以Rasch分析2006年世界桌球團體賽制

Using Rasch Analysis to the World Team Playing System of Table Tennis in 2006

10.6222/pej.4103.200809.0808

姚漢禱(Han-Dau Yau)；姚偉哲(Wei-Che Yao)

Rasch測量 ； 配對比較 ； 分級比賽 ； 排名決賽 ； Rasch measurement ； paired comparison ； group stage ； play-off stage

體育學報

41卷3期（2008 / 09 / 01）

95 - 105

繁體中文

目的：利用Rasch模式分析2006年世界桌球團體賽制的成績表現。研究對象爲2006年世界桌球團體賽分級比賽，每一級24隊，預賽分四組循環賽，各組前三名進行一至十二名排名決賽、後三名參加13至24名排名決賽。方法：應用多層面Facets估計各隊的潛在能力。結果：估計各隊的潛能和排名順序並不一致。結論：世界桌球團體賽制雖有利於明確的排名，但在對抗性的比賽中並非很公平。

Purposes: To analyze performance of the World Team Playing System of Table Tennis in 2006 by Rasch model. Subjects: In the World Team Playing System of Table Tennis in 2006, each level had 24 teams which were separated to 4 Round Matches at qualification, and the better three teams of each level continued to final at the ranking from 1 to 12, and the others continued to final at the ranking from 13 to 24. Method: To assess the potential capacity of each team by Multi-Facets. Result: The potential capacity and ranking order of each team were not the same. Conclusion: The World Team Playing System of Table Tennis was better for ranking, but it was not on fair in competitive games.

1. 姚漢禱(2004)。發展多層面階層Rasch模式分析淘汰賽的排名－以2002 FIFA世界盃決賽爲例。測驗統計年刊，12，141-154。
   連結：
2. Bradley, R. A.,Terry, M. E.(1952).Rank analysis of incomplete block designs I: The method of paired comparisons.Biometrika,39,324-345.
3. Davidson, R. R.,Beaver, R. J.(1977).On extending the Bradley-Terry model to incorporate within-pair order effects.Biometrics,33,693-702.
4. Ho, P. Y.,Yau, H. D.(2006).The development of Rasch model to analyze the ranking of elimination system with double repechage.Paper presented at the 2nd Pacific Rim Objective Measurement Symposium,Hong Kong:
5. Junker, B.,A. Boomsma,M. A. J. van Duijn,T. A. B. Snijders (Eds.)(2001).Essays on item response theory.New York:Springer-Verlag.
6. Linacre J. M.(1997).Paired comparisons with standard rasch software.Rasch Measurement Transactions,11(3),584-585.
7. Linacre J. M.(2001).Paired comparisons for measuring team performance.Rasch Measurement Transactions,15(1),812.
8. Linacre J. M.(1999).Paired comparison measurement with extreme scores.Rasch Measurement Transactions,12(3),646-647.
9. Linacre, J. M.(1995).Paired comparisons with ties: Bradley-Terry and Rasch.Rasch Measurement Transactions,9(2),425.
10. Computer programs manual
11. Linacre, J. M.(2006).Rasch analysis of rank-ordered data.Journal of Applied Measurement,7(1),129-139.
12. Thurstone, L. L.(1927).The method of paired comparisons for social values.Journal of Abnormal and Social Psychology,21,384-400.
13. 姚漢禱(2002)。行政院國家科學委員會專題研究成果報告行政院國家科學委員會專題研究成果報告,未出版
14. 姚漢禱(2003)。行政院國家科學委員會專題研究成果報告行政院國家科學委員會專題研究成果報告,未出版
15. 姚漢禱(2003)。用試題反應理論估計運動項目的成績表現排名。國立體育學院論叢，14(1)，119-132。

1. 謝立文、李德仁(2013)。羅許分析在編製運動賽會服務品質量表之應用。大專體育學刊，15(2)，169-181。
2. 張淑華,林巾凱,吳慧珉(2021)。納入評分者嚴苛度之幼兒姿勢動作分析。測驗學刊，68(4)，263-285。