Extended ordered paired comparison models with application to football data from German Bundesliga

被引：14

作者：

Tutz, Gerhard ^{[1
]}

Schauberger, Gunther ^{[1
]}

机构：

[1] Univ Munich, D-80799 Munich, Germany

来源：

ASTA-ADVANCES IN STATISTICAL ANALYSIS | 2015年 / 99卷 / 02期

关键词：

Paired comparison systems; Penalized estimation; Bradley-Terry model; BRADLEY-TERRY MODEL; PACKAGE; TOURNAMENTS; RANKINGS; TIES;

D O I：

10.1007/s10182-014-0237-1

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

A general paired comparison model for the evaluation of sport competitions is proposed. It efficiently uses the available information by allowing for ordered response categories and team-specific home advantage effects. Penalized estimation techniques are used to identify clusters of teams that share the same ability. The model is extended to include team-specific explanatory variables. It is shown that regularization techniques allow to identify the contribution of explanatory variables to the success of teams. The usefulness of the methods is demonstrated by investigating the performance and its dependence on the budget for football teams of the German Bundesliga.

引用

页码：209 / 227

页数：19

共 37 条

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