National statistical agencies lack statistical methodology to express uncertainty in their released estimated overall rankings. For example, the US Census Bureau produced an ‘explicit’ ranking of the states based on observed sample estimates during 2011 of mean travel time to work. Current literature provides measures of uncertainty in estimated individual ranks, but not a direct measure of uncertainty for the estimated overall ranking. We construct and visualize a joint confidence region for the true unknown overall ranking that provides a measure of uncertainty in the estimated overall ranking.

中文翻译：

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总体人口排名的共同信心区

国家统计机构缺乏统计方法来表达其发布的估计总体排名中的不确定性。例如，美国人口普查局根据2011年平均上班时间对样本的估计得出了各州的“显式”排名。当前的文献提供了估计的个人排名中不确定性的度量，但是没有提供估计的总体排名中不确定性的直接度量。我们为真正的未知总体排名构建并可视化一个联合置信区域，该联合置信范围提供了估计总体排名中不确定性的度量。