Model-based clustering for multivariate partial ranking data
Model-based clustering for multivariate partial ranking data
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DOI：
10.1016/j.jspi.2014.02.011
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发表时间：
2014-06-01
影响因子：
0.9
通讯作者：
Biernacki, Christophe
中科院分区：
文献类型：
--
作者：
Jacques, Julien;Biernacki, Christophe
本文提出了第一个基于模型的聚类算法，致力于多变量部分排名数据。这是一个扩展的插入排序排名（ISR）模型的排名数据，它具有双重属性，是一个有意义的模型，通过其位置和规模参数的描述，并通过其派生的排名生成过程假设是一个插入排序算法是一种“物理”模型。的异质性的排名人口建模的混合BR，而条件独立的假设允许扩展到多变量排名。通过SEM-Gibbs算法进行最大似然估计，并将部分排名视为缺失数据，这使得我们能够在估计过程中模拟它们。经过验证的估计算法以及鲁棒性的模型在模拟数据集上，三个真实的数据集进行了研究：1980年美国心理协会（阿帕）总统选举的选票，法国学生的一般知识测试的结果和欧洲国家的欧洲歌唱大赛的选票。建议的模型似乎是相关的比较，最标准的竞争对手的排名模型（如果可用），并导致每个应用程序的显着解释。特别是，欧洲国家之间的区域联盟在欧洲电视网的比赛中得到了展示，这些联盟经常被怀疑，但从未得到证实。(C)2014爱思唯尔有限公司版权所有。
This paper proposes the first model-based clustering algorithm dedicated to multivariate partial ranking data. This is an extension of the Insertion Sorting Rank (ISR) model for ranking data, which has the dual property to be a meaningful model through its location and scale parameters description and to be a kind of "physical" model through its derivation from the ranking generating process assumed to be an insertion sorting algorithm. The heterogeneity of the rank population is modeled by a mixture of BR, whereas a conditional independence assumption allows the extension to multivariate ranking. Maximum likelihood estimation is performed through a SEM-Gibbs algorithm, and partial rankings are considered as missing data, that allows us to simulate them during the estimation process. After having validated the estimation algorithm as well as the robustness of the model on simulated datasets, three real datasets were studied: the 1980 American Psychological Association (APA) presidential election votes, the results of French students to a general knowledge test and the votes of the European countries to the Eurovision song contest. The proposed model appears to be relevant in comparison with the most standard competitor ranking models (when available) and leads to significant interpretation for each application. In particular, regional alliances between European countries are exhibited in the Eurovision contest, which are often suspected but never proved. (C) 2014 Elsevier B.V. All rights reserved.