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AN00135710-00560001-0045  
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Title
Title 東京六大学野球リーグ戦において勝敗結果から計算する優勝チームと勝点・勝率との比較研究  
Kana トウキョウ ロクダイガク ヤキュウ リーグセン ニ オイテ ショウハイ ケッカ カラ ケイサンスル ユウショウ チーム ト カチテン・ショウリツ トノ ヒカク ケンキュウ  
Romanization Tokyo rokudaigaku yakyu rigusen ni oite shohai kekka kara keisansuru yusho chimu to kachiten shoritsu tono hikaku kenkyu  
Other Title
Title A comparative study of the team strengths calculated by mathematical and statistical methods and points and winning rate of the Tokyo Big6 Baseball League.  
Kana  
Romanization  
Creator
Name 鳥海, 崇  
Kana トリウミ, タカシ  
Romanization Toriumi, Takashi  
Affiliation 慶應義塾大学体育研究所専任講師  
Affiliation (Translated) Assistant professor, Institute of Physical Education, Keio University  
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Name 綿田, 博人  
Kana ワタダ, ヒロヒト  
Romanization Watada, Hirohito  
Affiliation 慶應義塾大学体育研究所教授  
Affiliation (Translated) Professor, Institute of Physical Education, Keio University  
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Edition
 
Place
横浜  
Publisher
Name 慶應義塾大学体育研究所  
Kana ケイオウ ギジュク ダイガク タイイク ケンキュウジョ  
Romanization Keio gijuku daigaku taiiku kenkyujo  
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Issued (from:yyyy) 2017  
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Physical description
 
Source Title
Name 体育研究所紀要  
Name (Translated) Bulletin of the institute of physical education, Keio university  
Volume 56  
Issue 1  
Year 2017  
Month 1  
Start page 45  
End page 53  
ISSN
02866951  
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Abstract
In this study, we calculate the team strengths of the Tokyo Big6 Baseball League teams from 2001 to 2015 seasons by using five mathematical and statistical methods; which are ① Keener's model using points in the standings, ② Keener's model using wins and losses, ③ Bradley-Terry model using wins and losses, ④ Offence-Defense methods using scores, and ⑤ Keener's model using a parameter derived from points and winning rate. Based on the 20 results whose standings of the points and the winning rates are on the same order, we calculate the Kendall rank correlation coefficient between both rankings derived from strengths and from points in each method. The average coefficients from 2001 to 2015 seasons show that Keener's model using wins and losses, Keener's model using a parameter, and Bradley-Terry model have high correlations (more than 0.9). On the other hand, Keener's model using points in the standings and Offence-Defense model have a low correlation (less than 0.9). We also calculate the strengths in the case that the team ranked 1st in the standings is ranked 2nd in terms of the winning rate. The three methods with high correlations show that the strength of the team ranked highest in terms of wining rate is greater than the team ranked second highest. This implies that the winning rate is a better indicator of a team's strength than its points in the Tokyo Big6 Baseball League standings from 2001 to 2015.
 
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Keyword
東京六大学野球  

Keener のランキング法  

Bradley-Terry model の手法  

Tokyo Big6 Baseball League  

Keener's ranking method  

Bradley-Terry model  
NDC
 
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Language
日本語  

英語  
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text  
Genre
Departmental Bulletin Paper  
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Last modified date
Apr 12, 2017 09:07:53  
Creation date
Apr 12, 2017 09:07:53  
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/ Public / Institute of Physical Education / Bulletin of the institute of physical education, Keio university / 56(1) (2017)
 
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