今日Pujols。 - 美國職棒

By Kumar
at 2011-09-03T16:13
at 2011-09-03T16:13
Table of Contents
※ 引述《checktime (華哥)》之銘言:
看 XR 就知道了
在 XR 裡 BB 1B 2B 3B HR 的權重大約是 2:3:4:6:8.5
這是線性回歸的結果, 所以基本上也可以解釋成
「打出一支一壘安打提昇的得分期望值大約是拿到一個四壞的 1.5 倍」
其他類推
而 OPS 是 OBP + SLG = (BB + H)/PA + TB/AB
為了簡化, 我們假設 PA = n AB
(這個比例因人而異, 通常差不多 1.1 上下...Barry Bonds 之類的不討論 -.-)
把這個代進上面的 OPS 公式
又由於 H = 1B + 2B + 3B + HR, TB = 1B + 2 2B + 3 3B + 4 HR
我們可以得到
OPS * n AB = BB + (1 + n) 1B + (1 + 2n) 2B + (1 + 3n) 3B + (1 + 4n) HR
所以對於 n = 1.1 而言, 各項權重比為
2 : 4.2 : 6.4 : 8.6 : 10.8
顯然 OPS 低估 BB 與 HR, 而高估 3B
另一方面 1B 則絕對沒有被低估, 甚至比起長打而言絕對是被高估了
造成上面這個問題的原因其實應該很容易理解, 是 TA 權重
全壘打可以一次清壘, 價值肯定高於 OPS 中等價的一壘安打
另一方面, 不管壘上跑者跑多快, 也不可能推進超過三個壘包(沒壘可以推進了啊!)
所以三壘安打的價值在 TA 中被嚴重高估
事實上二壘安打也有類似狀況而稍微被高估, 不過還算 OK
但一壘安打能讓壘上跑者推進超過一個壘包的機會其實沒有想像中大
尤其二壘雖然叫得點圈, 但一安能清回二壘跑者的實際機率會讓很多印象派難以置信
大概是這個樣子
OPS 雖然算起來很簡單, 但是也因為太簡單了當然有它的問題
不過如果能了解它在什麼時候會稍微誤判打者價值, 就可以把它用得更有意義
--
「我最想要的同伴嘛,首先是要笑口常開,其次是我們能永遠不會發生誤會。
如果這些都能辦到的話,嗯,如果他是世界上第一流的橋手,也還不錯。」
-- 班尼多‧加羅素,前義大利藍隊成員
--
推 shyshy:前四個數據沒有任何意義?? PTT對OPS的崇拜真的是一窩蜂阿 09/03 13:28
→ shyshy:竟然拿OPS這種低估一壘打的數據 來推估安打型打者的價值 09/03 13:29
→ shyshy:OPS只是跟得分最相關 不是絕對相關... 09/03 13:30
→ jr00725016:請問OPS哪裡低估一壘安打了? 09/03 14:19
推 mightymouse:OPS低估一壘打??看不懂 09/03 14:20
→ mightymouse:一壘安打在壘上無人時,效果跟BB完全一樣 09/03 14:21
推 joice76x:OPS應該是高估長打率 OBS跟SLG不應是相等權重 09/03 15:04
看 XR 就知道了
在 XR 裡 BB 1B 2B 3B HR 的權重大約是 2:3:4:6:8.5
這是線性回歸的結果, 所以基本上也可以解釋成
「打出一支一壘安打提昇的得分期望值大約是拿到一個四壞的 1.5 倍」
其他類推
而 OPS 是 OBP + SLG = (BB + H)/PA + TB/AB
為了簡化, 我們假設 PA = n AB
(這個比例因人而異, 通常差不多 1.1 上下...Barry Bonds 之類的不討論 -.-)
把這個代進上面的 OPS 公式
又由於 H = 1B + 2B + 3B + HR, TB = 1B + 2 2B + 3 3B + 4 HR
我們可以得到
OPS * n AB = BB + (1 + n) 1B + (1 + 2n) 2B + (1 + 3n) 3B + (1 + 4n) HR
所以對於 n = 1.1 而言, 各項權重比為
2 : 4.2 : 6.4 : 8.6 : 10.8
顯然 OPS 低估 BB 與 HR, 而高估 3B
另一方面 1B 則絕對沒有被低估, 甚至比起長打而言絕對是被高估了
造成上面這個問題的原因其實應該很容易理解, 是 TA 權重
全壘打可以一次清壘, 價值肯定高於 OPS 中等價的一壘安打
另一方面, 不管壘上跑者跑多快, 也不可能推進超過三個壘包(沒壘可以推進了啊!)
所以三壘安打的價值在 TA 中被嚴重高估
事實上二壘安打也有類似狀況而稍微被高估, 不過還算 OK
但一壘安打能讓壘上跑者推進超過一個壘包的機會其實沒有想像中大
尤其二壘雖然叫得點圈, 但一安能清回二壘跑者的實際機率會讓很多印象派難以置信
大概是這個樣子
OPS 雖然算起來很簡單, 但是也因為太簡單了當然有它的問題
不過如果能了解它在什麼時候會稍微誤判打者價值, 就可以把它用得更有意義
--
「我最想要的同伴嘛,首先是要笑口常開,其次是我們能永遠不會發生誤會。
如果這些都能辦到的話,嗯,如果他是世界上第一流的橋手,也還不錯。」
-- 班尼多‧加羅素,前義大利藍隊成員
--
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美國職棒
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