Rolland Antoine, Cugliari Jairo
ERIC EA 3083, Université de Lyon, Universit Lumière Lyon 2, Lyon, France.
J Appl Stat. 2019 Sep 29;47(7):1191-1207. doi: 10.1080/02664763.2019.1671963. eCollection 2020.
In a multivariate framework, ranking a data set can be done by using an aggregation function in order to obtain a global score for each individual, and then by using these scores to rank the individuals. The choice of the aggregation function (e.g. a weighted sum) and the choice of the parameters of the function (e.g. the weights) may have a great influence on the obtained ranking. We introduce in this communication a ratio index that can quantify the sensitivity of the data set ranking up to a change of weights. This index is investigated in the general case and in the restricted case of top- rankings. We also illustrate the interest to use such an index to analyse ranked data sets.
在多变量框架中，对数据集进行排名可以通过使用聚合函数来为每个个体获得一个全局分数，然后利用这些分数对个体进行排名。聚合函数的选择（例如加权和）以及函数参数的选择（例如权重）可能会对所得排名产生很大影响。在本交流中，我们引入一个比率指数，该指数可以量化数据集排名对权重变化的敏感度。此指数在一般情况下以及顶级排名的受限情况下进行了研究。我们还说明了使用这样一个指数来分析排名数据集的意义。
