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    政大機構典藏 > 商學院 > 統計學系 > 學位論文 >  Item 140.119/76418
    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/76418


    Title: 成對資料之排名分析 ─以台灣超級籃球聯賽為例
    Ranking from paired comparisons - with application to Super Basketball League in Taiwan
    Authors: 林冠謀
    Contributors: 翁久幸
    林冠謀
    Keywords: Bradley-Terry模型
    台灣超級籃球聯賽
    線上學習演算法
    成對資料
    Bradley-Terry Model
    SBL
    Online learning algorithm
    paired comparison
    Date: 2015
    Issue Date: 2015-07-13 11:06:26 (UTC+8)
    Abstract: 本研究使用台灣超級籃球聯賽之對戰資料,透過建立統計模型並比較,探討各球隊間之排名狀況及比賽結果。以SBL第六季至第十一季間共六個賽季的對戰資料,作為實證資料的來源。研究採用Bradley Terry 模型、比較最大概似估計與幾種線上學習估計法的估計結果。這幾種線上學習估計法包括Steepest Descent method、Bayesian Learning method、Extend Kalman Filter method,接下來使用Pearson Correlation和Spearman Correlation來比較不同估計所得的排名間與真實排名的相關性。
    我們也討論動態模型,藉由加入狀態干擾項(state noise),研究參數是否隨著時間改變而有所變化。
    Reference: 一、 中文文獻
    1. 施致平,2001,中華職籃觀眾參與之預測模式研究,體育學報,30,131-142。
    2. 莊俊喬,2007,我國高中籃球聯賽發展之研究,國立臺灣師範大學體育學系論文。
    3. 詹嵐迪,2011,配對比較模式的研究-以美國職棒大聯盟的排序為例,中華大學應用統計碩士論文。
    二、 英文文獻
    1. A. H. Jazwinski, "Adaptive Filtering", Automatica, vol. 5, pp.475 -485, 1969.
    2. A. Agresti, Analysis of Ordinal Categorical Data, 2nd ed., New York: Wiley, 2002.
    3. Hallinan, S. E. Paired Comparison Models for Ranking National Soccer Teams, Master Dissertation, Department of Applied Statistics, Worcester Polytechnic Institute, 2005.
    4. J.F.G. DeFreitas, M. Niranjan and A.H. Gee, Hierarchical Bayesian-Kalman Models for Regularisation and ARD in Sequential Learning, 1998.
    5. L. R. Ford. Solution of a ranking problem from binary comparisons, Amer. Math., Monthly 64, pp.28-33, 1957.
    6. R. A. Bradley and M. Terry. The rank analysis of incomplete block designs: I. the method of paired comparisons, Biometrika, 39:324–345, 1952.
    7. R. R. Davidson., On extending the Bradley-terry model to accommodate ties in paired comparison experiments., Journal of the American Statistical Association, 65:317–328, 1970.
    8. Roger R. Davidson and Robert J. Beaver., On Extending the Bradley-Terry Model to Incorporate Within-Pair Order Effects.Biometrics, 33:693-702, 1977.
    9. Thurston, L. L. A Law of Comparative Judgment. Psychological Review, 34, pp.273-286, 1927.
    10. William D.Penny and Stephen J.Roberts.Dynamic Logistic Regression. Neural Networks, IJCNN’99. International Joint Conference on, 3, 1999.
    Description: 碩士
    國立政治大學
    統計研究所
    102354001
    103
    Source URI: http://thesis.lib.nccu.edu.tw/record/#G0102354001
    Data Type: thesis
    Appears in Collections:[統計學系] 學位論文

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