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運用資料包絡分析法評估2003年中華職棒大聯盟投手球員績效表現

Measuring Pitchers' Performance Using Data Envelopment Analysis

摘要


本研究運用資料包絡分析法評估2003年中華職棒大聯盟投手球員績效表現,此法已被公認為一優異的相對效率評估工具。為強化結果一致性,本研究以三個因素分析來定義投球優勢邊界(防禦率、單局被安打率、四壞與三振比率),設定三個投入項(推測月薪、投球局數、投球數)與三個產出項(防禦率、單局被安打率、四壞與三振比率),評估2003年中華職棒大聯盟達到每場平均1.0局投球局數之19名投手球員績效表現。經DEA電腦軟體計算後,評估結果針對每位投手提出具體改進指標,有助每位投手球員提升比賽認知、確立求勝目標、創造球隊最大勝利。

並列摘要


In this paper a well-known tool for relative efficiency assessment, namely Data Envelopment Analysis (DEA), was used to measure the performance of pitchers during the 2003 Chinese Professional Baseball League (CPBL) season. To increase the consistency of the results, the researcher utilized three factors to define the Pitching Dominance Frontier (PDF) for pitchers' efficiency estimates. The proposed approach considered three inputs (salary, innings pitched, number of pitches) and three outputs (earned run average, hits/innings pitched, bases on balls/strike outs) to measure the efficiency of 19 qualified pitchers of the CPBL. The results were analyzed and performance indexes as well as benchmarks were computed for each pitcher. In addition, plotting the performance of a specific pitcher for games could help identify trends.

參考文獻


Anderson, T. R.,Sharp, G. P.(1997).A new measure of baseball batters using DEA.Annals of Operations Research.73,141-155.
Charnes, A.,Cooper, W. W.(1985).Preface topics in Data Envelopment Analysis.Annals of Operations Research.2,59-94.
Cooper, W. W.,Seiford, L. M.,Tone, K.(1999).Data envelopment analysis: A comprehensive text with models, applications, references and DEA-solver software.Boston, MA:Kluwer Academic.
Färe, R.,Grosskopf, S.,Lovell, C. A. K.(1985).The measurement of efficiency of production.Boston, MA:Kluwer-Nijhoff.
Golany, B.,Roll, Y.(1989).An application procedure for DEA.OMEGA.17(3),237-250.

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