Scoring Index
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| - | '''Scoring Index''' is a [[ | + | '''Scoring Index''' is a [[:Category:Statistics|baseball statistic]] invented by [[Earnshaw Cook]] to evaluate a hitter's or team's expected run production rate. Cook presented scoring index (he usually shortened it to DX) as one of the pillars of his book <ref>{{cite-book | title=Percentage Baseball| last=Cook| first=Earnshaw| publisher=M.I.T. Press | city=Cambridge, MA | year=1966 }}</ref>. First edition was published in 1964 but a larger second edition was published in 1966 by M.I.T. Press. <ref>{{cite-book | title=Percentage Baseball| last=Cook| first=Earnshaw| publisher=M.I.T. Press | city=Cambridge, MA | year=1966 }}</ref>. |
The concept of DX for a team is: | The concept of DX for a team is: | ||
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==="Stolen base" version of scoring index=== | ==="Stolen base" version of scoring index=== | ||
| - | Like Runs Created, Cook created a SB version of the formula: | + | Like [[Runs Created]], Cook created a SB version of the formula: |
<math>DX = \frac{A\;\times\;(TB+SB)}{PA\;\times\;PA}</math> | <math>DX = \frac{A\;\times\;(TB+SB)}{PA\;\times\;PA}</math> | ||
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===Individual player scoring index=== | ===Individual player scoring index=== | ||
| - | Cook's runs contributed for a player is the same concept as [Runs Created], placing the player in an average environment. Runs contributed is the player's DX calculated as for the team is plugged into the R/PA formula and then multiplied by the number of player's PAs. | + | Cook's runs contributed for a player is the same concept as [[Runs Created]], placing the player in an average environment. Runs contributed is the player's DX calculated as for the team is plugged into the R/PA formula and then multiplied by the number of player's PAs. |
Cook suggests two possible modifications to the DX formula for an individual player. He suggests reducing A by the number of errors the player comitted in the field. He also suggested changing SB to SB less CS. | Cook suggests two possible modifications to the DX formula for an individual player. He suggests reducing A by the number of errors the player comitted in the field. He also suggested changing SB to SB less CS. | ||
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<math>DX of Run = \frac{Team's TB\;\times\;Player's A}{Team's PA\;\times\;Player's PA}</math> | <math>DX of Run = \frac{Team's TB\;\times\;Player's A}{Team's PA\;\times\;Player's PA}</math> | ||
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| + | [[Category:Statistics]] | ||
Latest revision as of 14:58, 14 December 2009
Scoring Index is a baseball statistic invented by Earnshaw Cook to evaluate a hitter's or team's expected run production rate. Cook presented scoring index (he usually shortened it to DX) as one of the pillars of his book [1]. First edition was published in 1964 but a larger second edition was published in 1966 by M.I.T. Press. [2].
The concept of DX for a team is:
where
- A = Number of times team's players reached first base
- TB = Team's Total Bases
- PA = Team plate appearances
if DX < 0.100
if DX >= 0.100
[edit] "Stolen base" version of scoring index
Like Runs Created, Cook created a SB version of the formula:
where
- A = Number of times team's players reached first base
- TB = Team's Total Bases
- SB = Team's Stolen Bases
- PA = Team plate appearances
if DX < 0.1023
if DX >= 0.1023
[edit] Individual player scoring index
Cook's runs contributed for a player is the same concept as Runs Created, placing the player in an average environment. Runs contributed is the player's DX calculated as for the team is plugged into the R/PA formula and then multiplied by the number of player's PAs.
Cook suggests two possible modifications to the DX formula for an individual player. He suggests reducing A by the number of errors the player comitted in the field. He also suggested changing SB to SB less CS.
Cook also presented a method using the principle of DX to calculate a player's run statistic and his RBI statistic in the context of his team. For a player's RBI statistic, use the team's A rate (A of team/PA of team):
For a player's Run statistic, use the team's TB rate:
