排球赛积分方式的公平性评价分析  

Evaluation of the fairness of volleyball game points

作　　者：杨萌[1] 程铭东[1] 

机构地区：[1]黄石理工学院数理学院,湖北黄石435003

出　　处：《山东体育学院学报》2011年第4期76-78,共3页Journal of Shandong Sport University

摘　　要：根据排球比赛规则和赛事特征,结合层次分析和回归分析等方法,对各队比赛结果进行了综合实力指数计算,根据综合指数的大小对各球队进行排名获得一个绝对序列。再根据当前通常采用的三种积分方式,分别计算出各种积分方式下的球队排名序列对绝对序列的逆序数,逆序数的大小体现了各积分方式的公平性,逆序数即为球队排名与球队综合实力排名的吻合系数,逆序数越小,则积分方式越公平合理。最后,根据2008-2009安踏全国排球联赛男子A组排位赛的数据,对三种积分方式的公平性进行了仿真评价。According to volleyball rules and competition characteristics and with analytical hierarchy process and regression analysis method,it calculated the comprehensive strength index on the competition results of every team,and rank the teams according to the size of the comprehensive strength index in order to get an absolute sequence.Then it applied the current three commonly used methods of pointing,calculated respectively reverse number of team rankings sequence under all kinds of pointing method to absolute sequence number,and the size of the reverse number reflected the fairness of every pointing methods.The reverse number is the consistent factor of team ranking and comprehensive strength index ranking.The smaller the reverse number,the fairer of the pointing method.Finally,according to the data of Group Stage of 2008-2009 ANTA National Volleyball League Men＇s Group A,it made a simulated evaluating the fairness of the three pointing methods.

关 键 词：层次分析 回归分析 绝对序列 相对序列 逆序数 

分 类 号：G808.24[文化科学—体育训练]