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A joint confidence region for an overall ranking of populations
Author(s) -
Klein Martin,
Wright Tommy,
Wieczorek Jerzy
Publication year - 2020
Publication title -
journal of the royal statistical society: series c (applied statistics)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.205
H-Index - 72
eISSN - 1467-9876
pISSN - 0035-9254
DOI - 10.1111/rssc.12402
Subject(s) - ranking (information retrieval) , statistics , confidence interval , econometrics , measure (data warehouse) , sample (material) , mathematics , computer science , geography , data mining , information retrieval , chemistry , chromatography
Summary 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.