; xxxpxxxxx1160184488_30 = 'Percentage of pitches thrown for balls.'; xxxpxxxxx1160184488_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. '; xxxpxxxxx1160184488_32 = 'Approximate number of batting outs made while playing this position.'; xxxpxxxxx1160184488_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. '; xxxpxxxxx1160184488_34 = 'Bases on Balls, or bases on balls allowed.'; xxxpxxxxx1160184488_35 = 'Bases on balls allowed per 9 innings pitched.'; xxxpxxxxx1160184488_36 = 'Batters faced pitching.'; xxxpxxxxx1160184488_37 = 'Balks. Not recorded 1876-1880.'; xxxpxxxxx1160184488_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.'; xxxpxxxxx1160184488_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.'; xxxpxxxxx1160184488_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.

Read the full article...

Now, more than any time in baseball history, games are won and lost in the bullpen. As such, more attention has focused on the importance of a good bullpen as oen significant difference between a playoff team and an underachieving also-ran. Whether it's explaining the Mariners' inability to contend despite fielding two of the 50 greatest players in history, or defining how the Reds are in first place with Steve Avery in the rotation and Dmitri Young riding the bench, the fortunes of a team's bullpen seem to dictate the fortunes of the team as a whole.

We recently published the results of a study that looked at whether a good bullpen could add some sort of synergy to a team's win-loss record above and beyond the runs that they save, and conversely, whether a collection of pitchers throwing AckerCurves and WengerTaters would snatch more defeats from the jaws of victory than the run totals would suggest. In the study, published at ESPN.com, we looked at two sets of teams--those with the best bullpens in their league and those with the worst--and compared the records for those teams with their expected records, as calculated by the Pythagorean Method.

Read the full article...

No Previous Tag Entries Next Tag Entries >>